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Local existence for the stochastic Euler equations with Lévy noise

Article type: Research Article

Authors: Kukavica, Igor; * | Xu, Fanhui

Affiliations: Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA. E-mails: [email protected], [email protected]

Correspondence: [*] Corresponding author. E-mail: [email protected].

Abstract: We consider the stochastic Euler equations driven by the Lévy noise. We construct a unique local pathwise solution in the Sobolev space Ws,p(Rd) where s>d/p+1.

Keywords: Stochastic Euler equations, Lévy noise, existence

DOI: 10.3233/ASY-181505

Journal: Asymptotic Analysis, vol. 113, no. 1-2, pp. 1-27, 2019

Published: 7 May 2019
Price: EUR 27.50
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