On the Dirichlet Problem for Equations in an Unbounded Domain: Unique Solvability of the Dirichlet Problem for Quasilinear Equations in a Domain with Infinite Area of the Boundary - Couverture souple

Poborchi, Sergei

 
9783659513275: On the Dirichlet Problem for Equations in an Unbounded Domain: Unique Solvability of the Dirichlet Problem for Quasilinear Equations in a Domain with Infinite Area of the Boundary
Couverture souple
ISBN 10 : 365951327X ISBN 13 : 9783659513275
Editeur : LAP LAMBERT Academic Publishing, 2014

Synopsis

In the present book we study solvability and uniqueness of the soution to the Dirichlet problem for the p-Laplace equation and the equation of Helmholtz type. For the functions in Sobolev spaces of first order their boundary traces are characterized for the interior and exterior of the multidimensional paraboloid. Thus, necessary and sufficient conditions are obtained for solvability of the above Dirichlet problem inside and outside the paraboloid. The monograph is addressed to the students of higher courses and PhD students whose scientific interests lie in the function theory and the theory of boundary value problems for partial differential equations.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

In the present book we study solvability and uniqueness of the soution to the Dirichlet problem for the p-Laplace equation and the equation of Helmholtz type. For the functions in Sobolev spaces of first order their boundary traces are characterized for the interior and exterior of the multidimensional paraboloid. Thus, necessary and sufficient conditions are obtained for solvability of the above Dirichlet problem inside and outside the paraboloid. The monograph is addressed to the students of higher courses and PhD students whose scientific interests lie in the function theory and the theory of boundary value problems for partial differential equations.

Biographie de l'auteur

Graduated from the Mathematical and Mechanical Department of Leningrad State University in 1971. Candidate of science(PhD) since 1981. Doctor of science since 2001. Profesor of Petersburg State University since 2002.Scientific interests: Sobolev spaces and their applications to partial differential equations

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2014
Langue
anglais
ISBN 10 
365951327X
ISBN 13 
9783659513275
Reliure
Broché
Nombre de pages
60
Coordonnées du fabricant
non disponible
Personne responsable
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