Asymptotic first exit times of the Chafee-Infante equation with small heavy-tailed L\'evy noise

Arnaud Debussche (IRMAR); Michael H\"ogele; Peter Imkeller

arxiv: 1101.1436 · v1 · pith:JMVTQKT7new · submitted 2011-01-07 · 🧮 math.AP · math.PR

Asymptotic first exit times of the Chafee-Infante equation with small heavy-tailed L\'evy noise

Arnaud Debussche (IRMAR) , Michael H\"ogele , Peter Imkeller This is my paper

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keywords chafee-infanteequationexitfirstnoisesmalltimesasymptotic

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We study the first exit times form a reduced domain of attraction of a stable fixed of the Chafee-Infante equation when perturbed by a heavy tailed L\'evy noise with small intensity.

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Asymptotic first exit times of the Chafee-Infante equation with small heavy-tailed L\'evy noise

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