Absence of time-periodic solutions for certain multidimensional nonlinear wave equations

DOI10.1007/BF01094187zbMath0645.35067MaRDI QIDQ1103113

L. V. Kapitanskij

Publication date: 1988

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

nonlinear wave equationsabsence of time-periodic solutions

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70)

Cites Work

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• Symmetry and related properties via the maximum principle
• Periodic solutions of a nonlinear wave equation without assumption of monotonicity
• There are no classical glueballs
• Existence of solitary waves in higher dimensions
• Absence of classical lumps
• Large amplitude time periodic solutions of a semilinear wave equation
• Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
• Periodic solutions of hamiltonian systems

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