On the numerical range of second-order elliptic operators with mixed boundary conditions in \(L^p\)
DOI10.1007/s00028-020-00642-6zbMath1487.35201arXiv2005.05647OpenAlexW3093960432WikidataQ122658079 ScholiaQ122658079MaRDI QIDQ2062844
Joachim Rehberg, Ralph Chill, Hannes Meinlschmidt
Publication date: 3 January 2022
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.05647
numerical rangemixed boundary conditionsresolvent estimateselliptic operatornonsmooth domainsdynamic boundary conditionsultracontractivityintrinsic characterisation
Smoothness and regularity of solutions to PDEs (35B65) Numerical range, numerical radius (47A12) Second-order elliptic equations (35J15)
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Cites Work
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- A note on function spaces in rough domains
- Parabolic equations with dynamical boundary conditions and source terms on interfaces
- Characterizations of Sobolev functions that vanish on a part of the boundary
- Semigroups of linear operators and applications to partial differential equations
- Equations d'évolution linéaires associées à des semi-groupes de contractions dans les espaces \(L^ p\). (Evolution equations associated to contraction semigroups in \(L^ p\) spaces)
- \(L_p\)-spectral properties of the Neumann Laplacian on horns, comets and stars
- Convexity of power functions and bilinear embedding for divergence-form operators with complex coefficients
- Extending Sobolev functions with partially vanishing traces from locally \(({\epsilon},{\delta})\)-domains and applications to mixed boundary problems
- Hardy's inequality for functions vanishing on a part of the boundary
- Sobolev embeddings, extensions and measure density condition
- The sector of analyticity of nonsymmetric submarkovian semigroups generated by elliptic operators
- Criterion for the \(L^p\)-dissipativity of second order differential operators with complex coefficients
- Moving Interfaces and Quasilinear Parabolic Evolution Equations
- The Kato square root problem on submanifolds
- On traces of Sobolev functions on the boundary of extension domains
- Extensions of Hardy spaces and their use in analysis
- ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
- A T(b) theorem with remarks on analytic capacity and the Cauchy integral
- A priori estimates for solutions to elliptic equations on non-smooth domains
- Imbedding theorems for Sobolev spaces on domains with peak and on Hölder domains
- THE SECTOR OF ANALYTICITY OF THE ORNSTEIN–UHLENBECK SEMIGROUP ON $L^{p}$ SPACES WITH RESPECT TO INVARIANT MEASURE
- Sobolev Spaces
- Extension operators on Sobolev spaces with decreasing integrability
- Analytic semigroups and optimal regularity in parabolic problems
- The \(H^\infty\)-calculus and sums of closed operators
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