Asymptotic decay for defocusing semilinear wave equations in \(\mathbb{R}^{1+1} \)

DOI10.1007/S40818-021-00096-0zbMath1469.35044arXiv2003.12264OpenAlexW3146040658MaRDI QIDQ2040262

Shiwu Yang, Dongyi Wei

Publication date: 12 July 2021

Published in: Annals of PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.12264

zbMATH Keywords

weighted Gagliardo-Nirenberg inequalityweighted energy spaceintegrated local energy decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order semilinear hyperbolic equations (35L71)

Related Items (2)

Global existence and scattering behavior for one dimensional wave maps into Riemannian manifolds ⋮ Energy distribution of solutions to defocusing semi-linear wave equation in two dimensional space

Cites Work

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• Decay of solutions of nonlinear wave equations in three space dimensions
• Time decay for nonlinear wave equations in two space dimensions
• Asymptotic decay for a one-dimensional nonlinear wave equation
• Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2
• Global Solution for Massive Maxwell‐Klein‐Gordon Equations
• Time decay for the nonlinear Klein-Gordon equation
• The limiting amplitude principle

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