4 citations · 5 across the 5 of their papers we have counts for
5 papers
Carleman Inequalities for the Heat Equation with Fourier Boundary Conditions: Applications to Null Controllability Problems
Jose Antonio Villa
In this work, we establish a Carleman inequality for the heat equation with Fourier boundary conditions of the form , where the control acts on a small portion…
A generalization of Osgood's test and a comparison criterion for integral equations with noise
M. J. Ceballos-Lira, J. E. Macías-Díaz, J. Villa
In this work, we prove a generalization of Osgood's test for the explosion of the solutions of initial-value problems. We also establish a comparison criterion for the solution of…
On the Dirichlet Problem
José Villa
Using, as main tool, the convergence theorem for discrete martingales and the mean value property of harmonic functions we solve, a particular case of, Dirichlet problem.
The Local Time of the Classical Risk Process
F. Cortes, J. A. León, J. Villa
In this paper we give an explicit expression for the local time of the classical risk process and associate it with the density of an occupational measure. To do so, we approximate…
Self-Intersection Local Time of -superprocess
L. Mytnik, J. Villa
The existence of self-intersection local time (SILT), when the time diagonal is intersected, of the -superprocess is proved for and for a renormalized SILT when $d…