Browsing by Author "Rossi, J. D."
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- ItemA nonlocal nonlinear diffusion equation with blowing up boundary conditions(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008) Bogoya, M.; Ferreira, R.; Rossi, J. D.We deal with boundary value problems (prescribing Dirichlet or Neumann boundary conditions) for a nonlocal nonlinear diffusion operator which is analogous to the porous medium equation. First, we prove existence, uniqueness and the validity of a comparison principle for these problems. Next, we impose boundary data that blow up in finite time and study the behavior of the solutions. (c) 2007 Published by Elsevier Inc.
- ItemRANDOM WALKS AND THE POROUS MEDIUM EQUATION(UNION MATEMATICA ARGENTINA, 2009) Cortazar, C.; Elgueta, M.; Martinez, S.; Rossi, J. D.In this paper we consider a fixed initial condition u(0) and we study the limit as epsilon -> 0 of u(epsilon), the solution to the re-scaled problem