5 citations · 5 across the 3 of their papers we have counts for
3 papers
Regularity results for degenerate wave equations in a neighborhood of the boundary
Bruno S. V. Araújo, Reginaldo Demarque, Luiz Viana
In this paper we establish some regularity results concerning the behavior of weak solutions and very weak solutions of the degenerate wave equation near the boundary. For the nond…
Carleman inequality for a class of super strong degenerate parabolic operators and applications
Bruno S. V. Araújo, Reginaldo Demarque, Luiz Viana
In this paper, we present a new Carleman estimate for the adjoint equations associated to a class of super strong degenerate parabolic linear problems. Our approach considers a sta…
Boundary null controllability of degenerate heat equation as the limit of internal controllability
Bruno Sérgio V. Araújo, Reginaldo Demarque, Luiz Viana
In this paper, we recover the boundary null controllability for the degenerate heat equation by analyzing the asymptotic behavior of an eligible family of state-control pairs $((u_…