On a mixed Poincaré-Steklov type spectral problem in a Lipschitz domain

DOI10.1134/S1061920806030010zbMath1162.35351MaRDI QIDQ871771

M. S. Agranovich

Publication date: 26 March 2007

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05)

Related Items (19)

The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander's rediscovered manuscript ⋮ Asymptotics of sloshing eigenvalues for a triangular prism ⋮ Sloshing, Steklov and corners: asymptotics of sloshing eigenvalues ⋮ Mixed problems in a Lipschitz domain for strongly elliptic second-order systems ⋮ A shape optimization problem for the first mixed Steklov-Dirichlet eigenvalue ⋮ Sloshing, Steklov and corners: Asymptotics of Steklov eigenvalues for curvilinear polygons ⋮ Uniqueness results in the inverse spectral Steklov problem ⋮ Weyl's law for the Steklov problem on surfaces with rough boundary ⋮ A partially overdetermined problem in domains with partial umbilical boundary in space forms ⋮ Weyl asymptotics for Poincaré-Steklov eigenvalues in a domain with Lipschitz boundary ⋮ Some recent developments on the Steklov eigenvalue problem ⋮ Weyl-type bounds for Steklov eigenvalues ⋮ The Steklov spectrum of surfaces: asymptotics and invariants ⋮ A partially overdetermined problem in a half ball ⋮ Spectral boundary value problems in Lipschitz domains for strongly elliptic systems in Banach spaces \(H_p ^\sigma\) and \(B_p^\sigma \) ⋮ A Cheeger inequality for the Steklov spectrum ⋮ Compact manifolds with fixed boundary and large Steklov eigenvalues ⋮ THE STEKLOV SPECTRUM OF CUBOIDS ⋮ On the first Steklov-Dirichlet eigenvalue for eccentric annuli

Cites Work

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• Estimates of \(s\)-numbers and spectral asymptotics for integral operators of potential type on nonsmooth surfaces
• Asymptotics of the spectrum of variational problems on solutions of elliptic equations
• Spectral asymptotics of variational problems with elliptic constraints in domains with piecewise smooth boundary.
• The inhomogeneous Dirichlet problem in Lipschitz domains
• Mixed problems with non-homogeneous boundary conditions in Lipschitz domains for second-order elliptic equations with a parameter
• Strongly Elliptic Second Order Systems with Spectral Parameter in Transmission Conditions on a Nonclosed Surface

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