3 papers
math.AP2014
On the heat equation with nonlinearity and singular anisotropic potential on the boundary
Marcelo F. de Almeida, Lucas C. F. Ferreira, Juliana C. Precioso
This paper concerns with the heat equation in the half-space with nonlinearity and singular potential on the boundary . We develop…
math.AP2014
Existence and symmetries of solutions in Besov-Morrey spaces for a semilinear heat-wave type equation
M. F. de Almeida, J. C. Precioso
This paper considers a semilinear integro-differential equation of Volterra type which interpolates semilinear heat and wave equations. Global existence of solutions is showed in s…
math.AP2011
A mass-transportation approach to a one dimensional fluid mechanics model with nonlocal velocity
J. A. Carrillo, L. C. F. Ferreira, J. C. Precioso
We consider a one dimensional transport model with nonlocal velocity given by the Hilbert transform and develop a global well-posedness theory of probability measure solutions. Bot…