Asymptotic behavior of solutions for parabolic problems of fractional type and sign-changing measure data
Abstract
We prove a new asymptotic behavior result (with respect to the time variable t) of entropy solutions for fractional parabolic problems, with Dirichlet boundary at infinity, whose model is
where (−∆)spu is the fractional (s, p)-Laplace operator (with ps < N, 0<s<1 and p>2− s), u0 ∈L1 (RN) and μ is a bounded, compactly supported Radon measure whose support is compactly contained in Q := (0, ∞) × RN , N ≥ 2 (not depending on time) which does not charge the sets of the fractional (s, p)-capacity.
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