Well-posedness and stationary solutions

Grinfeld, Michael and Burns, Martin (2011) Well-posedness and stationary solutions. Communications in Applied Analysis, 15. pp. 251-264. ISSN 1083-2564 (http://www.mathstat.strath.ac.uk/downloads/publica...)

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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.