\(L^2\) asymptotic profiles of solutions to linear damped wave equations

DOI10.1016/J.JDE.2021.06.021zbMath1469.35038arXiv1710.04870OpenAlexW3173505036MaRDI QIDQ2040132

Hironori Michihisa

Publication date: 12 July 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04870

zbMATH Keywords

damped wave equationdiffusion phenomenonwave effecthigher order asymptotic expansions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Wave equation (35L05) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (4)

Asymptotic expansion of solutions to the wave equation with space-dependent damping ⋮ Decay property of solutions to the wave equation with space‐dependent damping, absorbing nonlinearity, and polynomially decaying data ⋮ Admissibility and Observability of Jeffreys Type of Overdamped Second Order Linear Systems ⋮ Critical exponent for the semilinear wave equations with a damping increasing in the far field

Cites Work

• Unnamed Item
• Unnamed Item
• Movement of time-delayed hot spots in Euclidean space
• Damped wave equation with super critical nonlinearities.
• Large time behavior for convection-diffusion equations in \(\mathbb{R}{} ^ N\)
• Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
• On the asymptotic behavior of solutions of semi-linear wave equations
• Nonlinear diffusive phenomena of nonlinear hyperbolic systems
• The \(L^{p}\)--\(L^{q}\) estimates of solutions to one-dimensional damped wave equations and their application to the compressible flow through porous media
• \(L^p\)-\(L^q\) estimates of solutions to the damped wave equation in 3-dimensional space and their application
• Global existence of solutions for semilinear damped wave equations in \(\mathbb R^N\) with noncompactly supported initial data
• Large time behavior and \(L^{p}\)-\(L^{q}\) estimate of solutions of 2-dimensional nonlinear damped wave equations
• Decay estimates of solutions for dissipative wave equations in \(\mathbb R^N\) with lower power nonlinearities
• \(L^p\)-\(L^q\) estimates for damped wave equations and their applications to semi-linear problem
• On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term
• Asymptotics for a nonlinear integral equation with a generalized heat kernel
• Asymptotic profiles of solutions for the isothermal Falk–Konopka system of shape memory alloys with weak damping
• Higher-order expansion of solutions for a damped wave equation
• Selfsimilar profiles in large time asymptotics of solutions to damped wave equations
• Asymptotic Expansions of Solutions of Fractional Diffusion Equations
• The decay of the solutions for the heat equation with a potential
• Damped wave equation with a critical nonlinearity
• On the diffusion phenomenon of quasilinear hyperbolic waves
• Critical exponent for a nonlinear wave equation with damping

This page was built for publication: \(L^2\) asymptotic profiles of solutions to linear damped wave equations