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Lévy Flows and associated Stochastic PDEs

Published 28 Jun 2022 in math.PR | (2206.14129v2)

Abstract: In this paper, we first explore certain structural properties of L\'evy flows and use this information to obtain the existence of strong solutions to a class of Stochastic PDEs in the space of tempered distributions, driven by L\'evy noise. The uniqueness of the solutions follows from Monotonicity inequality. These results extend an earlier work Bhar (2017) on the diffusion case.

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Authors (2)

  1. Arvind Kumar Nath 
  2. Suprio Bhar 

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