Remark on Asymptotic Order for the Energy Critical Nonlinear Damped Wave Equation to the Linear Heat Equation via the Strichartz Estimates

DOI10.1007/978-3-030-58215-9_10zbMath1471.35046OpenAlexW3095661862MaRDI QIDQ5011323

Takahisa Inui

Publication date: 27 August 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-58215-9_10

zbMATH Keywords

asymptotic behaviorStrichartz estimatedamped wave equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

Unconditional well-posedness for the energy-critical nonlinear damped wave equation

Cites Work

• Unnamed Item
• On the asymptotic behavior of solutions of semi-linear wave equations
• The \(L^{p}\)--\(L^{q}\) estimates of solutions to one-dimensional damped wave equations and their application to the compressible flow through porous media
• Large time behavior and \(L^{p}\)-\(L^{q}\) estimate of solutions of 2-dimensional nonlinear damped wave equations
• Asymptotic behavior of the energy critical nonlinear wave equation with a special scale invariant damping
• The Strichartz estimates for the damped wave equation and the behavior of solutions for the energy critical nonlinear equation
• \(L^p\)-\(L^q\) estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data
• Asymptotic behavior of solutions for the damped wave equation with slowly decaying data
• Asymptotic behavior of the nonlinear damped Schrödinger equation

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