Global smooth solutions to a class of semilinear wave equations with strong nonlinearities

DOI10.1007/BF02567913zbMath0722.35058MaRDI QIDQ756014

Hartmut Pecher

Publication date: 1990

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155546

zbMATH Keywords

Cauchy problemscattering operatorsemilinear wave equationsglobal classical solutionnonlinearity bounded from above

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Fixed-point theorems (47H10) Second-order nonlinear hyperbolic equations (35L70) A priori estimates in context of PDEs (35B45)

Related Items

Scattering Theory for Semilinear Wave Equations with Small Data in Two Space Dimensions ⋮ Scattering theory for semilinear wave equations with small data in two space dimensions

Cites Work

• Scattering for semilinear wave equations with small data in three space dimensions
• Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
• Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• The equation u_tt − Δu = |u|^p for the critical value of p
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