A new class of parabolic problems connected with Newton's polygon
R. Denk, L. Volevich
Abstract. A new class of boundary value problems for parabolic operators is introduced. We discuss some linearized free boundary problems not satisfying the classical parabolicity condition. It is shown that they belong to this class and by means of the Newton polygon method the nontrivial two-sided estimates of these problems are found.
Discrete Cont. Dyn. Systems Suppl. 2007, 294-303.
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