Abstract
We review some recent work concerning an ill-posed forward–backward parabolic equation, which arises e.g. in the theory of phase transitions. Some new results are also presented, concerning local existence and uniqueness of solutions within a certain class of physical interest, and a hint of their proofs is given.
Information
Published: 1 January 2007
First available in Project Euclid: 16 December 2018
zbMATH: 1141.35393
MathSciNet: MR2387251
Digital Object Identifier: 10.2969/aspm/04720451
Rights: Copyright © 2007 Mathematical Society of Japan