Cross Diffusion Systems : : Dynamics, Coexistence and Persistence / / Dung Le.
The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems. This book will be the first to investigate such problems presenting new findings for researchers interested in studying parabolic and elliptic systems where classical methods are not applicable. In...
Saved in:
Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 |
---|---|
VerfasserIn: | |
Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2022] ©2022 |
Year of Publication: | 2022 |
Language: | English |
Series: | De Gruyter Series in Nonlinear Analysis and Applications ,
40 |
Online Access: | |
Physical Description: | 1 online resource (X, 226 p.) |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
9783110795134 |
---|---|
ctrlnum |
(DE-B1597)625933 (OCoLC)1348488592 |
collection |
bib_alma |
record_format |
marc |
spelling |
Le, Dung, author. aut http://id.loc.gov/vocabulary/relators/aut Cross Diffusion Systems : Dynamics, Coexistence and Persistence / Dung Le. Berlin ; Boston : De Gruyter, [2022] ©2022 1 online resource (X, 226 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Series in Nonlinear Analysis and Applications , 0941-813X ; 40 Frontmatter -- Contents -- 1 Introduction -- 2 Preliminaries -- 3 Existence results for cross-diffusion systems -- 4 Scalar techniques and diagonalization -- 5 Existence of solutions to general elliptic systems -- 6 Existence of solutions to elliptic systems of two equations -- 7 Persistence in the dynamics of evolution processes -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems. This book will be the first to investigate such problems presenting new findings for researchers interested in studying parabolic and elliptic systems where classical methods are not applicable. In addition, The Gagliardo-Nirenberg inequality involving BMO norms is improved and new techniques are covered that will be of interest. This book also provides many open problems suitable for interested Ph.D students. 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 29. Mai 2023) Biologische Modellierung. Elliptische Systeme. Kreuzdiffusionssysteme. MATHEMATICS / Mathematical Analysis. bisacsh Cross diffusion systems, elliptic systems, dynamics of evolution processes. Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 9783110766820 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 English 9783110993899 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 9783110994810 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 English 9783110993868 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 9783110770445 ZDB-23-DMA EPUB 9783110795172 print 9783110794984 https://doi.org/10.1515/9783110795134 https://www.degruyter.com/isbn/9783110795134 Cover https://www.degruyter.com/document/cover/isbn/9783110795134/original |
language |
English |
format |
eBook |
author |
Le, Dung, Le, Dung, |
spellingShingle |
Le, Dung, Le, Dung, Cross Diffusion Systems : Dynamics, Coexistence and Persistence / De Gruyter Series in Nonlinear Analysis and Applications , Frontmatter -- Contents -- 1 Introduction -- 2 Preliminaries -- 3 Existence results for cross-diffusion systems -- 4 Scalar techniques and diagonalization -- 5 Existence of solutions to general elliptic systems -- 6 Existence of solutions to elliptic systems of two equations -- 7 Persistence in the dynamics of evolution processes -- Bibliography -- Index |
author_facet |
Le, Dung, Le, Dung, |
author_variant |
d l dl d l dl |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Le, Dung, |
title |
Cross Diffusion Systems : Dynamics, Coexistence and Persistence / |
title_sub |
Dynamics, Coexistence and Persistence / |
title_full |
Cross Diffusion Systems : Dynamics, Coexistence and Persistence / Dung Le. |
title_fullStr |
Cross Diffusion Systems : Dynamics, Coexistence and Persistence / Dung Le. |
title_full_unstemmed |
Cross Diffusion Systems : Dynamics, Coexistence and Persistence / Dung Le. |
title_auth |
Cross Diffusion Systems : Dynamics, Coexistence and Persistence / |
title_alt |
Frontmatter -- Contents -- 1 Introduction -- 2 Preliminaries -- 3 Existence results for cross-diffusion systems -- 4 Scalar techniques and diagonalization -- 5 Existence of solutions to general elliptic systems -- 6 Existence of solutions to elliptic systems of two equations -- 7 Persistence in the dynamics of evolution processes -- Bibliography -- Index |
title_new |
Cross Diffusion Systems : |
title_sort |
cross diffusion systems : dynamics, coexistence and persistence / |
series |
De Gruyter Series in Nonlinear Analysis and Applications , |
series2 |
De Gruyter Series in Nonlinear Analysis and Applications , |
publisher |
De Gruyter, |
publishDate |
2022 |
physical |
1 online resource (X, 226 p.) Issued also in print. |
contents |
Frontmatter -- Contents -- 1 Introduction -- 2 Preliminaries -- 3 Existence results for cross-diffusion systems -- 4 Scalar techniques and diagonalization -- 5 Existence of solutions to general elliptic systems -- 6 Existence of solutions to elliptic systems of two equations -- 7 Persistence in the dynamics of evolution processes -- Bibliography -- Index |
isbn |
9783110795134 9783110766820 9783110993899 9783110994810 9783110993868 9783110770445 9783110795172 9783110794984 |
issn |
0941-813X ; |
url |
