A Stochastic Generalized Ginzburg-Landau Equation Driven by Jump Noise
Analysis of PDEs
2023-01-10 v1
Abstract
This paper is concerned with the stochastic generalized Ginzburg-Landau equation driven by a multiplicative noise of jump type. By a prior estimate, weak convergence and monotonicity technique, we prove the existence and uniqueness of the solution of an initial-boundary value problem with homogeneous Dirichlet boundary condition. However, for the generalized Ginzburg-Landau equation, such a locally monotonic condition of the nonlinear term can not be satisfied in a straight way. For this, we utilize the characteristic structure of nonlinear term and refined analysis to overcome this gap.
Keywords
Cite
@article{arxiv.1712.09178,
title = {A Stochastic Generalized Ginzburg-Landau Equation Driven by Jump Noise},
author = {Lin Lin and Hongjun Gao},
journal= {arXiv preprint arXiv:1712.09178},
year = {2023}
}