Minimal periods for solutions of semilinear wave equations in exterior domains and for solutions of the equations of nonlinear elasticity

DOI10.1016/0022-247X(88)90155-2zbMath0676.35063OpenAlexW2057648680MaRDI QIDQ1122707

Levine, Howard A.

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(88)90155-2

zbMATH Keywords

growthnonlinear elasticitysine-Gordon equationradially symmetrictime-periodic solutionssemilinearperiodic elastic coefficientssemilinear elasticity

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Nonlinear elasticity (74B20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order nonlinear hyperbolic equations (35L70) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (4)

Nonlinear wave equations: Constraints on periods and exponential bounds for periodic solutions ⋮ Optimal control of an energy-critical semilinear wave equation in 3D with spatially integrated control constraints ⋮ Smooth manifolds for semilinear wave equations on \({\mathbb{R}}^ 2:\) On the existence of almost-periodic breathers ⋮ On the existence of smooth breathers for nonlinear wave equations

Cites Work

• Non-existence, instability, and growth theorems for solutions of a class of abstract nonlinear equations with applications to nonlinear elasto- dynamics
• Logarithmic convexity and the Cauchy problem for some abstract second order differential inequalities
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