Asymptotic behavior in time of small solutions to nonlinear wave equations in an exterior domain

DOI10.1080/03605300008821520zbMath0976.35044OpenAlexW2047440368MaRDI QIDQ4951895

Nakao Hayashi

Publication date: 2 January 2002

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300008821520

zbMATH Keywords

one space dimensiontime decay rates of solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)

Cites Work

• Singularities and energy decay in acoustical scattering
• On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain
• Global existence of small radially symmetric solutions to quadratic nonlinear wave equations in an exterior domain
• Global existence of small radially symmetric solutions to quadratic nonlinear evolution equations in an exterior domain
• Global existence of small solutions to quadratic nonlinear wave equations in an exterior domain
• Decay and asymptotics for \(\square u = F(u)\)
• Global solutions of nonlinear hyperbolic equations for small initial data
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Local existence of solution for the initial boundary value problem of fully nonlinear wave equation
• Long time behaviour of solutions to some nonlinear rotation invariant mixed problems
• Global Existence of Solutions to Some Exterior Radial Quasilinear Cauchy- Dirichlet Problems
• Exponential decay of solutions of the wave equation in the exterior of a star‐shaped obstacle

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