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math.AP2024
Moving gradient singularity for the evolutionary -Laplace equation
Erik Lindgren, Jin Takahashi
We consider the evolutionary -Laplace equation in . For , we construct a solution with a moving gradient singularity in the sense that $|\nabla u(x,t)|\to…
math.AP2024
Higher Hölder regularity for a subquadratic nonlocal parabolic equation
Prashanta Garain, Erik Lindgren, Alireza Tavakoli
In this paper, we are concerned with the Hölder regularity for solutions of the nonlocal evolutionary equation Here, is the fractional…