EXPONENTIAL DECAY OF WAVE EQUATION WITH A VISCOELASTIC BOUNDARY CONDITION AND SOURCE TERM

In this paper we are concerned with the stability of solutions for the wave equation with a viscoelastic Boundary condition and source term by using the potential well method, the multiplier technique and unique continuation theorem for the wave equation with variable coefficient

ON GLOBAL EXISTENCE FOR THE QUASILINEAR WAVE EQUATION WITH BOUNDARY DISSIPATION AND SOURCE TERMS

In this work we are concerned with the existence of strong solutions and exponential decay of the total energy for the initial boundary value problem associated with the quasilinear wave equation with nonlinear source and boundary damping term. The results are proved by means of the potential well method, the multiplier technique and suitable unique continuation theorem for the wave equation with the variable coefficient

UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM

In this work we are concerned with the existence of strong solutions andexponential decay of the total energy for the initial boundary value problem associatedwith the quasilinear wave equation with nonlinear source, under the assumption thatthe velocity boundary feedback is dissipative. The results are proved by means ofthe potential well method, the multiplier technique and suitable unique continuationtheorem for the wave equation with variable coefficients

ASYMPTOTIC BEHAVIOR OF MODEL OF PLATE SEMILINEAR WITH DISSIPATION DISTRIBUTED LOCALLY

We evalúate the uniform decay of the energy associated with a model semi lineal plates, with dissipation distributed locally, using the principle of continuation single result studied by Ruiz [9] and applied to work with locallydistributed by Zuazua dissipation [10]