Jump Type Cahn-Hilliard Equations with Fractional Noises

Citation:

Lijun BO,Kehua SHI,Yongjin WANG.Jump Type Cahn-Hilliard Equations with Fractional Noises[J].Chinese Annals of Mathematics B,2008,29(6):663~678
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Authors:

Lijun BO; Kehua SHI;Yongjin WANG

Foundation:

Project supported by the National Natural Science Foundation of China (No. 10871103) and the LPMC at Nankai University.
Abstract: The authors explore a class of jump type Cahn-Hilliard equations with fractional noises. The jump component is described by a (pure jump) L′evy 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, L′evy space-time white noise, Local mild solution

Classification:

60H15, 60G18, 35R60
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