3 papers
math.AP2022
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…
math.AP2020
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…
math.AP2018
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…