Strongly Coupled Parabolic and Elliptic Systems : Existence and Regularity of Strong and Weak Solutions
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| Title: | Strongly Coupled Parabolic and Elliptic Systems : Existence and Regularity of Strong and Weak Solutions |
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| Description: | 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 |
| Authors: | Dung Le |
| Resource Type: | eBook. |
| Subjects: | Differential equations, Parabolic, Differential equations, Elliptic, Control theory, Coupled mode theory, Differential equations, Partial |
| Categories: | MATHEMATICS / Differential Equations / Partial, MATHEMATICS / Mathematical Analysis |
| Database: | eBook Collection (EBSCOhost) |
| Abstract: | 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 |
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| ISBN: | 9783110607154 9783110607178 9783110608762 |
