Partial Differential Equations : : A unified Hilbert Space Approach / / Rainer Picard, Des McGhee.
This book presents a systematic approach to a solution theory for linear partial differential equations developed in a Hilbert space setting based on a Sobolev lattice structure, a simple extension of the well-established notion of a chain (or scale) of Hilbert spaces. The focus on a Hilbert space s...
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Superior document: | Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2011] ©2011 |
Year of Publication: | 2011 |
Language: | English |
Series: | De Gruyter Expositions in Mathematics ,
55 |
Online Access: | |
Physical Description: | 1 online resource (469 p.) |
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100 | 1 | |a Picard, Rainer, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 0 | |a Partial Differential Equations : |b A unified Hilbert Space Approach / |c Rainer Picard, Des McGhee. |
264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2011] | |
264 | 4 | |c ©2011 | |
300 | |a 1 online resource (469 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
490 | 0 | |a De Gruyter Expositions in Mathematics , |x 0938-6572 ; |v 55 | |
505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t Nomenclature -- |t Chapter 1 Elements of Hilbert Space Theory -- |t Chapter 2 Sobolev Lattices -- |t Chapter 3 Linear Partial Differential Equations with Constant Coefficients in Rn+1, n ∈ N -- |t Chapter 4 Linear Evolution Equations -- |t Chapter 5 Some Evolution Equations of Mathematical Physics -- |t Chapter 6 A “Royal Road” to Initial Boundary Value Problems of Mathematical Physics -- |t Conclusion -- |t Bibliography -- |t Index |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |a This book presents a systematic approach to a solution theory for linear partial differential equations developed in a Hilbert space setting based on a Sobolev lattice structure, a simple extension of the well-established notion of a chain (or scale) of Hilbert spaces. The focus on a Hilbert space setting (rather than on an apparently more general Banach space) is not a severe constraint, but rather a highly adaptable and suitable approach providing a more transparent framework for presenting the main issues in the development of a solution theory for partial differential equations. In contrast to other texts on partial differential equations, which consider either specific equation types or apply a collection of tools for solving a variety of equations, this book takes a more global point of view by focusing on the issues involved in determining the appropriate functional analytic setting in which a solution theory can be naturally developed. Applications to many areas of mathematical physics are also presented. The book aims to be largely self-contained. Full proofs to all but the most straightforward results are provided, keeping to a minimum references to other literature for essential material. It is therefore highly suitable as a resource for graduate courses and also for researchers, who will find new results for particular evolutionary systems from mathematical physics. | ||
530 | |a Issued also in print. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) | |
650 | 0 | |a Differential equations, Partial. | |
650 | 0 | |a Hilbert space. | |
650 | 4 | |a Evolution Equation. | |
650 | 4 | |a Hilbert Space. | |
650 | 4 | |a Mathematics. | |
650 | 4 | |a Partial Differential Equations. | |
650 | 4 | |a Sobolev. | |
650 | 7 | |a MATHEMATICS / Differential Equations / General. |2 bisacsh | |
653 | |a Evolution Equation. | ||
653 | |a Hilbert Space. | ||
653 | |a Mathematics. | ||
653 | |a Partial Differential Equations. | ||
653 | |a Sobolev. | ||
700 | 1 | |a McGhee, Des, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Expositions in Mathematics Backlist eBook Package |z 9783110494969 |o ZDB-23-EXM |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Backlist Complete English Language 2000-2014 PART1 |z 9783110238570 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Backlist Mathematics 2000-2014 (EN) |z 9783110238471 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Mathematics - 2000 - 2014 |z 9783110637205 |o ZDB-23-GMA |
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773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2010 |z 9783110233551 |
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776 | 0 | |c print |z 9783110250268 | |
856 | 4 | 0 | |u https://doi.org/10.1515/9783110250275 |
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