61 citations · 341 across the 41 of their papers we have counts for
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Non-uniqueness of admissible weak solutions to the compressible Euler equations with smooth initial data
Elisabetta Chiodaroli, Ondřej Kreml, Václav Mácha +1
We consider the isentropic Euler equations of gas dynamics in the whole two-dimensional space and we prove the existence of a initial datum which admits infinitely many…
On global estimates for systems with -growth in rough domains
M. Bulíček, S. Byun, P. Kaplický +2
We study regularity results for nonlinear parabolic systems of -Laplacian type with inhomogeneous boundary and initial data, with . We show bounds o…
Well posedness of nonlinear parabolic systems beyond duality
Miroslav Bulicek, Jan Burczak, Sebastian Schwarzacher
We develop a methodology for proving well-posedness in optimal regularity spaces for a wide class of nonlinear parabolic initial-boundary value systems, where the standard monotone…
Self-improving property of the fast diffusion equation
Ugo Gianazza, Sebastian Schwarzacher
We show that the gradient of the -power of a solution to a singular parabolic equation of porous medium-type (also known as fast diffusion equation), satisfies a reverse Hölder…