The method of lines and the nonlinear Klein-Gordon equation

DOI10.1016/0022-0396(78)90020-7zbMath0399.65066OpenAlexW1968190000MaRDI QIDQ1254839

Joseph W. Jerome

Publication date: 1978

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(78)90020-7

zbMATH Keywords

Wave EquationKlein-Gordon EquationMethod of LinesExistence ProofNonlinear Dirichlet ProblemsNonlinear PerturbationsPseudomonotone OperatorsSemidiscretization MethodStability Estimates

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonlinear elliptic equations (35J60) Second-order nonlinear hyperbolic equations (35L70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Application of rothe’s method to semilinear hyperbolic equations

Cites Work

• Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
• The global Cauchy problem for a relativistic scalar field with power interaction
• Nonlinear Meson Theory of Nuclear Forces. I. Neutral Scalar Mesons with Point-Contact Repulsion
• Nonlinear equations of evolution and a generalized Stefan problem
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