Global uniform decay rates for the solutions to wave equation with nonlinear boundary conditions

Abstract

Wave equation with nonlinear boundary conditions of Neumann type is considered. It is shown that the boundary damping produces a uniform global stability of the corresponding solutions.

Keywords:

• Wave equation with nonlinear boundary conditions
• boundary dissipation
• uniform decay rates

AMS:

• 35L05

^(∗)Research panially supported by the National Sciencc Foundation Grant NSF DMS 8902811 and the Air Force Office of Scientific Research Grant AFOSR-89-0511 DEF

^(∗)Research panially supported by the National Sciencc Foundation Grant NSF DMS 8902811 and the Air Force Office of Scientific Research Grant AFOSR-89-0511 DEF

Notes

^(∗)Research panially supported by the National Sciencc Foundation Grant NSF DMS 8902811 and the Air Force Office of Scientific Research Grant AFOSR-89-0511 DEF

Additional information

Notes on contributors

Irena Lasiecka

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