Strongly Coupled Parabolic and Elliptic Systems : : Existence and Regularity of Strong and Weak Solutions / / Dung Le.
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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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2018] ©2019 |
| Year of Publication: | 2018 |
| Language: | English |
| Series: | De Gruyter Series in Nonlinear Analysis and Applications ,
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| Physical Description: | 1 online resource (X, 185 p.) |
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Le, Dung, author. aut http://id.loc.gov/vocabulary/relators/aut Strongly Coupled Parabolic and Elliptic Systems : Existence and Regularity of Strong and Weak Solutions / Dung Le. Berlin ; Boston : De Gruyter, [2018] ©2019 1 online resource (X, 185 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 ; 28 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(μ)–H1(μ) -- B Some algebraic inequalities -- C Partial regularity -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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(μ)–H1(μ)| Some algebraic inequalities Partial regularity 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) Control theory. Coupled mode theory. Differential equations, Elliptic. Differential equations, Parabolic. Differential equations, Partial. Diffusion. Gekoppeltes System. Nichtlineare elliptische Differentialgleichung. Nichtlineare parabolische Differentialgleichung. System von partiellen Differentialgleichungen. MATHEMATICS / Differential Equations / Partial. bisacsh Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 9783110762464 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019 9783110719567 Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications 9783110647099 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE DG 2019 English 9783110616859 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 English 9783110604252 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 9783110603255 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 English 9783110604191 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 9783110603194 ZDB-23-DMA EPUB 9783110607178 print 9783110607154 https://doi.org/10.1515/9783110608762 https://www.degruyter.com/isbn/9783110608762 Cover https://www.degruyter.com/document/cover/isbn/9783110608762/original |
| language |
English |
| format |
eBook |
| author |
Le, Dung, Le, Dung, |
| spellingShingle |
Le, Dung, Le, Dung, 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(μ)–H1(μ) -- B Some algebraic inequalities -- C Partial regularity -- 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 |
Strongly Coupled Parabolic and Elliptic Systems : Existence and Regularity of Strong and Weak Solutions / |
| title_sub |
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_auth |
Strongly Coupled Parabolic and Elliptic Systems : Existence and Regularity of Strong and Weak Solutions / |
| title_alt |
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(μ)–H1(μ) -- B Some algebraic inequalities -- C Partial regularity -- Bibliography -- Index |
| title_new |
Strongly Coupled Parabolic and Elliptic Systems : |
| title_sort |
strongly coupled parabolic and elliptic systems : existence and regularity of strong and weak solutions / |
| series |
De Gruyter Series in Nonlinear Analysis and Applications , |
| series2 |
De Gruyter Series in Nonlinear Analysis and Applications , |
| publisher |
De Gruyter, |
| publishDate |
2018 |
| physical |
1 online resource (X, 185 p.) Issued also in print. |
| 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(μ)–H1(μ) -- B Some algebraic inequalities -- C Partial regularity -- Bibliography -- Index |
| isbn |
9783110608762 9783110762464 9783110719567 9783110647099 9783110616859 9783110604252 9783110603255 9783110604191 9783110603194 9783110607178 9783110607154 |
| issn |
0941-813X ; |
| url |
https://doi.org/10.1515/9783110608762 https://www.degruyter.com/isbn/9783110608762 https://www.degruyter.com/document/cover/isbn/9783110608762/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
515 - Analysis |
| dewey-full |
515.642 |
| dewey-sort |
3515.642 |
| dewey-raw |
515.642 |
| dewey-search |
515.642 |
| doi_str_mv |
10.1515/9783110608762 |
| oclc_num |
1048657201 |
| work_keys_str_mv |
AT ledung stronglycoupledparabolicandellipticsystemsexistenceandregularityofstrongandweaksolutions |
| status_str |
n |
| ids_txt_mv |
(DE-B1597)497467 (OCoLC)1048657201 |
| carrierType_str_mv |
cr |
| hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019 Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE DG 2019 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 |
| is_hierarchy_title |
Strongly Coupled Parabolic and Elliptic Systems : Existence and Regularity of Strong and Weak Solutions / |
| container_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 |
| _version_ |
1806144477743546368 |
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