On the energy decay rate of the fractional wave equation on ℝ with relatively dense damping

DOI10.1090/proc/15100zbMath1447.35056arXiv1904.10946OpenAlexW3013953613MaRDI QIDQ5119229

Walton Green

Publication date: 3 September 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.10946

zbMATH Keywords

exponential decaypolynomial decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (7)

Equivalence between the energy decay of fractional damped Klein–Gordon equations and geometric conditions for damping coefficients ⋮ Controllability of the Schrödinger equation on unbounded domains without geometric control condition ⋮ Exponential decay for the KdV equation on ℝ with new localized dampings ⋮ Nonuniform stability of damped contraction semigroups ⋮ Exponential decay for the linear KdV with a rough localized damping ⋮ Uncertainty principles associated to sets satisfying the geometric control condition ⋮ Observable sets, potentials and Schrödinger equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal polynomial decay of functions and operator semigroups
• Semigroups of linear operators and applications to partial differential equations
• When is the energy of the 1D damped Klein-Gordon equation decaying?
• Some results related to the Logvinenko-Sereda theorem
• Exponential decay for the damped wave equation in unbounded domains
• On the Spectrum of C 0 -Semigroups
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Spectral Theory for Contraction Semigroups on Hilbert Space
• On the energy decay rates for the 1D damped fractional Klein–Gordon equation

This page was built for publication: On the energy decay rate of the fractional wave equation on ℝ with relatively dense damping