Jump Type Cahn-Hilliard Equations with Fractional Noises

Jump Type Cahn-Hilliard Equations with Fractional Noises

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 coeff...

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Veröffentlicht in:Chinese annals of mathematics. Serie B 2008-11, Vol.29 (6), p.663-678
Hauptverfasser: Bo, Lijun, Shi, Kehua, Wang, Yongjin
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Cahn-Hilliard方程
Mathematics
Mathematics and Statistics
偏微分方程
白噪音
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Zusammenfassung: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.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-007-0293-x