Multi-Layer Potentials and Boundary Problems for Higher-Order Elliptic Systems in Lipschitz Domains /

Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differential operator under discussion is of second order a variety of tools are available for dealing with such problems...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Mitrea, Irina (Autor), Mitrea, Marius (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Colección:Lecture Notes in Mathematics, 2063
Temas:
Potential theory (Mathematics).
Differential equations.
Integral equations.
Fourier analysis.
Potential Theory.
Differential Equations.
Integral Equations.
Fourier Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1 Introduction
  • 2 Smoothness scales and Caldeón-Zygmund theory in the scalar-valued case
  • 3 Function spaces of Whitney arrays
  • 4 The double multi-layer potential operator
  • 5 The single multi-layer potential operator
  • 6 Functional analytic properties of multi-layer potentials and boundary value problems.

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