8 citations · 19 across the 8 of their papers we have counts for
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Carleman estimates for parabolic equations with super strong degeneracy in a set of positive measure
Bruno S. V. Araújo, Reginaldo Demarque, Josiane C. O. Faria +1
This work is concerned with the obtainment of new Carleman estimates for linear parabolic equations, where the second-order differential operator brings a super strong degeneracy i…
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…
Carleman inequality for a linear degenerate parabolic problem
R. Demarque, J. Límaco, L. Viana
In this work, we prove a Carleman estimate for a parabolic problem which has a dissipative degenerate term. The prove relies on choose a suitable weight function that change of sig…
Local null controllability of coupled degenerate systems with nonlocal terms and one control force
R. Demarque, J. Límaco, L. Viana
In this paper, we are concerned with the internal control of a class of one-dimensional nonlinear parabolic systems with nonlocal and weakly degenerate diffusion coefficients. Our…
Local null controllability for degenerate parabolic equations with nonlocal term
Reginaldo Demarque, Juan Límaco, Luiz Viana
We establish a local null controllability result for following the nonlinear parabolic equation: $$u_t-\left(b\left(x,\int_0^1u \ \right)u_x \right)_x+f(t,x,u)=hχ_ω,\ (t,x)\in (0,T…