On 1d quadratic Klein-Gordon equations with a potential and symmetries

DOI10.1007/s00205-023-01853-0OpenAlexW4322102717MaRDI QIDQ2686988

Katherine Zhiyuan Zhang, Pierre Germain, Fabio Pusateri

Publication date: 1 March 2023

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.13273

zbMATH Keywords

global existenceKlein-Gordon equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) Second-order semilinear hyperbolic equations (35L71)

Related Items (6)

Deterministic dynamics and randomness in PDE. Abstracts from the workshop held May 22--28, 2022 ⋮ Nonlinear waves and dispersive equations. Abstracts from the workshop held June 26 -- July 2, 2022 ⋮ Small energy stabilization for 1D nonlinear Klein Gordon equations ⋮ On the \(1d\) cubic NLS with a non-generic potential ⋮ Asymptotic stability near the soliton for quartic Klein-Gordon equation in 1D ⋮ Soliton dynamics for the 1D quadratic Klein-Gordon equation with symmetry

Cites Work

• Unnamed Item
• The nonlinear Schrödinger equation with a potential
• A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models
• Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities
• Nonexistence of small, odd breathers for a class of nonlinear wave equations
• The 1-dimensional nonlinear Schrödinger equation with a weighted \(L^1\) potential
• Kink dynamics in the $\phi ^4$ model: Asymptotic stability for odd perturbations in the energy space
• Long‐time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space
• Quadratic Klein-Gordon equations with a potential in one dimension
• Long-Time Dispersive Estimates for Perturbations of a Kink Solution of One-Dimensional Cubic Wave Equations

This page was built for publication: On 1d quadratic Klein-Gordon equations with a potential and symmetries