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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Le, Dung (Mathematics professor) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : Walter de Gruyter GmbH, [2019]
Colección:De Gruyter series in nonlinear analysis and applications ; 28.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Le, Dung  |c (Mathematics professor),  |e author. 
245 1 0 |a Strongly coupled parabolic and elliptic systems :  |b existence and regularity of strong and weak solutions /  |c Dung Le. 
264 1 |a Berlin ;  |a Boston :  |b Walter de Gruyter GmbH,  |c [2019] 
300 |a 1 online resource (x, 184 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b n  |2 rdamedia 
338 |a online resource  |b nc  |2 rdacarrier 
490 1 |a De Gruyter series in nonlinear analysis and applications ;  |v volume 28 
504 |a Includes bibliographical references and index. 
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). 
588 0 |a Online resource; title from digital title page (viewed on April 12, 2019). 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Control theory. 
650 0 |a Coupled mode theory. 
650 0 |a Differential equations, Parabolic. 
650 0 |a Differential equations, Elliptic. 
650 0 |a Differential equations, Partial. 
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. 
650 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a CONTROL THEORY.  |2 cct 
650 7 |a Control theory  |2 fast 
650 7 |a Coupled mode theory  |2 fast 
650 7 |a Differential equations, Elliptic  |2 fast 
650 7 |a Differential equations, Parabolic  |2 fast 
650 7 |a Differential equations, Partial  |2 fast 
776 0 8 |i Print version:  |a Le, Dung (Mathematics professor).  |t Strongly coupled parabolic and elliptic systems.  |d Berlin ; Boston : De Gruyter, [2018]  |z 9783110607154  |w (DLC) 2018032555 
830 0 |a De Gruyter series in nonlinear analysis and applications ;  |v 28. 
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