Título: Lectures On Elliptic Boundary Value Problems | ||
Autor: Agmon Shmuel | Precio: $512.31 | |
Editorial: American Mathematical Society | Año: 2010 | |
Tema: Matematicas, Textos, Teorias | 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 |