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math.AP2015
Global a priori bounds for weak solutions to quasilinear parabolic equations with nonstandard growth
Patrick Winkert, Rico Zacher
In this paper we study a rather wide class of quasilinear parabolic problems with nonlinear boundary condition and nonstandard growth terms. It includes the important case of equat…
math.AP2015
Representation of solutions and large-time behavior for fully nonlocal diffusion equations
Jukka Kemppainen, Juhana Siljander, Rico Zacher
We study the Cauchy problem for a nonlocal heat equation, which is of fractional order both in space and time. We prove four main theorems: (i) a representation formula for classic…