An Lp-theory for non-divergence form SPDEs driven by Lévy processes

Zhen Qing Chen, Kyeong Hun Kim

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

In this paper we present an Lp-theory for a class of stochastic partial differential equations (SPDEs in abbreviation) driven by Lévy processes. The SPDEs under consideration can have random coefficients that depend both on the time and space variable. Existence and uniqueness of solutions in various Sobolev spaces are obtained. These Sobolev spaces describe the regularity of the solutions of the SPDEs.

Original languageEnglish
Pages (from-to)1381-1411
Number of pages31
JournalForum Mathematicum
Volume26
Issue number5
DOIs
Publication statusPublished - 2014 Sept 1

Bibliographical note

Funding Information:
The research of Zhen-Qing Chen is supported in part by NSF Grants DMS-0906743 and DMR-1035196. The research of Kyeong-Hun Kim was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology(20110015961).

Publisher Copyright:
© de Gruyter 2014.

Keywords

  • L-theory
  • Lévy process
  • Martingale
  • Sobolev space
  • Stochastic partial differential equation

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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