Abstract
The nonlinear and nonlocal PDE
where
has the interesting feature that an associated Rayleigh quotient is nonincreasing in time along solutions. We prove the existence of a weak solution of the corresponding initial value problem which is also unique as a viscosity solution. Moreover, we provide Hölder estimates for viscosity solutions and relate the asymptotic behavior of solutions to the eigenvalue problem for the fractional -Laplacian.
Citation
Ryan Hynd. Erik Lindgren. "Hölder estimates and large time behavior for a nonlocal doubly nonlinear evolution." Anal. PDE 9 (6) 1447 - 1482, 2016. https://doi.org/10.2140/apde.2016.9.1447
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