8 citations · 30 across the 13 of their papers we have counts for
8 papers · 1 filter
Functional calculus on weighted Sobolev spaces for the Laplacian on rough domains
Nick Lindemulder, Emiel Lorist, Floris Roodenburg +1
We study the Laplace operator on domains subject to Dirichlet or Neumann boundary conditions. We show that these operators admit a bounded -functional calculus on weigh…
-boundedness of Poisson operators
Robert Denk, Nick Lindemulder, Jörg Seiler
We investigate the -boundedness of parameter-dependent families of Poisson operators on the half-space in various scales of function spaces. Applications concern…
Cauchy problem for singular-degenerate porous medium type equations: well-posedness and Sobolev regularity
Nick Lindemulder, Stefanie Sonner
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…
On the trace embedding and its applications to evolution equations
Antonio Agresti, Nick Lindemulder, Mark Veraar
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 ext…
Elliptic and Parabolic Boundary Value Problems in Weighted Function Spaces
Felix Hummel, Nick Lindemulder
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 Tri…
Second Order Operators Subject to Dirichlet Boundary Conditions in Weighted Triebel-Lizorkin Spaces: Parabolic Problems
Nick Lindemulder
In this paper we consider second order parabolic partial differential equations subject to the Dirichlet boundary condition on smooth domains. We establish weighted -maximal…
The heat equation with rough boundary conditions and holomorphic functional calculus
Nick Lindemulder, Mark Veraar
In this paper we consider the Laplace operator with Dirichlet boundary conditions on a smooth domain. We prove that it has a bounded -calculus on weighted -spaces fo…
Maximal Regularity with Weights for Parabolic Problems with Inhomogeneous Boundary Conditions
Nick Lindemulder
In this paper we establish weighted --maximal regularity for linear vector-valued parabolic initial-boundary value problems with inhomogeneous boundary conditions of…