On bounded mild solutions for a class of semilinear stochastic evolution equation driven by stable process
Probability
2024-01-23 v5 Statistics Theory
Statistics Theory
Abstract
We study the existence and uniqueness of Lp-bounded mild solutions for a class ofsemilinear stochastic evolutions equations driven by a real L\'evy processes withoutGaussian component not square integrable for instance the stable process through atruncation method by separating the big and small jumps together with the classicaland simple Banach fixed point theorem ; under local Lipschitz, Holder, linear growthconditions on the coefficients.
Cite
@article{arxiv.2002.08100,
title = {On bounded mild solutions for a class of semilinear stochastic evolution equation driven by stable process},
author = {Solym M. Manou-Abi},
journal= {arXiv preprint arXiv:2002.08100},
year = {2024}
}
Comments
The paper need major revision