4 citations · 4 across the 3 of their papers we have counts for
5 papers
The fundamental gap for a one-dimensional Schrödinger operator with Robin boundary conditions
Ben Andrews, Julie Clutterbuck, Daniel Hauer
For Schrödinger operators on an interval with either convex or symmetric single-well potentials, and Robin or Neumann boundary conditions, the gap between the two lowest eigenvalue…
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…
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…
New weighted Hardy's inequalities with application to non-existence of global solutions
Daniel Hauer, Abdelaziz Rhandi
In this article, we prove a weighted Hardy inequality for and dimension . If , then we can deduce from our weighted Hardy inequality a Poincaré inequality…