Journal
JOURNAL OF EVOLUTION EQUATIONS
Volume 19, Issue 2, Pages 435-462Publisher
SPRINGER BASEL AG
DOI: 10.1007/s00028-019-00482-z
Keywords
Fractional diffusion; Parabolic equations; Decay of solutions in time with respect to Lebesgue norms
Categories
Funding
- Australian Research Council Discovery Project Grant N.E.W. Nonlocal Equations at Work
- G.N.A.M.P.A. Project Nonlocal and degenerate problems in the Euclidean space
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We consider an evolution equation whose time-diffusion is of fractional type, and we provide decay estimates in time for the Ls-norm of the solutions in a bounded domain. The spatial operator that we take into account is very general and comprises classical local and nonlocal diffusion equations.
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