Stochastic heat equations with logarithmic nonlinearity
نویسندگان
چکیده
In this paper, we establish the global existence and uniqueness of solutions to stochastic heat equations with logarithmic nonlinearity driven by Brownian motion on a bounded domain D in setting L2(D) space. The result is valid for all initial values contrast existing literature. Sobolev inequality plays an important role.
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2022
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2021.12.033