Transmission Problems for Elliptic Second-Order Equations in Non-Smooth Domains

The goal of this book is to investigate the behavior of weak solutions of the elliptic transmission problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is discussed for both linear and quasilinear equations. A principal new feature of this book is the...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Borsuk, Mikhail (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2010.
Edición:1st ed. 2010.
Colección:Frontiers in Mathematics,
Temas:
Differential equations.
Differential Equations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preliminaries
  • Eigenvalue problem and integro-differential inequalities
  • Best possible estimates of solutions to the transmission problem for linear elliptic divergence second-order equations in a conical domain
  • Transmission problem for the Laplace operator with N different media
  • Transmission problem for weak quasi-linear elliptic equations in a conical domain
  • Transmission problem for strong quasi-linear elliptic equations in a conical domain
  • Best possible estimates of solutions to the transmission problem for a quasi-linear elliptic divergence second-order equation in a domain with a boundary edge.

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