An existence and uniqueness theorem for wave equations with scalar nonlinearities

DOI10.1007/BF00944920zbMath0666.35061MaRDI QIDQ1117103

Dieter F. Kremer

Publication date: 1987

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenesscontinuum mechanicsglobal solutionsscalar nonlinearities

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (2)

Meshless local radial point interpolation to three-dimensional wave equation with Neumann's boundary conditions ⋮ Existence and uniqueness of global solution for wave equations with scalar nonlinearities

Cites Work

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• Bifurcation diagrams and periodic solutions to nonlinear equations
• On a new class of nonlinear wave equations
• Nonlinear vibration of beams and rectangular plates
• Free vibrations and dynamic buckling of the extensible beam
• Bifurcation of periodic solutions for wave equations with scalar nonlinearities

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