Optimal existence and uniqueness theory for the fractional heat equation
نویسندگان
چکیده
منابع مشابه
Optimal Existence and Uniqueness Theory for the Fractional Heat Equation
We construct a theory of existence, uniqueness and regularity of solutions for the fractional heat equation ∂tu + (−∆) s u = 0, 0 < s < 1, posed in the whole space R with data in a class of locally bounded Radon measures that are allowed to grow at infinity with an optimal growth rate. We consider a class of nonnegative weak solutions and prove that there is an equivalence between nonnegative d...
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ژورنال
عنوان ژورنال: Nonlinear Analysis: Theory, Methods & Applications
سال: 2017
ISSN: 0362-546X
DOI: 10.1016/j.na.2016.08.027