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Jump type Cahn-Hilliard equations with fractional noises

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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.

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Authors and Affiliations

  1. Department of Mathematics, Xidian University, Xi’an, 710071, China

    Lijun Bo

  2. School of Mathematical Sciences, Nankai University, Tianjin, 300071, China

    Kehua Shi & Yongjin Wang

Authors
  1. Lijun Bo
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  2. Kehua Shi
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  3. Yongjin Wang
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Corresponding author

Correspondence to Kehua Shi.

Additional information

Project supported by the National Natural Science Foundation of China (No. 10871103) and the LPMC at Nankai University.

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Bo, L., Shi, K. & Wang, Y. Jump type Cahn-Hilliard equations with fractional noises. Chin. Ann. Math. Ser. B 29, 663–678 (2008). https://doi.org/10.1007/s11401-007-0293-x

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  • DOI: https://doi.org/10.1007/s11401-007-0293-x

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