Title of article
On a stochastic singular diffusion equation in Rd
Author/Authors
Jong Uhn Kim، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2012
Pages
50
From page
2928
To page
2977
Abstract
We establish the existence and uniqueness of a strong solution to the Cauchy problem for a singular diffusion
equation with random noise in Rd with initial data in L2(Rd ) with bounded variation or in H1(Rd ).
We also prove the existence of an invariant measure and extinction of a solution in finite time.
© 2012 Elsevier Inc. All rights reserved.
Keywords
Singular diffusion , Random noise , Cauchy problem , Existence of a strong solution , invariantmeasure , Extinction of a solution , Torus
Journal title
Journal of Functional Analysis
Serial Year
2012
Journal title
Journal of Functional Analysis
Record number
840696
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