Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Lindemulder, Nick"'
In this paper, we consider the Laplace operator on the half-space with Dirichlet and Neumann boundary conditions. We prove that this operator admits a bounded $H^\infty$-calculus on Sobolev spaces with power weights measuring the distance to the boun
Externí odkaz:
http://arxiv.org/abs/2406.03297
Autor:
Lindemulder, Nick, Sonner, Stefanie
Motivated by models for biofilm growth, we consider Cauchy problems for quasilinear reaction diffusion equations where the diffusion coefficient has a porous medium type degeneracy as well as a singularity. We prove results on the well-posedness and
Externí odkaz:
http://arxiv.org/abs/2312.01863
Autor:
Lindemulder, Nick, Lorist, Emiel
We develop a discrete framework for the interpolation of Banach spaces, which contains the well-known real and complex interpolation methods, but also more recent methods like the Rademacher, $\gamma$- and $\ell^q$-interpolation methods. Our framewor
Externí odkaz:
http://arxiv.org/abs/2105.08373
Autor:
Lindemulder, Nick, Lorist, Emiel
Publikováno v:
Banach J. Math. Anal. 16 (2022), no. 7
We prove a complex formulation of the real interpolation method, showing that the real and complex interpolation methods are not inherently real or complex. Using this complex formulation, we prove Stein interpolation for the real interpolation metho
Externí odkaz:
http://arxiv.org/abs/2105.07702
Autor:
Lindemulder, Nick
We study the pointwise multiplier property of the characteristic function of the half-space on weighted mixed-norm anisotropic vector-valued function spaces of Bessel potential and Triebel-Lizorkin type.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/2105.03087
In this paper we consider traces at initial times for functions with mixed time-space smoothness. Such results are often needed in the theory of evolution equations. Our result extends and unifies many previous results. Our main improvement is that w
Externí odkaz:
http://arxiv.org/abs/2104.05063
Autor:
Hummel, Felix, Lindemulder, Nick
In this paper we study elliptic and parabolic boundary value problems with inhomogeneous boundary conditions in weighted function spaces of Sobolev, Bessel potential, Besov and Triebel-Lizorkin type. As one of the main results, we solve the problem o
Externí odkaz:
http://arxiv.org/abs/1911.04884
Autor:
Lindemulder, Nick
In this paper we consider second order parabolic partial differential equations subject to the Dirichlet boundary condition on smooth domains. We establish weighted $L_{q}$-maximal regularity in weighted Triebel-Lizorkin spaces for such parabolic pro
Externí odkaz:
http://arxiv.org/abs/1812.05462
In this paper we show that Musielak--Orlicz spaces are UMD spaces under the so-called $\Delta_2$ condition on the generalized Young function and its complemented function. We also prove that if the measure space is divisible, then a Musielak--Orlicz
Externí odkaz:
http://arxiv.org/abs/1810.13362