On the unique continuation property for a nonlinear dispersive system.
Solitary waves for a coupled nonlinear Schrödinger system with dispersion management.
Gain of regularity for a Korteweg-de Vries--Kawahara type equation.
Existence and uniqueness for a nonlinear dispersive equation.
Exponential stability of a flexible structure with history and thermal effect
In this paper we study the asymptotic behavior of a system composed of an integro-partial differential equation that models the longitudinal oscillation of a beam with a memory effect to which a thermal effect has been given by the Green-Naghdi model type III, being physically more accurate than the Fourier and Cattaneo models. To achieve this goal, we will use arguments from spectral theory, considering a suitable hypothesis of smoothness on the integro-partial differential equation.
Transmission problem in thermoelasticity.
Exact boundary controllability for higher order nonlinear Schrödinger equations with constant coefficients.
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