A note on existence of global classical solutions to nonlinear wave equations

DOI10.1007/BF02386113zbMath0652.35076MaRDI QIDQ1107035

Peter Kumlin

Publication date: 1988

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

semilinear wave equationgrowth conditionLane-Emden equationclassical global unique solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

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• A note on maximal rate of decay for solutions to some semilinear wave equations
• Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• On the classical solvability of the Cauchy problem for nonlinear wave equations with small initial values and the asymptotic behavior of the solutions
• Blow-up theorems for nonlinear wave equations
• Quasilinear Dirichlet problems driven by positive sources
• On application of the monotone iteration scheme to noncoercive elliptic and hyperbolic problems
• Biow-up of solutions of some nonlinear hyperbolic equations
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Global existence for nonlinear wave equations

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