6 citations · 32 across the 16 of their papers we have counts for
17 papers · 1 filter
A multi-point maximum principle to prove the global Harnack inequality for the doubly nonlinear heat equation
Ben Andrews, Daniel Hauer, Jessica Slegers
This work aims to present a new proof of the global pointwise Harnack inequality satisfied by positive viscosity solutions of the doubly nonlinear heat equation on .…
Gradient rearrangement estimates for singular and degenerate anisotropic -Laplace equations
Lu Chen, Daniel Hauer, Yabo Yang
In this paper, we prove global pointwise estimates on the decreasing rearrangement \(u^{\ast}\) and \([H(\nabla u)]^{\ast}\) of SOLAs \(u\) of an elliptic Poisson equation driven b…
Characterization of solutions of a generalized Helmholtz problem
Daniel Hauer, David Lee
In this article, we classify all distributional solutions of where is a non-constant Bernstein function. Specifically, we show that the Fourier transform of …
The Barenblatt solution of an evolution problem governed by a doubly nonlinear nonlocal operator
Timothy A. Collier, Daniel Hauer
In this article, we prove existence and uniqueness of the Barenblatt solution of the evolution equation on the whole Euclidean space where the principle part is the nonlocal fracti…
Density of the domain of doubly nonlinear operators in
Timothy Collier, Daniel Hauer
The aim of this paper is to provide sufficient conditions implying that the effective domain of an -accretive operator in is dense in . Here, refers…
A doubly nonlinear evolution problem involving the fractional p-Laplacian
Timthy Collier, Daniel Hauer
In this article, we focus on a doubly nonlinear nonlocal parabolic initial boundary value problem driven by the fractional -Laplacian equipped with homogeneous Dirichlet boundar…
Functional Calculus via the extension technique: a first hitting time approach
Daniel Hauer, David Lee
In this article, we present a solution to the problem: "Which type of linear operators can be realized by the Dirichlet-to-Neumann operator associated with the operator $-Δ-a(z)\fr…
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…
Non-concavity of Robin eigenfunctions
Ben Andrews, Julie Clutterbuck, Daniel Hauer
On a convex bounded Euclidean domain, the ground state for the Laplacian with Neumann boundary conditions is a constant, while the Dirichlet ground state is log-concave. The Robin…
Kurdyka-Lojasiewicz-Simon inequality for gradient flows in metric spaces
Daniel Hauer, José Mazon
This paper is dedicated to providing new tools and methods for studying the trend to equilibrium of gradient flows in metric spaces in the entropy and metric sense, to establish de…
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…
A Liouville theorem for -harmonic functions on exterior domains
E. N. Dancer, Daniel Daners, Daniel Hauer
We prove Liouville type theorems for -harmonic functions on exterior domains of the -dimensional Euclidean space, where and . We show that every positiv…
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…