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math.AP2019
Continuity of solutions to a nonlinear fractional diffusion equation
Lorenzo Brasco, Erik Lindgren, Martin Strömqvist
We study a parabolic equation for the fractional Laplacian of order , for and . We provide space-time Hölder estimates for weak solutions, with explicit expo…
math.AP2019
On a comparison principle for Trudinger's equation
Erik Lindgren, Peter Lindqvist
We study the comparison principle for non-negative solutions of the equation $$ \frac{\partial\,(|v|^{p-2}v)}{\partial t}\,=\, \textrm{div} (|\nabla v|^{p-2}\nabla v), \quad 1<p<\i…