Jump type Cahn-Hilliard equations with fractional noises

Abstract

The authors explore a class of jump type Cahn-Hilliard equations with fractional noises. The jump component is described by a (pure jump) Lévy space-time white noise. A fixed point scheme is used to investigate the existence of a unique local mild solution under some appropriate assumptions on coefficients.

Keywords

Cahn-Hilliard equations / Fractional noises / Lévy space-time white noise / Local mild solution

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