Concentration of Laplace eigenfunctions and stabilization of weakly damped wave equation
From MaRDI portal
Publication:303766
DOI10.1007/s00220-016-2591-1zbMath1366.58011arXiv1503.02058OpenAlexW1484926103MaRDI QIDQ303766
Publication date: 22 August 2016
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.02058
Related Items
Stabilization of the weakly coupled Schrödinger system, Sharp exponential decay rates for anisotropically damped waves, Nonuniform stability of damped contraction semigroups, Concentration and non-concentration of eigenfunctions of second-order elliptic operators in layered media, Optimal rates of decay for operator semigroups on Hilbert spaces, A note on constructing families of sharp examples for 𝐿^{𝑝} growth of eigenfunctions and quasimodes, Stabilization of the weakly coupled wave-plate system with one internal damping, Damped wave equations on compact hyperbolic surfaces, Well-posedness and long time behavior for a general class of Moore-Gibson-Thompson equations with a memory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Eigenmodes of the damped wave equation and small hyperbolic subsets
- Ergodicité et limite semi-classique. (Ergodicity and semi-classical limit)
- Energy decay for the damped wave equation under a pressure condition
- Restriction of toral eigenfunctions to hypersurfaces and nodal sets
- Delocalization of slowly damped eigenmodes on Anosov manifolds
- Eigenfunction and Bochner Riesz estimates on manifolds with boundary
- Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces
- Applications of cutoff resolvent estimates to the wave equation
- From resolvent estimates to damped waves
- Kakeya-Nikodym averages and \(L^p\)-norms of eigenfunctions
- A model for harmonics on stringed instruments
- Semiclassical non-concentration near hyperbolic orbits
- On Kakeya-Nikodym averages, \(L^p\)-norms and lower bounds for nodal sets of eigenfunctions in higher dimensions
- On multilinear spectral cluster estimates for manifolds with boundary
- Optimal polynomial decay of functions and operator semigroups
- Polynomial decay rate for the dissipative wave equation
- Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds
- Concerning the \(L^ p\) norm of spectral clusters for second-order elliptic operators on compact manifolds
- Uniform distribution of eigenfunctions on compact hyperbolic surfaces
- Eigenfunction localization in the quantized rigid body
- Ergodic properties of eigenfunctions for the Dirichlet problem
- \(L^p\) norms of eigenfunctions in the completely integrable case
- Multilinear estimates for the Laplace spectral projectors on compact manifolds.
- Delocalization of quasimodes on the disk
- Riemannian manifolds with uniformly bounded eigenfunctions
- Riemannian manifolds with maximal eigenfunction growth
- Ergodicity of eigenfunctions for ergodic billiards
- On the small-scale mass concentration of modes
- Imperfect geometric control and overdamping for the damped wave equation
- On the \(L^p\) norm of spectral clusters for compact manifolds with boundary
- Energy decay for damped wave equations on partially rectangular domains
- Eigenfrequencies and expansions for damped wave equations
- Entropy and the localization of eigenfunctions
- Energy decay for a locally undamped wave equation
- Exponential stabilization without geometric control
- \(L^q\) bounds on restrictions of spectral clusters to submanifolds for low regularity metrics
- Sharp polynomial decay rates for the damped wave equation on the torus
- Decay of solutions to nondissipative hyperbolic systems on compact manifolds
- Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes
- Geometric control in the presence of a black box
- SemiclassicalLpEstimates of Quasimodes on Submanifolds
- Bouncing Ball Modes and Quantum Chaos
- Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations
