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arXiv · 1712.09178

A Stochastic Generalized Ginzburg-Landau Equation Driven by Jump Noise

Lin Lin·Hongjun Gao
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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.

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Lin Lin, Hongjun Gao. 2017-12-26. A Stochastic Generalized Ginzburg-Landau Equation Driven by Jump Noise. https://doi.org/10.1007/s10959-017-0806-9

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