4 citations · 4 across the 3 of their papers we have counts for
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Regularizing effect of homogeneous evolution equations with perturbation
Daniel Hauer
Since the pioneering works by Aronson & Bénilan [C. R. Acad. Sci. Paris Sér., 1979] and Bénilan & Crandall [Johns Hopkins Univ. Press, 1981], it is well-known that first-order evol…
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-…
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…
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…
Fractional powers of monotone operators in Hilbert spaces
Daniel Hauer, Yuhan He, Dehui Liu
In this article, we show that if is a maximal monotone operator on a Hilbert space with in the range of , then for every , the Dirichlet prob…
Regularisation effects of nonlinear semigroups
Thierry Coulhon, Daniel Hauer
One introduces natural and simple methods to deduce --re\-gularisation estimates for of nonlinear semigroups holding uniformly for all time with…