The first exit problem of reaction-diffusion equations for small multiplicative L\'evy noise
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Publication:5742623
zbMath1423.60100arXiv1706.07745MaRDI QIDQ5742623
Publication date: 15 May 2019
Full work available at URL: https://arxiv.org/abs/1706.07745
metastabilitynonlinear reaction-diffusion equationfirst exit timesmultiplicative Lévy noisesmall noise asymptoticsfirst exit location\(\alpha\)-stable Lévy process in Hilbert spacemultiplicative stochastic chafee-infante equationregularly varying noisestochastic heat equation with multiplicative \(\alpha\)-stable noise
Processes with independent increments; Lévy processes (60G51) Heat equation (35K05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Stable stochastic processes (60G52) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)
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Cutoff thermalization for Ornstein-Uhlenbeck systems with small Lévy noise in the Wasserstein distance, Metastability and exit problems for systems of stochastic reaction-diffusion equations
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