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:
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
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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