Spectral problems in Sobolev-type Banach spaces for strongly elliptic systems in Lipschitz domains

DOI10.1002/mana.201500411zbMath1366.35104OpenAlexW2343160782MaRDI QIDQ2836140

M. S. Agranovich

Publication date: 7 December 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201500411

zbMATH Keywords

completenessroot functionsstrong ellipticityLipschitz domainspaces of Bessel potentialsAbel-Lidskii summabilityoptimal resolvent estimateDirichlet and Neumann spectral problemsPoincaré-Steklov spectral problem

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Second-order elliptic equations (35J15)

Related Items (2)

ON SOLVABILITY OF PARABOLIC FUNCTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES (II) ⋮ ON SOLVABILITY OF PARABOLIC FUNCTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES (II)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional powers of operators corresponding to coercive problems in Lipschitz domains
• \(L_p\)-solvability of parabolic problems with an operator satisfying the Kato conjecture
• Maximal parabolic regularity for divergence operators including mixed boundary conditions
• Eigenvalue asymptotics for potential type operators on Lipschitz surfaces
• Spectral boundary value problems in Lipschitz domains for strongly elliptic systems in Banach spaces \(H_p ^\sigma\) and \(B_p^\sigma \)
• Resolvent estimates in \(W^{-1,p}\) for second order elliptic differential operators in case of mixed boundary conditions
• Elliptic problems in domains with piecewise smooth boundaries
• Regularity results for elliptic equations in Lipschitz domains
• Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem
• On Besov spaces and Sobolev spaces of generalized functions defined on a general region
• Function spaces in Lipschitz domains and on Lipschitz manifolds. Characteristic functions as pointwise multipliers.
• The inhomogeneous Dirichlet problem in Lipschitz domains
• The solution of Kato's conjectures
• On Restrictions and Extensions of the Besov and Triebel-Lizorkin Spaces with Respect to Lipschitz Domains
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains
• Summability of series in the principal vectors of non-self adjoint operators

This page was built for publication: Spectral problems in Sobolev-type Banach spaces for strongly elliptic systems in Lipschitz domains