Extensions of Moser-Bangert theory
Subtitle: locally minimal solutions
By: Paul H. Rabinowitz, Edward W. Stredulinsky
Contributors: Stredulinsky, Edward W. (Edward William), 1953-
Series: Progress in nonlinear differential equations and their applications -- v. 81; Progress in nonlinear differential equations and their applications -- v. 81.
Publisher: Birkhäuser; Springer
Published: 2011
Place of publication: New York
Language: eng
Number of pages: 208
ISBN-13: 9780817681166; 9780817681173
Subjects: Nonlinear Differential equations; Partial Differential equations; Nonlinear theories
Description: "With the goal of establishing a version for partial differential equations (PDEs) of the Aubry-Mather theory of monotone twist maps, Moser and then Bangert studied solutions of their model equations that possessed certain minimality and monotonicity properties. This monograph presents extensions of the Moser-Bangert approach that include solutions of a family of nonlinear elliptic PDEs on R[superscript n] and an Allen-Cahn PDE model of phase transitions."--P. [4] of cover.
Notes: Includes bibliographic references (p. 205-206) and index.
Table of contents: title: Pt.1. Basic solutions; title: Pt.2. Shadowing cases; title: Pt.3. Solutions of (PDE) defind on R² x T[superscript n]⁻².