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math.AP2015
Upper bounds for parabolic equations and the Landau equation
Luis Silvestre
We consider a parabolic equation in nondivergence form, defined in the full space , with a power nonlinearity as the right hand side. We obtain an up…
math.AP2015
An integro-differential equation without continuous solutions
Luis Silvestre, Stanley Snelson
We show an example of a non-symmetric integro-differential equation of order , for , for which Hölder estimates do not hold even though the kernels are comparable to…
math.AP2015★ 5 cited
Hölder gradient estimates for parabolic homogeneous p-Laplacian equations
Tianling Jin, Luis Silvestre
We prove interior Hölder estimates for the spatial gradient of viscosity solutions to the parabolic homogeneous -Laplacian equation \[ u_t=|\nabla u|^{2-p} \mbox{ div} (|\nabla…