Evolution of stable phases in forward-backward parabolic equations
Corrado Mascia, Andrea Terracina, Alberto Tesei · Advanced studies in pure mathematics · 2019
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.