Progress in nonlinear differential equations and their applications ;
Volume Designation
v. 81
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
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Includes bibliographic references (pages 205-206) and index
CONTENTS NOTE
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Pt.1. Basic solutions -- Pt.2. Shadowing cases -- Pt.3. Solutions of (PDE) defind on R² x T[superscript n]⁻²
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SUMMARY OR ABSTRACT
Text of Note
"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
Text of Note
"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