A Stochastic Generalized Ginzburg-Landau Equation Driven by Jump Noise

作者：Lin, Lin; Gao, Hongjun^*

来源：Journal of Theoretical Probability, 2019, 32(1): 460-483.

DOI：10.1007/s10959-017-0806-9

• Stochastic generalized Ginzburg-Landau equation
• Jump noise
• Existence and uniqueness

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 cannot be satisfied in a straightforward way. For this, we utilize the characteristic structure of the nonlinear term and refined analysis to overcome this gap.

• 出版日期2019-3
• 单位南京师范大学