arXiv subjects

V. N. Domingos Cavalcanti

Publications and source records attributed to V. N. Domingos Cavalcanti.

4 recordsLinked to original sources

arXiv2019

Boundary Control for a Generalized Wave Equation -- Revisiting Russell's Method of Control

In this work we study the exact boundary controllability of a generalized wave equation in a nonsmooth domain with a nontrapping obstacle. In the more general case, this work contemplates the boundary control of a transmission problem admitting several zones of transmission. The result is obtained using the technique developed by David Russell, taking advantage of the local energy decay for the problem, obtained through the Scattering Theory as used by Vodev, combined with a powerful trace Theorem due to Tataru.

math.AP↗

arXiv2009

Exponential Decay Rates for the Damped Korteweg-de Vries Type Equation

The exponential decay rate of $L^2-$norm related to the Korteweg-de Vries equation with localized damping posed on whole real line will be established. In addition, by using classical arguments we determine the $H^1-$norm of the solution associated to Korteweg-de Vries equation with damping in whole domain, can not have a decay property for an arbitrary initial data.

math.AP↗

arXiv2008

Asymptotic stability of the wave equation on compact surfaces and locally distributed damping - A sharp result

This paper is concerned with the study of the wave equation on compact surfaces and locally distributed damping. We study the case where the damping is effective in a well-chosen subset of arbitrarily small measure.

math.AP↗

arXiv2008

Uniform Stabilization of the wave equation on compact surfaces and locally distributed damping

This paper is concerned with the study of the wave equation on compact surfaces and locally distributed damping. We study the case where the damping is effective on the complement of visible umbilical sets.

math.AP↗