Global solutions to the stochastic reaction-diffusion equation with superlinear accretive reaction term and superlinear multiplicative noise term on a bounded spatial domain
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https://hdl.handle.net/2144/46128Version
First author draft
Citation (published version)
M. Salins. "Global solutions to the stochastic reaction-diffusion equation with superlinear accretive reaction term and superlinear multiplicative noise term on a bounded spatial domain" Transactions of the American Mathematical Society, Volume 375, Issue 11, pp.8083-8099. https://doi.org/10.1090/tran/8763Abstract
We describe sufficient conditions on the reaction terms and multiplicative noise terms of a stochastic reaction-diffusion equation that guarantee that the solutions never explode. Both the reaction term and multiplicative noise terms are allowed to grow superlinearly.
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