Time--space white noise eliminates global solutions in reaction diffusion equations

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dc.creatorBonder, Julián Fernández
dc.creatorGroisman, Pablo
dc.date2008-02-05
dc.date2008-11-10
dc.date.accessioned2026-07-07T10:16:43Z
dc.date.available2026-07-07T10:16:43Z
dc.descriptionWe prove that perturbing the reaction--diffusion equation $u_t=u_{xx} + (u_+)^p$ ($p>1$), with time--space white noise produces that solutions explodes with probability one for every initial datum, opposite to the deterministic model where a positive stationary solution exists.
dc.descriptionNew results included. To be published in Physica D
dc.identifierhttps://arxiv.org/abs/0802.0633
dc.identifierhttp://arxiv.org/abs/0802.0633
dc.identifierdoi:10.1016/j.physd.2008.09.005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173603
dc.subjectAnalysis of PDEs
dc.subjectProbability
dc.subject60H15, 35R60, 35B60
dc.titleTime--space white noise eliminates global solutions in reaction diffusion equations
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