Global Existence of Solutions to Nonlinear Wave Equations

DOI10.1080/03605309908821503zbMath0938.35107OpenAlexW2052557595MaRDI QIDQ4719945

Mariusz Kepka, Zhengfang Zhou, Eugene Belchev

Publication date: 5 January 2000

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309908821503

zbMATH Keywords

Penrose conformal compactification

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (2)

Scattering problem for the nonlinear wave equation in the finite energy and conformal charge space ⋮ Finite-time blow-up of solutions to semilinear wave equations

Cites Work

• Nonexistence of global solutions to semilinear wave equations in high dimensions
• Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
• Finite-time blow-up for solutions of nonlinear wave equations
• Existence in the large for \(cmu=F(u)\) in two space dimensions
• Global classical solutions of nonlinear wave equations
• Nonlinear scattering theory at low energy
• Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Regularity results for nonlinear wave equations
• Convergence of quantum electrodynamics in a curved deformation of Minkowski space
• The global Cauchy problem for the critical nonlinear wave equation
• Convergence of nonlinear massive quantum field theory in the Einstein universe
• Global existence of low regularity solutions of nonlinear wave equations
• The global Goursat problem and scattering for nonlinear wave equations
• Global behavior of solutions to nonlinear wave equations in three dimensions
• Reduction of scattering to an invariant finite displacement in an ambient space-time
• The equation u_tt − Δu = |u|^p for the critical value of p
• Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions
• Almost global existence to nonlinear wave equations in three space dimensions
• Global solutions of nonlinear hyperbolic equations for small initial data
• Blow-up for quasi-linear wave equations in three space dimensions
• Global existence for nonlinear wave equations
• Nonlinear Quantum Fields in ≥4 Dimensions and Cohomology of the Infinite Heisenberg Group
• Global, small amplitude solutions to nonlinear evolution equations

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