Journal of Applied Analysis
Vol. 3, No. 1, pp. 129-138 (2003)
Stationary solutions for heat equation perturbed by general additive noise
A. Chojnowska-MichalikInstitute of Mathematics
ul. S. Banacha 22
90-238 Lodz, Poland
Abstract: Using the semigroup approach we prove that the heat equation on a bounded domain in $R^d$ driven by general noise has a stationary solution iff a certain functional of the jump part of the noise has a finite expectation.
Keywords: Stochastic evolution equations, stationary distribution law, process with independent increments
Classification (MSC2000): 60H15, 60J30
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Electronic version published on: 12 Jun 2003. This page was last modified: 12 Jun 2003.