https://doi.org/10.1515/9783110795134 https://www.degruyter.com/isbn/9783110795134 https://www.degruyter.com/document/cover/isbn/9783110795134/original |
illustrated |
Not Illustrated |
doi_str_mv |
10.1515/9783110795134 |
oclc_num |
1348488592 |
work_keys_str_mv |
AT ledung crossdiffusionsystemsdynamicscoexistenceandpersistence |
status_str |
n |
ids_txt_mv |
(DE-B1597)625933 (OCoLC)1348488592 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 |
is_hierarchy_title |
Cross Diffusion Systems : Dynamics, Coexistence and Persistence / |
container_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 |
_version_ |
1770177813066809344 |
fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04076nam a22007815i 4500</leader><controlfield tag="001">9783110795134</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20230529101353.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">230529t20222022gw fo d z eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110795134</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110795134</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)625933</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1348488592</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="072" ind1=" " ind2="7"><subfield code="a">MAT034000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Le, Dung, </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">Cross Diffusion Systems :</subfield><subfield code="b">Dynamics, Coexistence and Persistence /</subfield><subfield code="c">Dung Le.</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">[2022]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2022</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (X, 226 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">De Gruyter Series in Nonlinear Analysis and Applications ,</subfield><subfield code="x">0941-813X ;</subfield><subfield code="v">40</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">1 Introduction -- </subfield><subfield code="t">2 Preliminaries -- </subfield><subfield code="t">3 Existence results for cross-diffusion systems -- </subfield><subfield code="t">4 Scalar techniques and diagonalization -- </subfield><subfield code="t">5 Existence of solutions to general elliptic systems -- </subfield><subfield code="t">6 Existence of solutions to elliptic systems of two equations -- </subfield><subfield code="t">7 Persistence in the dynamics of evolution processes -- </subfield><subfield code="t">Bibliography -- </subfield><subfield code="t">Index</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">The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems. This book will be the first to investigate such problems presenting new findings for researchers interested in studying parabolic and elliptic systems where classical methods are not applicable. In addition, The Gagliardo-Nirenberg inequality involving BMO norms is improved and new techniques are covered that will be of interest. This book also provides many open problems suitable for interested Ph.D students.</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 29. Mai 2023)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Biologische Modellierung.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Elliptische Systeme.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Kreuzdiffusionssysteme.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Mathematical Analysis.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cross diffusion systems, elliptic systems, dynamics of evolution processes.</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">DG Plus DeG Package 2022 Part 1</subfield><subfield code="z">9783110766820</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">EBOOK PACKAGE COMPLETE 2022 English</subfield><subfield code="z">9783110993899</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">EBOOK PACKAGE COMPLETE 2022</subfield><subfield code="z">9783110994810</subfield><subfield code="o">ZDB-23-DGG</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">EBOOK PACKAGE Mathematics 2022 English</subfield><subfield code="z">9783110993868</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">EBOOK PACKAGE Mathematics 2022</subfield><subfield code="z">9783110770445</subfield><subfield code="o">ZDB-23-DMA</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">EPUB</subfield><subfield code="z">9783110795172</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9783110794984</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9783110795134</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9783110795134</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/document/cover/isbn/9783110795134/original</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-076682-0 DG Plus DeG Package 2022 Part 1</subfield><subfield code="b">2022</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-099386-8 EBOOK PACKAGE Mathematics 2022 English</subfield><subfield code="b">2022</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-099389-9 EBOOK PACKAGE COMPLETE 2022 English</subfield><subfield code="b">2022</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_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-DGG</subfield><subfield code="b">2022</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DMA</subfield><subfield code="b">2022</subfield></datafield></record></collection> |