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math.AP2019
The Dirichlet-to-Neumann operator associated with the -Laplace operator and evolution problems
Daniel Hauer, José M. Mazón
We present first results on the Dirichlet-to-Neumann operator associated with the -Laplace operator in . In particular, we show that this operator can be realized as a sub-…
math.AP2019
Maximal -regularity in nonlinear gradient systems and perturbations of sublinear growth
Wolfgang Arendt, Daniel Hauer
The nonlinear semigroup generated by the subdifferential of a convex lower semicontinuous function has a smoothing effect, discovered by H. Brézis, which implies maximal regula…
math.AP2019
Regularizing effect of homogeneous evolution equations: case homogeneous order zero
Daniel Hauer, Jose M. Mazon
In this paper, we develop a functional analytical theory for establishing that mild solutions of first-order Cauchy problems involving homogeneous operators of order zero are stron…