English

Stochastic Reaction-diffusion Equations Driven by Jump Processes

Probability 2018-09-28 v3

Abstract

We establish the existence of weak martingale solutions to a class of second order parabolic stochastic partial differential equations. The equations are driven by multiplicative jump type noise, with a non-Lipschitz multiplicative functional. The drift in the equations contains a dissipative nonlinearity of polynomial growth.

Keywords

Cite

@article{arxiv.1010.5933,
  title  = {Stochastic Reaction-diffusion Equations Driven by Jump Processes},
  author = {Zdzisław Brzeźniak and Erika Hausenblas and Paul Razafimandimby},
  journal= {arXiv preprint arXiv:1010.5933},
  year   = {2018}
}

Comments

See journal reference for teh final published version

R2 v1 2026-06-21T16:35:31.146Z