
David HruškaLeipzig University · Institute of Mathematics
David Hruška
Master of Science
About
4
Publications
171
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4
Citations
Introduction
calculus of variations, PDEs, free boundary problems, regularity theory, real functions
Education
October 2017 - September 2019
October 2014 - June 2017
Publications
Publications (4)
We study a nonlinear evolutionary partial differential equation that can be viewed as a generalization of the heat equation where the temperature gradient is a priori bounded but the heat flux provides merely \(L^1\)-coercivity. Applying higher differentiability techniques in space and time, choosing a special weighted norm (equivalent to the Eucli...
We study a nonlinear evolutionary partial differential equation that can be viewed as a generalization of the heat equation where the temperature gradient is a~priori bounded but the heat flux provides merely \mbox{$L^1$-coercivity}. Applying higher differentiability techniques in space and time, choosing a special weighted norm (equivalent to the...
We prove a stronger version of a conjecture stated in a paper from 2017 by J. M. Ash and S. Catoiu concerning relations between various notions of the Lipschitz property and differentiability in the Euclidean plane. We also provide an improved version of the main result of that paper.