Description

Book Synopsis
Aims to treat a theory of elliptic boundary value problems in domains without singularities and in domains with conical or cuspidal points. This work focuses on fundamental results of the theory: estimates for solutions in different function spaces, regularity assertions and asymptotic formulas for the solutions near singular points.

Table of Contents
Introduction Part 1: Boundary value problems for ordinary differential equations on the half-axis Elliptic boundary value problems in the half-space Elliptic boundary value problems in smooth domains Variants and extensions Part 2: Elliptic boundary value problems in an infinite cylinder Elliptic boundary value problems in domains with conical points Elliptic boundary value problems in weighted Sobolev spaces with nonhomogeneous norms Variants and extensions Part 3 Elliptic boundary value problems in domains with exterior cusps Elliptic boundary value problems in domains with inside cusps Bibliography Index List of symbols.

Elliptic Boundary Value Problems in Domains with

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    A Hardback by American Mathem American Mathem

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 9/30/1997 12:00:00 AM
      ISBN13: 9780821807545, 978-0821807545
      ISBN10: 0821807544

      Description

      Book Synopsis
      Aims to treat a theory of elliptic boundary value problems in domains without singularities and in domains with conical or cuspidal points. This work focuses on fundamental results of the theory: estimates for solutions in different function spaces, regularity assertions and asymptotic formulas for the solutions near singular points.

      Table of Contents
      Introduction Part 1: Boundary value problems for ordinary differential equations on the half-axis Elliptic boundary value problems in the half-space Elliptic boundary value problems in smooth domains Variants and extensions Part 2: Elliptic boundary value problems in an infinite cylinder Elliptic boundary value problems in domains with conical points Elliptic boundary value problems in weighted Sobolev spaces with nonhomogeneous norms Variants and extensions Part 3 Elliptic boundary value problems in domains with exterior cusps Elliptic boundary value problems in domains with inside cusps Bibliography Index List of symbols.

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