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 - Softcover

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
Softcover
ISBN 10: 365951327X ISBN 13: 9783659513275
Publisher: 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.

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About the Author

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

"About this title" may belong to another edition of this title.

Publisher
LAP LAMBERT Academic Publishing
Publication date
2014
Language
English
ISBN 10 
365951327X
ISBN 13 
9783659513275
Binding
Paperback
Number of pages
60