Existence of weak solutions to SPDEs with fractional Laplacian and non-Lipschitz coefficients

Shohei Nakajima*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We prove existence of solutions and its properties for a one-dimensional stochastic partial differential equations with fractional Laplacian and non-Lipschitz coefficients. The method of proof is eatablished by Kolmogorov’s continuity theorem and tightness arguments.

Original languageEnglish
JournalStochastics and Partial Differential Equations: Analysis and Computations
DOIs
Publication statusAccepted/In press - 2021

Keywords

  • Fractional Laplacian
  • Non-Lipschitz coefficients
  • Polynomial decay

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Existence of weak solutions to SPDEs with fractional Laplacian and non-Lipschitz coefficients'. Together they form a unique fingerprint.

Cite this