ON A BISTABLE QUASILINEAR PARABOLIC EQUATION: WELL-POSEDNESS AND STATIONARY SOLUTIONS

TitleON A BISTABLE QUASILINEAR PARABOLIC EQUATION: WELL-POSEDNESS AND STATIONARY SOLUTIONS
Publication TypeJournal Article
Year of Publication2011
AuthorsBURNS, MARTIN, GRINFELD, MICHAEL
Secondary TitleCommunications in Applied Analysis
Volume15
Issue2
Start Page251
Pagination264
Date Published04/2011
Type of Workscientific: mathematics
ISSN1083–2564
AMS35B32, 35D30, 35J62, 35K59
Abstract
In this paper we prove existence and uniqueness of variational inequality solutions for a bistable quasilinear parabolic equation arising in the theory of solid-solid phase transitions and discuss its stationary solutions, which can be discontinuous.
URLhttp://www.acadsol.eu/en/articles/15/2/9.pdf
Short TitleWELL-POSEDNESS AND STATIONARY SOLUTIONS
Refereed DesignationRefereed
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