The Steklov spectrum of surfaces: asymptotics and invariants
From MaRDI portal
Publication:5173364
DOI10.1017/S030500411400036XzbMath1317.58032arXiv1311.5533MaRDI QIDQ5173364
Iosif Polterovich, David A. Sher, Leonid Parnovski, Alexandre Girouard
Publication date: 9 February 2015
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.5533
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Pseudodifferential and Fourier integral operators on manifolds (58J40) Perturbations of PDEs on manifolds; asymptotics (58J37)
Related Items (22)
The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander's rediscovered manuscript ⋮ Asymptotics of sloshing eigenvalues for a triangular prism ⋮ Gluing formula for Casimir energies ⋮ Stability in the inverse Steklov problem on warped product Riemannian manifolds ⋮ A characterization of the disk by eigenfunction of the Steklov eigenvalue ⋮ Sloshing, Steklov and corners: Asymptotics of Steklov eigenvalues for curvilinear polygons ⋮ Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space ⋮ Weyl's law for the Steklov problem on surfaces with rough boundary ⋮ Some recent developments on the Steklov eigenvalue problem ⋮ Applications of possibly hidden symmetry to Steklov and mixed Steklov problems on surfaces ⋮ Pointwise bounds for Steklov eigenfunctions ⋮ Optimization of Steklov-Neumann eigenvalues ⋮ Dirichlet-to-Neumann or Poincaré-Steklov operator on fractals described by \(d\)-sets ⋮ Bounds between Laplace and Steklov eigenvalues on nonnegatively curved manifolds ⋮ Nodal length of Steklov eigenfunctions on real-analytic Riemannian surfaces ⋮ The Steklov and Laplacian spectra of Riemannian manifolds with boundary ⋮ Steklov and Robin isospectral manifolds ⋮ Hypersurfaces with Prescribed Boundary and Small Steklov Eigenvalues ⋮ Compact manifolds with fixed boundary and large Steklov eigenvalues ⋮ Spectral invariants of Dirichlet-to-Neumann operators on surfaces ⋮ Domains without dense Steklov nodal sets ⋮ A Meyer-Vietoris formula for the determinant of the Dirichlet-to-Neumann operator on Riemann surfaces
Cites Work
- Unnamed Item
- Isoperimetric control of the Steklov spectrum
- Resonance sequences and focal decomposition
- On a mixed Poincaré-Steklov type spectral problem in a Lipschitz domain
- An inverse spectral result for the Neumann operator on planar domains
- The spectrum of positive elliptic operators and periodic bicharacteristics
- Spectral asymptotics of the Dirichlet-to-Neumann map on multiply connected domains in ℝ d
- Determining anisotropic real-analytic conductivities by boundary measurements
- Minimal surfaces and eigenvalue problems
This page was built for publication: The Steklov spectrum of surfaces: asymptotics and invariants
