Browsing by Author "Bogoya, M."
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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.