Abstract
We show decay bounds of the form
for integrable and bounded solutions to the nonlocal evolution equation
Here is a nonnegative and even function, and verifies for all . We remark that is not assumed to be homogeneous. The function and the exponent depend on via adequate hypotheses, while is a nonnegative kernel satisfying suitable assumptions.
Citation
Uriel Kaufmann. Julio D. Rossi. Raul Vidal. "Decay bounds for nonlocal evolution equations in Orlicz spaces." Ann. Funct. Anal. 7 (2) 261 - 269, May 2016. https://doi.org/10.1215/20088752-3475634
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