Stochastic Landau-Ginzburg equation with white-noise boundary conditions of Robin type

We consider stochastic nonlinear Landau-Ginzburg equations on the half-line with Robin-type white-noise boundary conditions. We establish the existence and uniqueness of a solution to the initial boundary value problem with values in an appropriate weighted space. We are also interested in the regul...

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Bibliographic Details
Published in:Nonlinearity 2019-12, Vol.32 (12), p.4967-4995
Main Author: Kaikina, E I
Format: Article
Language:English
Subjects:
Robin boundary value problem
stochastic Landau-Ginzburg equation
white noise
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Summary:We consider stochastic nonlinear Landau-Ginzburg equations on the half-line with Robin-type white-noise boundary conditions. We establish the existence and uniqueness of a solution to the initial boundary value problem with values in an appropriate weighted space. We are also interested in the regularity behavior of the solution, especially near the origin.
ISSN:0951-7715
1361-6544
DOI:10.1088/1361-6544/ab3f4d