Author:
Anh Cung The,Thanh Nguyen Van
Abstract
AbstractWe investigate the effect of Ito noise on the stability of stationary solutions to a class of semilinear degenerate parabolic equations with the nonlinearity satisfying an arbitrary polynomial growth condition. We will show that an Ito noise of sufficient intensity will stabilize the unstable stationary solution.
Subject
Statistics and Probability,Analysis
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