Boundary value problems with rough boundary data
DOI10.1016/j.jde.2023.04.001zbMath1518.35290arXiv2211.13540OpenAlexW4366256659MaRDI QIDQ6155308
Sophia Rau, Joerg Seiler, David Ploß, Robert Denk
Publication date: 12 June 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.13540
generalized tracerough boundary dataisotropic Sobolev spacehigher-order parameter-elliptic equations
Boundary value problems for higher-order elliptic equations (35J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Maximal regularity and asymptotic behavior of solutions for the Cahn-Hilliard equation with dynamic boundary conditions
- Maximal \(L_p\)-regularity of parabolic problems with boundary dynamics of relaxation type
- Morrey and Campanato meet Besov, Lizorkin and Triebel
- Theory of function spaces
- Inhomogeneous symbols, the Newton polygon, and maximal \(L^p\)-regularity
- A global calculus of parameter-dependent pseudodifferential boundary problems in \(L_ p\) Sobolev spaces
- Parameter-elliptic and parabolic pseudodifferential boundary problems in global \(L_ p\) Sobolev spaces
- The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions
- Function spaces with dominating mixed smoothness
- Functional calculus of pseudodifferential boundary problems.
- Parabolic and elliptic problems with general Wentzell boundary condition on Lipschitz domains
- Sample paths of white noise in spaces with dominating mixed smoothness
- Wavelet analysis of the Besov regularity of Lévy white noise
- Boundary value problems of elliptic and parabolic type with boundary data of negative regularity
- Elliptic and parabolic boundary value problems in weighted function spaces
- Second order PDEs with Dirichlet white noise boundary conditions
- Qualitative behavior of a class of stochastic parabolic PDEs with dynamical boundary conditions
- Analyticity of semigroups generated by operators with generalized Wentzell boundary conditions
- The Bi-Laplacian with Wentzell boundary conditions on Lipschitz domains
- Fast Diffusion Limit for Reaction-Diffusion Systems with Stochastic Neumann Boundary Conditions
- Analysis in Banach Spaces
- Stochastic Equations with Boundary Noise
- Regularity of Gaussian white noise on the d-dimensional torus
- Theory of Sobolev Multipliers
- Formulae for high derivatives of composite functions
- Linear and Quasilinear Parabolic Problems
- On the trace problem for Lizorkin–Triebel spaces with mixed norms
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