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Precio: $512.31
Editorial:
Año: 2010
Tema:
Edición: 1ª
Sinopsis
ISBN: 9780821849101
This book, which is a new edition of a book originally published in 1965, presents an introduction to the theory of higher-order elliptic boundary value problems. The book contains a detailed study of basic problems of the theory, such as the problem of existence and regularity of solutions of higher-order elliptic boundary value problems. It also contains a study of spectral properties of operators associated with elliptic boundary value problems. Weyl's law on the asymptotic distribution of eigenvalues is studied in great generality.
Table of Contents
Notations and conventions
Calculus of $L^2 derivatives--Local properties
Calculus of $L^2 derivatives--Global properties
Some inequalities
Elliptic operators
Local existence theory
Local regularity of solutions of elliptic systems
Gårding's inequality
Global existence
Global regularity of solutions of strongly elliptic equations
Coerciveness
Coerciveness results of Aronszajn and Smith
Some results on linear transformations on a Hilbert space
Spectral theory of abstract operators
Eigenvalue problems for elliptic equations; The self-adjoint case
Non-self-adjoint eigenvalue problems
Completeness of the eigenfunctions
Bibliography
Notation index
Index