Mathematics – Analysis of PDEs
Scientific paper
2008-02-05
Mathematics
Analysis of PDEs
New results included. To be published in Physica D
Scientific paper
10.1016/j.physd.2008.09.005
We 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.
Bonder Julian Fernandez
Groisman Pablo
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