Strongly Coupled Parabolic and Elliptic Systems : : Existence and Regularity of Strong and Weak Solutions /

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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Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1
VerfasserIn:
Le, Dung,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2018]
©2019
Year of Publication:2018
Language:English
Series:De Gruyter Series in Nonlinear Analysis and Applications , 28
Online Access:
Physical Description:1 online resource (X, 185 p.)
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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 De Gruyter,   |c [2018] 
264 4 |c ©2019 
300 |a 1 online resource (X, 185 p.) 
336 |a text  |b txt  |2 rdacontent 
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490 0 |a De Gruyter Series in Nonlinear Analysis and Applications ,  |x 0941-813X ;  |v 28 
505 0 0 |t Frontmatter --   |t Preface --   |t Contents --   |t 1. Introduction --   |t 2. Interpolation Gagliardo–Nirenberg inequalities --   |t 3. The parabolic systems --   |t 4. The elliptic systems --   |t 5. Cross-diffusion systems of porous media type --   |t 6. Nontrivial steady-state solutions --   |t A The duality RBMO(μ)–H1(μ) --   |t B Some algebraic inequalities --   |t C Partial regularity --   |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 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 
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 Control theory. 
650 0 |a Coupled mode theory. 
650 0 |a Differential equations, Elliptic. 
650 0 |a Differential equations, Parabolic. 
650 0 |a Differential equations, Partial. 
650 4 |a Diffusion. 
650 4 |a Gekoppeltes System. 
650 4 |a Nichtlineare elliptische Differentialgleichung. 
650 4 |a Nichtlineare parabolische Differentialgleichung. 
650 4 |a System von partiellen Differentialgleichungen. 
650 7 |a MATHEMATICS / Differential Equations / Partial.  |2 bisacsh 
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