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math.AP2019
Note on the existence theory for pseudo-monotone evolution problems
Alex Kaltenbach, Michael Růžička
In this note we develop a framework which allows to prove an existence result for non-linear evolution problems involving time-dependent, pseudo-monotone operators. This abstract e…
math.AP2019
Solenoidal difference quotients and their application to the regularity theory of the -Stokes system
Martin Křepela, Michael Růžička
We prove existence of a solution to the divergence equation satisfying a new Bogovski-type estimate for the difference quotients. This enables us to give an alternative proof of th…