Út V. Lê and Eduardo Pascali

A Contraction Procedure for a Semi-Linear Wave Equation at the Boundary

abstract:
In this paper the unique solvability of a semi-linear wave equation associated with a full nonlinear damping-source term and a linear integral equation at the boundary is proved by a contraction procedure.

Mathematics Subject Classification: 35L15, 35L20, 35L70

Key words and phrases: Contraction procedure, semi-linear wave equation, full nonlinear damping-source term, linear integral equation, unique solvability