Stability estimate for an inverse stochastic parabolic problem of determining unknown time-varying boundary
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Zhonghua Liao,
Qi Lü
Abstract:Stochastic parabolic equations are widely used to model many random phenomena in natural sciences, such as the temperature distribution in a noisy medium, the dynamics of a chemical reaction in a noisy environment, or the evolution of the density of bacteria population. In many cases, the equation may involve an unknown moving boundary which could represent a change of phase, a reaction front, or an unknown population. In this paper, we focus on an inverse problem with the goal is to determine an unknown movin… Show more
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