Hilpert, Martin On uniqueness for evolution problems with hysteresis. (English) Zbl 0701.35009 Mathematical models for phase change problems, Proc. Eur. Workshop, Óbidos/Port. 1988, ISNM, Int. Ser. Numer. Math. 88, 377-388 (1989). [For the entire collection see Zbl 0676.00021.] A comparison result for regular solutions of the parabolic equation \((u+w)_ t+Au=f\) where w(u) is some hysteresis functional is given which implies uniqueness and stability of solutions. Reviewer: G.Boillat Cited in 12 Documents MSC: 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs 35G10 Initial value problems for linear higher-order PDEs 35K25 Higher-order parabolic equations 35A07 Local existence and uniqueness theorems (PDE) (MSC2000) Keywords:comparison result; regular solutions; hysteresis; uniqueness; stability Citations:Zbl 0676.00021 PDF BibTeX XML OpenURL