WHITE NOISE DRIVEN SPDEs WITH TWO REFLECTING WALLS-Reference-Cited by-同舟云学术

WHITE NOISE DRIVEN SPDEs WITH TWO REFLECTING WALLS

Published:2011-12 Issue:04 Volume:14 Page:647-659
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

ZHANG TUSHENG¹²,YANG JUAN²

Affiliation:

1. School of Mathematics and Information Sciences, Henan Normal University, Xinxiang, Henan, P. R. China

2. School of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, England, UK

Abstract

In this paper, we study stochastic partial differential equations with two reflecting smooth walls h1 and h2, driven by space-time white noise with non-constant diffusion coefficients. The existence and uniqueness of the solutions are established.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025711004523

Reference10 articles.

1. Hitting properties of parabolic s.p.d.e.’s with reflection

2. White noise driven SPDEs with reflection

3. Fluctuations for ∇φ interface model on a wall

4. White noise driven quasilinear SPDEs with reflection

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