Stability for a random evolution equation with Gaussian perturbation |
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Authors: | Fubao Xi |
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Institution: | Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, People's Republic of China |
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Abstract: | In this paper we consider a random evolution equation which is perturbed by Gaussian type noise, and show how to construct its coupled solutions. On the basis of the coupling results, we discuss the asymptotic flatness and the stability in total variation norm for the solutions of the equation. In addition, we also prove the Feller continuity, and the existence and uniqueness of invariant measures of the solutions. |
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Keywords: | Coupling Wasserstein metric Stability Asymptotic flatness Random evolution equation |
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