8 citations · 30 across the 13 of their papers we have counts for
18 papers
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…
Functional calculus on weighted Sobolev spaces for the Laplacian on the half-space
Nick Lindemulder, Emiel Lorist, Floris Roodenburg +1
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 -calculus o…
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…
Pointwise Multiplication by the Characteristic Function of the Half-space on Anisotropic Vector-valued Function Spaces
Nick Lindemulder
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…
A discrete framework for the interpolation of Banach spaces
Nick Lindemulder, Emiel Lorist
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…
Stein interpolation for the real interpolation method
Nick Lindemulder, Emiel Lorist
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 form…
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…
An Intersection Representation for a Class of Anisotropic Vector-valued Function Spaces
N. Lindemulder
The main result of this paper is an intersection representation for a class of anisotropic vector-valued function spaces in an axiomatic setting à la HedbergNetrusov, which inc…
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 UMD property for Musielak--Orlicz spaces
Nick Lindemulder, Mark Veraar, Ivan Yaroslavtsev
In this paper we show that Musielak--Orlicz spaces are UMD spaces under the so-called condition on the generalized Young function and its complemented function. We also prove…
Weighted Estimates for Operator-Valued Fourier Multipliers
Stephan Fackler, Tuomas P. Hytönen, Nick Lindemulder
We establish Littlewood-Paley decompositions for Muckenhoupt weights in the setting of UMD spaces. As a consequence we obtain two-weight variants of the Mikhlin multiplier theorem…
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…
Complex interpolation with Dirichlet boundary conditions on the half line
Nick Lindemulder, Martin Meyries, Mark Veraar
We prove results on complex interpolation of vector-valued Sobolev spaces over the half-line with Dirichlet boundary condition. Motivated by applications in evolution equations, th…
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…
Banach Space-Valued Extensions of Linear Operators on
Nick Lindemulder
Let and be two Banach function spaces, let , and let be a Banach dual pair. In this paper we give conditions for which there…
Difference Norms for Vector-Valued Bessel Potential Spaces with an Application to Pointwise Multipliers
Nick Lindemulder
In this paper we prove a randomized difference norm characterization for Bessel potential spaces with values in UMD Banach spaces. The main ingredients are -boundednes…