Global existence of small radially symmetric solutions to quadratic nonlinear wave equations in an exterior domain

DOI10.1007/BF02567842zbMath0816.35088MaRDI QIDQ1315073

Nakao Hayashi

Publication date: 10 July 1995

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155885

zbMATH Keywords

global existencequadratic growthsmall radially symmetric solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70)

Related Items (2)

Asymptotic behavior in time of small solutions to nonlinear wave equations in an exterior domain ⋮ Global existence of small radially symmetric solutions to quadratic nonlinear wave equations in an exterior domain

Cites Work

• Unnamed Item
• On the global existence of classical solutions of second order fully nonlinear hyperbolic equations with first order dissipation in the exterior domain
• 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
• 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
• Nonlinear wave equations in exterior domains
• Exponential decay of solutions of the wave equation in the exterior of a star‐shaped obstacle

This page was built for publication: Global existence of small radially symmetric solutions to quadratic nonlinear wave equations in an exterior domain