Time-space white noise eliminates global solutions in reaction-diffusion equations
We prove that perturbing the reaction-diffusion equation ut = ux x + (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. © 2008 Elsevier B.V....
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| Autores principales: | , |
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2009
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01672789_v238_n2_p209_FernandezBonder http://hdl.handle.net/20.500.12110/paper_01672789_v238_n2_p209_FernandezBonder |
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| Sumario: | We prove that perturbing the reaction-diffusion equation ut = ux x + (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. © 2008 Elsevier B.V. All rights reserved. |
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