Weak nonmild solutions to some SPDEs
نویسندگان
چکیده
منابع مشابه
Weak nonmild solutions to some SPDEs∗
We study the nonlinear stochastic heat equation driven by spacetime white noise in the case that the initial datum u0 is a (possibly signed) measure. In this case, one cannot obtain a mild random-field solution in the usual sense. We prove instead that it is possible to establish the existence and uniqueness of a weak solution with values in a suitable function space. Our approach is based on a...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2010
ISSN: 0019-2082
DOI: 10.1215/ijm/1348505531