Boundary asymptotic and uniqueness of solution for a problem with -Laplacian.
Schauder fixed point theorem in spaces with global nonpositive curvature.
Large solutions for semilinear parabolic equations involving some special classes of nonlinearities.
Uniform controllability of the linear one dimensional Schrödinger equation with vanishing viscosity
This article considers the linear 1-d Schrödinger equation in (0) perturbed by a vanishing viscosity term depending on a small parameter > 0. We study the boundary controllability properties of this perturbed equation and the behavior of its boundary controls as goes to zero. It is shown that, for any time sufficiently large but independent of and for each initial datum in (0), there...
Uniform controllability of the linear one dimensional Schrödinger equation with vanishing viscosity
This article considers the linear 1-d Schrödinger equation in (0) perturbed by a vanishing viscosity term depending on a small parameter > 0. We study the boundary controllability properties of this perturbed equation and the behavior of its boundary controls as goes to zero. It is shown that, for any time sufficiently large but independent of and for each initial datum in (0), there...
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