# American Institute of Mathematical Sciences

April  2018, 38(4): 1983-2005. doi: 10.3934/dcds.2018080

## Large deviations for stochastic heat equations with memory driven by Lévy-type noise

 1 Department of Mathematics, King's College London, London WC2R 2LS, United Kingdom 2 School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China

* Corresponding author

Received  January 2017 Revised  October 2017 Published  January 2018

Fund Project: The second author acknowledges funding by K. C. Wong Foundation for a 1-year fellowship at King's College London

For a heat equation with memory driven by a Lévy-type noise we establish the existence of a unique solution. The main part of the article focuses on the Freidlin-Wentzell large deviation principle of the solutions of heat equation with memory driven by a Lévy-type noise. For this purpose, we exploit the recently introduced weak convergence approach.

Citation: Markus Riedle, Jianliang Zhai. Large deviations for stochastic heat equations with memory driven by Lévy-type noise. Discrete & Continuous Dynamical Systems - A, 2018, 38 (4) : 1983-2005. doi: 10.3934/dcds.2018080
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