Differential and Integral Equations

Well posedness for the stochastic Cahn-Hilliard equation driven by Lévy space-time white noise

Boling Guo, Guolian Wang, and Shu Wang

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Abstract

In this paper we study a stochastic Cahn-Hilliard equation driven by Lévy space-time white noise with Neumann boundary conditions. We establish the global existence and uniqueness of a mild solution under some regularity and boundedness on the coefficients.

Article information

Source
Differential Integral Equations Volume 22, Number 5/6 (2009), 543-560.

Dates
First available in Project Euclid: 20 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356019605

Mathematical Reviews number (MathSciNet)
MR2501683

Subjects
Primary: 35L77: Quasilinear higher-order hyperbolic equations
Secondary: 35A08: Fundamental solutions 35B30: Dependence of solutions on initial and boundary data, parameters [See also 37Cxx] 35R60: Partial differential equations with randomness, stochastic partial differential equations [See also 60H15] 60H15: Stochastic partial differential equations [See also 35R60]

Citation

Guo, Boling; Wang, Guolian; Wang, Shu. Well posedness for the stochastic Cahn-Hilliard equation driven by Lévy space-time white noise. Differential Integral Equations 22 (2009), no. 5/6, 543--560. https://projecteuclid.org/euclid.die/1356019605.


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