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Consideramos una ecuación de onda no lineal, con un término disipativo del tipo a(x)u' (el Coeficiente a depende de la variable espacial).Usando el método de FAEDO-GALERKIN, y definiendo funcionales, de energía adecuados, encontraremos existencia global de la solución para datos pequeños. Una vez hecho esto usamos desigualdades integrales para mostrar que la energía del sistema decae a cero de manera exponencial.

In this paper we investigate the global existence and decay of solutions to a degenerate wave equations with nonlinear dissipative term of variable coefficient.

En el presente trabajo investigamos la existencia global de las soluciones de una Ecuación no Lineal, prescindiendo del "Potential well Method" y aplicamos el método del Tartar

Decay estimates for the energy are derived for a linear hyperbolic equation with time - dependent coefficients.

En este trabajo estudiamos la existencia y unicidad de la solución global de la ecuación de Kirchoff .... Con una disipación au' y demostraremos el decaimiento exponencial de su energía.

In this article we study the wave propagation over materials consisting of two components: one component is simple elastic while the other has  a nonlinear internal dampingwith elastic coefficients dependent on time; both components having source terms. Byusing the potential well method we obtain the global existence, we also show that theenergy of the system decays uniformly to zero,

In this paper we consider the nonlinear transmission problem for the wave equation with time dependent coefficients and nonlinear internal damping. We prove global existence and study decay properties of the solutions. The result is achieved by using the multiplier technique and suitable unique continuation theorem for the wave equation.

In this article, we are concerned with the stability of solutions for the wave equation with a weakly nonlinear boundary dissipation and source term. The resultsare proved by means of the potential well method, the multiplier technique and a newintegral inequality.

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.

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.

In this paper we study the hidden regularity of solutions for a wave equation with the p-laplacian operator...Indeed, we will prove that the normal derivative...

En este trabajo demostramos la existencia de soluciones débiles de un problema del tipo p(x) Kirchhoff con término no local. Usando el método de Galerkin, el teorema del punto fijo en dimensión finita y la teoría de los Espacios de Sobolev con exponente variable, se establece el resultado.

No description

Consideramos una ecuación de onda no lineal, con un término disipativo del tipo a(x)u' (el Coeficiente a depende de la variable espacial).Usando el método de FAEDO-GALERKIN, y definiendo funcionales, de energía adecuados, encontraremos existencia global de la solución para datos pequeños. Una vez hecho esto usamos desigualdades integrales para mostrar que la energía del sistema decae a cero de manera exponencial.

In this paper we investigate the global existence and decay of solutions to a degenerate wave equations with nonlinear dissipative term of variable coefficient.

En el presente trabajo investigamos la existencia global de las soluciones de una Ecuación no Lineal, prescindiendo del "Potential well Method" y aplicamos el método del Tartar

Decay estimates for the energy are derived for a linear hyperbolic equation with time - dependent coefficients.

En este trabajo estudiamos la existencia y unicidad de la solución global de la ecuación de Kirchoff .... Con una disipación au' y demostraremos el decaimiento exponencial de su energía.

In this article we study the wave propagation over materials consisting of two components: one component is simple elastic while the other has  a nonlinear internal dampingwith elastic coefficients dependent on time; both components having source terms. Byusing the potential well method we obtain the global existence, we also show that theenergy of the system decays uniformly to zero,