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.
Evolution of stable phases for forward-backward parabolic equations / Mascia, Corrado; Terracina, Andrea; Tesei, Alberto. - In: ADVANCED STUDIES IN PURE MATHEMATICS. - ISSN 0920-1971. - STAMPA. - 47-2:(2007), pp. 451-478.
Evolution of stable phases for forward-backward parabolic equations
TERRACINA, Andrea;TESEI, Alberto
2007
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.File allegati a questo prodotto
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