A remark on the logarithmic decay of the damped wave and Schrödinger equations on a compact Riemannian manifold
DOI10.4171/pm/2107arXiv2302.04498OpenAlexW4317705483MaRDI QIDQ6062713
Publication date: 6 November 2023
Published in: Portugaliae Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.04498
Control/observation systems governed by partial differential equations (93C20) PDEs in connection with optics and electromagnetic theory (35Q60) Heat equation (35K05) NLS equations (nonlinear Schrödinger equations) (35Q55) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Heat and other parabolic equation methods for PDEs on manifolds (58J35) PDEs in connection with control and optimization (35Q93) PDEs on manifolds (35R01) PDEs with measure (35R06)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Polynomial decay rate for the dissipative wave equation
- Non-uniform stability for bounded semi-groups on Banach spaces
- Local energy decay of the wave equation in an exterior problem and without resonance in the neighborhood of the real line
- Stabilization of wave equations on the torus with rough dampings
- Damped wave equations on compact hyperbolic surfaces
- Energy decay for damped wave equations on partially rectangular domains
- Sharp polynomial decay rates for the damped wave equation on the torus
- Exponential decay for the damped wave equation in unbounded domains
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Logarithmic Decay for Linear Damped Hypoelliptic Wave and Schrödinger Equations
- QUANTITATIVE PROPAGATION OF SMALLNESS FOR SOLUTIONS OF ELLIPTIC EQUATIONS
- Propagation of smallness and control for heat equations
This page was built for publication: A remark on the logarithmic decay of the damped wave and Schrödinger equations on a compact Riemannian manifold