Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation / / Mukarram A. Atakhodzhaev.

Internal boundary value problems deals with the problem of determining the solution of an equation if data are given on two manifolds. One manifold is the domain boundary and the other manifold is situated inside the domain. This monograph studies three essentially ill-posed internal boundary value...

Full description

Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
VerfasserIn:
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2014]
©2002
Year of Publication:2014
Edition:Reprint 2014
Language:English
Series:Inverse and Ill-Posed Problems Series , 35
Online Access:
Physical Description:1 online resource (158 p.)
Tags: Add Tag
No Tags, Be the first to tag this record!
id 9783110944815
ctrlnum (DE-B1597)57162
(OCoLC)900794520
collection bib_alma
record_format marc
spelling Atakhodzhaev, Mukarram A., author. aut http://id.loc.gov/vocabulary/relators/aut
Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation / Mukarram A. Atakhodzhaev.
Reprint 2014
Berlin ; Boston : De Gruyter, [2014]
©2002
1 online resource (158 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Inverse and Ill-Posed Problems Series , 1381-4524 ; 35
Frontmatter -- Preface -- Contents -- Introduction -- Chapter 1. The first internal boundary value problem -- Chapter 2. The second internal boundary value problem -- Chapter 3. The third internal boundary value problem -- Chapter 4. Internal boundary value problems and the Cauchy problem for the abstract biharmonic equation -- Chapter 5. Appendices -- Bibliography
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
Internal boundary value problems deals with the problem of determining the solution of an equation if data are given on two manifolds. One manifold is the domain boundary and the other manifold is situated inside the domain. This monograph studies three essentially ill-posed internal boundary value problems for the biharmonic equation and the Cauchy problem for the abstract biharmonic equation, both qualitatively and quantitatively. In addition, some variants of these problems and the Cauchy problem, as well as the m-dimensional case, are considered. The author introduces some new notions, such as the notion of complete solvability.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)
Biharmonic equations.
Boundary value problems.
Differential equations, Partial Improperly posed problems.
Inverses Problem.
Partielle Differentialgleichung.
Randwertproblem.
MATHEMATICS / Differential Equations / General. bisacsh
Biharmonic Equation.
Cauchy Problem.
Domain Boundary.
Ill-posed.
Internal Boundary Value Problems.
Manifolds.
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570
Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471
Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA
print 9789067643658
https://doi.org/10.1515/9783110944815
https://www.degruyter.com/isbn/9783110944815
Cover https://www.degruyter.com/document/cover/isbn/9783110944815/original
language English
format eBook
author Atakhodzhaev, Mukarram A.,
Atakhodzhaev, Mukarram A.,
spellingShingle Atakhodzhaev, Mukarram A.,
Atakhodzhaev, Mukarram A.,
Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation /
Inverse and Ill-Posed Problems Series ,
Frontmatter --
Preface --
Contents --
Introduction --
Chapter 1. The first internal boundary value problem --
Chapter 2. The second internal boundary value problem --
Chapter 3. The third internal boundary value problem --
Chapter 4. Internal boundary value problems and the Cauchy problem for the abstract biharmonic equation --
Chapter 5. Appendices --
Bibliography
author_facet Atakhodzhaev, Mukarram A.,
Atakhodzhaev, Mukarram A.,
author_variant m a a ma maa
m a a ma maa
author_role VerfasserIn
VerfasserIn
author_sort Atakhodzhaev, Mukarram A.,
title Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation /
title_full Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation / Mukarram A. Atakhodzhaev.
title_fullStr Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation / Mukarram A. Atakhodzhaev.
title_full_unstemmed Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation / Mukarram A. Atakhodzhaev.
title_auth Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation /
title_alt Frontmatter --
Preface --
Contents --
Introduction --
Chapter 1. The first internal boundary value problem --
Chapter 2. The second internal boundary value problem --
Chapter 3. The third internal boundary value problem --
Chapter 4. Internal boundary value problems and the Cauchy problem for the abstract biharmonic equation --
Chapter 5. Appendices --
Bibliography
title_new Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation /
title_sort ill-posed internal boundary value problems for the biharmonic equation /
series Inverse and Ill-Posed Problems Series ,
series2 Inverse and Ill-Posed Problems Series ,
publisher De Gruyter,
publishDate 2014
physical 1 online resource (158 p.)
Issued also in print.
edition Reprint 2014
contents Frontmatter --
Preface --
Contents --
Introduction --
Chapter 1. The first internal boundary value problem --
Chapter 2. The second internal boundary value problem --
Chapter 3. The third internal boundary value problem --
Chapter 4. Internal boundary value problems and the Cauchy problem for the abstract biharmonic equation --
Chapter 5. Appendices --
Bibliography
isbn 9783110944815
9783110238570
9783110238471
9783110637205
9789067643658
issn 1381-4524 ;
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA377
callnumber-sort QA 3377 A86 42002EB
url https://doi.org/10.1515/9783110944815
https://www.degruyter.com/isbn/9783110944815
https://www.degruyter.com/document/cover/isbn/9783110944815/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 515 - Analysis
dewey-full 515/.353
dewey-sort 3515 3353
dewey-raw 515/.353
dewey-search 515/.353
doi_str_mv 10.1515/9783110944815
oclc_num 900794520
work_keys_str_mv AT atakhodzhaevmukarrama illposedinternalboundaryvalueproblemsforthebiharmonicequation
status_str n
ids_txt_mv (DE-B1597)57162
(OCoLC)900794520
carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN)
Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014
is_hierarchy_title Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation /
container_title Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
_version_ 1806144865580351489
fullrecord <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04383nam a22008895i 4500</leader><controlfield tag="001">9783110944815</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20230228020105.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">230228t20142002gw fo d z eng d</controlfield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">(OCoLC)1013949232</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110944815</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110944815</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)57162</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)900794520</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA377</subfield><subfield code="b">.A86 2002eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT007000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">515/.353</subfield><subfield code="2">21</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Atakhodzhaev, Mukarram A., </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation /</subfield><subfield code="c">Mukarram A. Atakhodzhaev.</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Reprint 2014</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ;</subfield><subfield code="a">Boston : </subfield><subfield code="b">De Gruyter, </subfield><subfield code="c">[2014]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2002</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (158 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Inverse and Ill-Posed Problems Series ,</subfield><subfield code="x">1381-4524 ;</subfield><subfield code="v">35</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Preface -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Introduction -- </subfield><subfield code="t">Chapter 1. The first internal boundary value problem -- </subfield><subfield code="t">Chapter 2. The second internal boundary value problem -- </subfield><subfield code="t">Chapter 3. The third internal boundary value problem -- </subfield><subfield code="t">Chapter 4. Internal boundary value problems and the Cauchy problem for the abstract biharmonic equation -- </subfield><subfield code="t">Chapter 5. Appendices -- </subfield><subfield code="t">Bibliography</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Internal boundary value problems deals with the problem of determining the solution of an equation if data are given on two manifolds. One manifold is the domain boundary and the other manifold is situated inside the domain. This monograph studies three essentially ill-posed internal boundary value problems for the biharmonic equation and the Cauchy problem for the abstract biharmonic equation, both qualitatively and quantitatively. In addition, some variants of these problems and the Cauchy problem, as well as the m-dimensional case, are considered. The author introduces some new notions, such as the notion of complete solvability.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Biharmonic equations.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Boundary value problems.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Differential equations, Partial</subfield><subfield code="x">Improperly posed problems.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Inverses Problem.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Partielle Differentialgleichung.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Randwertproblem.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Differential Equations / General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Biharmonic Equation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cauchy Problem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Domain Boundary.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Ill-posed.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Internal Boundary Value Problems.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Manifolds.</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DGBA Backlist Complete English Language 2000-2014 PART1</subfield><subfield code="z">9783110238570</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DGBA Backlist Mathematics 2000-2014 (EN)</subfield><subfield code="z">9783110238471</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DGBA Mathematics - 2000 - 2014</subfield><subfield code="z">9783110637205</subfield><subfield code="o">ZDB-23-GMA</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9789067643658</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9783110944815</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9783110944815</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/document/cover/isbn/9783110944815/original</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-023847-1 DGBA Backlist Mathematics 2000-2014 (EN)</subfield><subfield code="c">2000</subfield><subfield code="d">2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-023857-0 DGBA Backlist Complete English Language 2000-2014 PART1</subfield><subfield code="c">2000</subfield><subfield code="d">2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_BACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_CL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_DGALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ECL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EEBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ESTMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_STMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV-deGruyter-alles</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA12STME</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA13ENGE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA18STMEE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA5EBK</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-GMA</subfield><subfield code="c">2000</subfield><subfield code="d">2014</subfield></datafield></record></collection>