CROSS-CONSTRAINED VARIATIONAL PROBLEM AND THE NON-LINEAR KLEIN–GORDON EQUATIONS

DOI10.1017/S0017089508004345zbMath1154.35003OpenAlexW2134905995MaRDI QIDQ3529462

Jian Zhang, Zai-Hui Gan

Publication date: 13 October 2008

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089508004345

zbMATH Keywords

Klein-Gordon equationglobal existencevariational methodblowup criteria

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (2)

Focusing NLKG equation with singular potential ⋮ Breaking symmetry in focusing nonlinear Klein-Gordon equations with potential

Cites Work

• The global Cauchy problem for the NLS and NLKG with small rough data
• Low energy scttering for nonlinear Klein-Gordon equations
• Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
• Nonlinear scattering theory at low energy
• On a class of nonlinear Schrödinger equations
• Saddle points and instability of nonlinear hyperbolic equations
• The Cauchy problem for nonlinear Klein-Gordon equations
• On concentration of positive bound states of nonlinear Schrödinger equations
• On existence and scattering with minimal regularity for semilinear wave equations
• Standing waves for nonlinear Klein-Gordon equations with nonnegative potentials
• A Remark on the Blowing-Up of Solutions to the Cauchy Problem for Nonlinear Schrodinger Equations
• Breather solutions of the nonlinear wave equation
• On the shape of least‐energy solutions to a semilinear Neumann problem
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• On existence and scattering for critical and subcritical nonlinear Klein-Gordon equations in Hs
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
• Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations.

This page was built for publication: CROSS-CONSTRAINED VARIATIONAL PROBLEM AND THE NON-LINEAR KLEIN–GORDON EQUATIONS