Elliptic and parabolic boundary value problems in weighted function spaces
DOI10.1007/s11118-021-09929-wzbMath1502.35059arXiv1911.04884OpenAlexW3186503153MaRDI QIDQ2099176
Nick Lindemulder, Felix Hummel
Publication date: 23 November 2022
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.04884
Sobolev spacessmoothingTriebel-Lizorkin spacesinhomogeneous boundary conditionsmaximal regularityUMD spacesBessel potentialPoisson operatormixed-normLopatinskii-Shapiro
Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of vector- and operator-valued functions (46E40) Pseudodifferential operators (47G30)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- General parabolic mixed order systems in \(L_p\) and applications
- On quasilinear parabolic evolution equations in weighted \(L_{p}\)-spaces
- Traces and embeddings of anisotropic function spaces
- Characterization of a class of embeddings for function spaces with Muckenhoupt weights
- Weighted Besov and Triebel spaces: Interpolation by the real method
- Entropy numbers of embeddings of function spaces with Muckenhoupt weights. III: Some limiting cases
- Addendum to the paper ``On quasilinear parabolic evolution equations in weighted \(L_p\)-spaces II
- Higher-order elliptic and parabolic equations with VMO assumptions and general boundary conditions
- On critical spaces for the Navier-Stokes equations
- Complex interpolation of weighted Besov and Lizorkin-Triebel spaces
- On quasilinear parabolic evolution equations in weighted \(L_p\)-spaces. II
- Weighted estimates for operator-valued Fourier multipliers
- Singular Green operators and their spectral asymptotics
- Perturbation and interpolation theorems for the \(H^\infty\)-calculus with applications to differential operators
- Maximal \(L^{p}\)-regularity for parabolic and elliptic equations on the line
- Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights. I
- Über maximale \(L^ p\)-Regularität für Differentialgleichungen in Banach- und Hilbert-Räumen. (On maximal \(L^ p\)-regularity for differential equations in Banach and Hilbert spaces)
- Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces
- A global calculus of parameter-dependent pseudodifferential boundary problems in \(L_ p\) Sobolev spaces
- Weighted \(L^q\)-theory for the Stokes resolvent in exterior domains
- An \(L_{p}\)-estimate for the stochastic heat equation on an angular domain in \(\mathbb {R}^2\)
- Critical spaces for quasilinear parabolic evolution equations and applications
- On the closedness of the sum of two closed operators
- Maximal regularity for evolution equations in weighted \(L_p\)-spaces
- Remark on the characterization of weighted Besov spaces via temperatures
- Multidimensional reaction-diffusion equations with white noise boundary perturbations
- Functional calculus of pseudodifferential boundary problems.
- Maximal regularity with weights for parabolic problems with inhomogeneous boundary conditions
- Boundary value problems of elliptic and parabolic type with boundary data of negative regularity
- The heat equation with rough boundary conditions and holomorphic functional calculus
- Pointwise multiplication on vector-valued function spaces with power weights
- On the regularity of the stochastic heat equation on polygonal domains in \(\mathbb{R}^2\)
- Singular integral operators with operator-valued kernels, and extrapolation of maximal regularity into rearrangement invariant Banach function spaces
- Second order PDEs with Dirichlet white noise boundary conditions
- Elliptic and parabolic equations with measurable coefficients in weighted Sobolev spaces
- Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data
- Real interpolation with weighted rearrangement invariant Banach function spaces
- Comportement d'un opérateur pseudo-différentiel sur une variété à bord. I: La propriété de transmission, II: Pseudo-noyaux de Poisson
- Boundary problems for pseudo-differential operators
- An intersection representation for a class of anisotropic vector-valued function spaces
- The Heat Equation inLq((0,T),Lp)-Spaces with Weights
- Inhomogeneous Boundary Value Problems in Spaces of Higher Regularity
- Moving Interfaces and Quasilinear Parabolic Evolution Equations
- Analysis in Banach Spaces
- Maximal regularity with temporal weights for parabolic problems with inhomogeneous boundary conditions
- Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights, II. General weights
- Pseudo-differential boundary problems in Lp, spaces
- Sharp embedding results for spaces of smooth functions with power weights
- Modern Fourier Analysis
- Lq(Lp) -THEORY OF PARABOLIC PDEs WITH VARIABLE COEFFICIENTS
- Atomic decompositions of function spaces with Muckenhoupt weights, and some relation to fractal analysis
- An LQ Problem for the Heat Equation on the Halfline with Dirichlet Boundary Control and Noise
- On Restrictions and Extensions of the Besov and Triebel-Lizorkin Spaces with Respect to Lipschitz Domains
- Weighted sobolev spaces and laplace's equation and the heat equations in a half space
- Elliptic Boundary Problems and the Boutet de Monvel Calculus in Besov and Triebel-Lizorkin Spaces.
- ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
- $H^∞$ functional calculus in real interpolation spaces
- Analysis in Banach Spaces
- Linear and Quasilinear Parabolic Problems
- Complex interpolation with Dirichlet boundary conditions on the half line
- Geometry and stability of bubbles with gravity
- STABILITY FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS WITH DIRICHLET WHITE-NOISE BOUNDARY CONDITIONS
- Atomic representations in function spaces and applications to pointwise multipliers and diffeomorphisms, a new approach
- Extension of C ∞ Functions Defined in a Half Space
- On the trace problem for Lizorkin–Triebel spaces with mixed norms
- The Poisson problem in weighted Sobolev spaces on Lipschitz domains
- ELLIPTIC EQUATIONS IN CONVOLUTION IN A BOUNDED DOMAIN AND THEIR APPLICATIONS
- Maximal regularity in continuous interpolation spaces and quasilinear parabolic equations
- Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
- The \(H^\infty\)-calculus and sums of closed operators
- Maximal regularity in \(L^p\) spaces for an abstract Cauchy problem
This page was built for publication: Elliptic and parabolic boundary value problems in weighted function spaces