An example of nonlinear wave equation whose solutions decay faster than exponentially

DOI10.1016/0022-247X(87)90357-XzbMath0653.35062MaRDI QIDQ1107740

Mitsuhiro Nakao

Publication date: 1987

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

zbMATH Keywords

growthexistenceinequalitygeneralized solutionparametermixed problemenergy operator

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order nonlinear hyperbolic equations (35L70)

Related Items (2)

Energy decay rate of solutions for the wave equation with singular nonlinearities ⋮ Decay estimates for some nonlinear second order ordinary differential equations

Cites Work

• Growth estimates for solutions of evolutionary equations in Hilbert space with applications in elastodynamics
• Some uniqueness and growth theorems in the Cauchy problem for \(Pu_{tt}+Mu_t+Nu=0\) in Hilbert space
• The asymptotic behavior of solutions of second order systems of partial differential equations
• Periodic solution and decay for some nonlinear wave equations with sublinear dissipative terms
• Lower Bounds for Solutions of Hyperbolic Inequalities

This page was built for publication: An example of nonlinear wave equation whose solutions decay faster than exponentially