On Uniqueness and Existence of Viscosity Solutions of Fully Nonlinear Second-Order Elliptic PDE's
Download or Read eBook On Uniqueness and Existence of Viscosity Solutions of Fully Nonlinear Second-Order Elliptic PDE's PDF written by Hitoshi Ishii and published by . This book was released on 1989 with total page 31 pages. Available in PDF, EPUB and Kindle.
Author | : Hitoshi Ishii |
Publisher | : |
Total Pages | : 31 |
Release | : 1989 |
ISBN-10 | : OCLC:227730756 |
ISBN-13 | : |
Rating | : 4/5 (56 Downloads) |
Book Synopsis On Uniqueness and Existence of Viscosity Solutions of Fully Nonlinear Second-Order Elliptic PDE's by : Hitoshi Ishii
Book excerpt: We prove several comparison and existence theorems for viscosity solutions of fully nonlinear degenerate elliptic equations. One of them extends some recent uniqueness results by Jensen. Some establish the uniqueness of solutions for second-order Isaacs' equations and hence include the uniqueness results for Bellman equations by P.-L Lions. Our comparison results apply even for discontinuous solutions and so Perron's method readily yields the existence of continuous solutions. Reprints. (mjm).