Abstract
We consider nonlinear parabolic SPDEs of the form ! tu = ! (! ! )! /2u + b(u )+ (u )˙ w ,w here ˙ w denotes space-time white noise. The functions b and are both locally Lipschitz continuous. Under some suitable conditions on the parameters of this SPDE, we show that the above equation has no random-field solution. This complements recent works of Khoshnevisan and his coauthors.
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