Strongly coupled parabolic and elliptic systems :: existence and regularity of strong and weak solutions /
Strongly coupled (or cross-diffusion) systems of parabolic and elliptic partial differential equations appear in many physical applications. This book presents a new approach to the solvability of general strongly coupled systems, a much more difficult problem in contrast to the scalar case, by unif...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston :
Walter de Gruyter GmbH,
[2019]
|
| Schriftenreihe: | De Gruyter series in nonlinear analysis and applications ;
28. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Strongly coupled (or cross-diffusion) systems of parabolic and elliptic partial differential equations appear in many physical applications. This book presents a new approach to the solvability of general strongly coupled systems, a much more difficult problem in contrast to the scalar case, by unifying, elucidating and extending breakthrough results obtained by the author, and providing solutions to many open fundamental questions in the theory. Several examples in mathematical biology and ecology are also included. Contents Interpolation Gagliardo-Nirenberg inequalities The parabolic systems The elliptic systems Cross-diffusion systems of porous media type Nontrivial steady-state solutions The duality RBMO(o)-H1(o). |
| Beschreibung: | 1 online resource (x, 184 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9783110608762 3110608766 9783110607178 3110607174 |
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| 505 | 0 | |a Frontmatter -- Preface -- Contents -- 1. Introduction -- 2. Interpolation Gagliardo-Nirenberg inequalities -- 3. The parabolic systems -- 4. The elliptic systems -- 5. Cross-diffusion systems of porous media type -- 6. Nontrivial steady-state solutions -- A The duality RBMO(o)-H1(o) -- B Some algebraic inequalities -- C Partial regularity -- Bibliography -- Index | |
| 520 | |a Strongly coupled (or cross-diffusion) systems of parabolic and elliptic partial differential equations appear in many physical applications. This book presents a new approach to the solvability of general strongly coupled systems, a much more difficult problem in contrast to the scalar case, by unifying, elucidating and extending breakthrough results obtained by the author, and providing solutions to many open fundamental questions in the theory. Several examples in mathematical biology and ecology are also included. Contents Interpolation Gagliardo-Nirenberg inequalities The parabolic systems The elliptic systems Cross-diffusion systems of porous media type Nontrivial steady-state solutions The duality RBMO(o)-H1(o). | ||
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| 650 | 6 | |a Théorie de la commande. | |
| 650 | 6 | |a Théorie des modes couplés. | |
| 650 | 6 | |a Équations différentielles paraboliques. | |
| 650 | 6 | |a Équations différentielles elliptiques. | |
| 650 | 6 | |a Équations aux dérivées partielles. | |
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| contents | Frontmatter -- Preface -- Contents -- 1. Introduction -- 2. Interpolation Gagliardo-Nirenberg inequalities -- 3. The parabolic systems -- 4. The elliptic systems -- 5. Cross-diffusion systems of porous media type -- 6. Nontrivial steady-state solutions -- A The duality RBMO(o)-H1(o) -- B Some algebraic inequalities -- C Partial regularity -- Bibliography -- Index |
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| id | ZDB-4-EBA-on1048657201 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:29:05Z |
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| language | English |
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| series2 | De Gruyter series in nonlinear analysis and applications ; |
| spelling | Le, Dung (Mathematics professor), author. http://id.loc.gov/authorities/names/n2018045302 Strongly coupled parabolic and elliptic systems : existence and regularity of strong and weak solutions / Dung Le. Berlin ; Boston : Walter de Gruyter GmbH, [2019] 1 online resource (x, 184 pages) text txt rdacontent computer n rdamedia online resource nc rdacarrier De Gruyter series in nonlinear analysis and applications ; volume 28 Includes bibliographical references and index. Frontmatter -- Preface -- Contents -- 1. Introduction -- 2. Interpolation Gagliardo-Nirenberg inequalities -- 3. The parabolic systems -- 4. The elliptic systems -- 5. Cross-diffusion systems of porous media type -- 6. Nontrivial steady-state solutions -- A The duality RBMO(o)-H1(o) -- B Some algebraic inequalities -- C Partial regularity -- Bibliography -- Index Strongly coupled (or cross-diffusion) systems of parabolic and elliptic partial differential equations appear in many physical applications. This book presents a new approach to the solvability of general strongly coupled systems, a much more difficult problem in contrast to the scalar case, by unifying, elucidating and extending breakthrough results obtained by the author, and providing solutions to many open fundamental questions in the theory. Several examples in mathematical biology and ecology are also included. Contents Interpolation Gagliardo-Nirenberg inequalities The parabolic systems The elliptic systems Cross-diffusion systems of porous media type Nontrivial steady-state solutions The duality RBMO(o)-H1(o). Online resource; title from digital title page (viewed on April 12, 2019). Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Coupled mode theory. http://id.loc.gov/authorities/subjects/sh85033491 Differential equations, Parabolic. http://id.loc.gov/authorities/subjects/sh85037909 Differential equations, Elliptic. http://id.loc.gov/authorities/subjects/sh85037895 Differential equations, Partial. http://id.loc.gov/authorities/subjects/sh85037912 Théorie de la commande. Théorie des modes couplés. Équations différentielles paraboliques. Équations différentielles elliptiques. Équations aux dérivées partielles. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh CONTROL THEORY. cct Control theory fast Coupled mode theory fast Differential equations, Elliptic fast Differential equations, Parabolic fast Differential equations, Partial fast has work: Strongly coupled parabolic and elliptic systems (Text) https://id.oclc.org/worldcat/entity/E39PCGHDjYr7hjJJPyrcqxtR8C https://id.oclc.org/worldcat/ontology/hasWork Print version: Le, Dung (Mathematics professor). Strongly coupled parabolic and elliptic systems. Berlin ; Boston : De Gruyter, [2018] 9783110607154 (DLC) 2018032555 De Gruyter series in nonlinear analysis and applications ; 28. http://id.loc.gov/authorities/names/n92047842 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1927021 Volltext |
| spellingShingle | Le, Dung (Mathematics professor) Strongly coupled parabolic and elliptic systems : existence and regularity of strong and weak solutions / De Gruyter series in nonlinear analysis and applications ; Frontmatter -- Preface -- Contents -- 1. Introduction -- 2. Interpolation Gagliardo-Nirenberg inequalities -- 3. The parabolic systems -- 4. The elliptic systems -- 5. Cross-diffusion systems of porous media type -- 6. Nontrivial steady-state solutions -- A The duality RBMO(o)-H1(o) -- B Some algebraic inequalities -- C Partial regularity -- Bibliography -- Index Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Coupled mode theory. http://id.loc.gov/authorities/subjects/sh85033491 Differential equations, Parabolic. http://id.loc.gov/authorities/subjects/sh85037909 Differential equations, Elliptic. http://id.loc.gov/authorities/subjects/sh85037895 Differential equations, Partial. http://id.loc.gov/authorities/subjects/sh85037912 Théorie de la commande. Théorie des modes couplés. Équations différentielles paraboliques. Équations différentielles elliptiques. Équations aux dérivées partielles. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh CONTROL THEORY. cct Control theory fast Coupled mode theory fast Differential equations, Elliptic fast Differential equations, Parabolic fast Differential equations, Partial fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85031658 http://id.loc.gov/authorities/subjects/sh85033491 http://id.loc.gov/authorities/subjects/sh85037909 http://id.loc.gov/authorities/subjects/sh85037895 http://id.loc.gov/authorities/subjects/sh85037912 |
| title | Strongly coupled parabolic and elliptic systems : existence and regularity of strong and weak solutions / |
| title_auth | Strongly coupled parabolic and elliptic systems : existence and regularity of strong and weak solutions / |
| title_exact_search | Strongly coupled parabolic and elliptic systems : existence and regularity of strong and weak solutions / |
| title_full | Strongly coupled parabolic and elliptic systems : existence and regularity of strong and weak solutions / Dung Le. |
| title_fullStr | Strongly coupled parabolic and elliptic systems : existence and regularity of strong and weak solutions / Dung Le. |
| title_full_unstemmed | Strongly coupled parabolic and elliptic systems : existence and regularity of strong and weak solutions / Dung Le. |
| title_short | Strongly coupled parabolic and elliptic systems : |
| title_sort | strongly coupled parabolic and elliptic systems existence and regularity of strong and weak solutions |
| title_sub | existence and regularity of strong and weak solutions / |
| topic | Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Coupled mode theory. http://id.loc.gov/authorities/subjects/sh85033491 Differential equations, Parabolic. http://id.loc.gov/authorities/subjects/sh85037909 Differential equations, Elliptic. http://id.loc.gov/authorities/subjects/sh85037895 Differential equations, Partial. http://id.loc.gov/authorities/subjects/sh85037912 Théorie de la commande. Théorie des modes couplés. Équations différentielles paraboliques. Équations différentielles elliptiques. Équations aux dérivées partielles. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh CONTROL THEORY. cct Control theory fast Coupled mode theory fast Differential equations, Elliptic fast Differential equations, Parabolic fast Differential equations, Partial fast |
| topic_facet | Control theory. Coupled mode theory. Differential equations, Parabolic. Differential equations, Elliptic. Differential equations, Partial. Théorie de la commande. Théorie des modes couplés. Équations différentielles paraboliques. Équations différentielles elliptiques. Équations aux dérivées partielles. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. CONTROL THEORY. Control theory Coupled mode theory Differential equations, Elliptic Differential equations, Parabolic Differential equations, Partial |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1927021 |
| work_keys_str_mv | AT ledung stronglycoupledparabolicandellipticsystemsexistenceandregularityofstrongandweaksolutions |