Perturbation of the boundary in boundary-value problems of partial differential equations /

Perturbation of the boundary is a rather neglected topic in the study of PDEs for two main reasons. First, on the surface it appears trivial, merely a change of variables and an application of the chain rule. Second, carrying out such a change of variables frequently results in long and difficult ca...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Henry, Dan
Otros Autores: Hale, Jack, Pereira, Antônio
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2005.
Colección:London Mathematical Society lecture note series ; 318.
Temas:
Boundary value problems.
Perturbation (Mathematics)
Differential equations, Partial.
Problèmes aux limites.
Perturbation (Mathématiques)
Équations aux dérivées partielles.
MATHEMATICS > Differential Equations > Partial.
Boundary value problems
Differential equations, Partial
Partielle Differentialgleichung
Randwertproblem
Störungstheorie
Equações diferenciais parciais.
Perturbation (mathématiques)
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Geometrical preliminaries
  • Differential calculus of boundary perturbations
  • Examples using the implicit function theorem
  • Bifurcation problems
  • The tranversality theorem
  • Generic perturbation of the boundary
  • Boundary operators for second-order elliptic equations
  • The method of rapidly-oscillating solutions.

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