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Preprint . 2021
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Transactions of the American Mathematical Society
Article . 2022 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2021
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Global solutions to the stochastic reaction-diffusion equation with superlinear accretive reaction term and superlinear multiplicative noise term on a bounded spatial domain

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 02 Sep 2022Embargo end date: 01 Jan 2021 United States English Publisher:American Mathematical Society (AMS)Journal:Transactions of the American Mathematical Society, volume 375, pages 8,083-8,099 (issn: 0002-9947, eissn: 1088-6850, Copyright policy )
Authors: Salins, Michael;

doi: 10.1090/tran/8763 , 10.48550/arxiv.2110.10130

arXiv: 2110.10130

handle: 2144/46128

Global solutions to the stochastic reaction-diffusion equation with superlinear accretive reaction term and superlinear multiplicative noise term on a bounded spatial domain

Abstract

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.

Country
United States
Related Organizations
Keywords

Probability (math.PR), Pure mathematics, Applied mathematics, White noise theory, 510, blow up, General mathematics, Stochastic partial differential equations (aspects of stochastic analysis), Reaction-diffusion equations, stochastic reaction-diffuction equation, FOS: Mathematics, PDEs with randomness, stochastic partial differential equations, Mathematics - Probability

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 11
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
11
Top 10%
Average
Top 10%
Green