INVESTIGADORES
FERNANDEZ BONDER Julian
artículos
Título:
Blow Up Vs. Spurious Steady Solutions
Autor/es:
JULIAN FERNANDEZ BONDER; ROSSI, JULIO DANIEL
Revista:
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Editorial:
AMER MATHEMATICAL SOC
Referencias:
Año: 2001 vol. 129 p. 139 - 144
ISSN:
0002-9939
Resumen:
In this paper, we study the blow-up problem for positive solutions
of a semidiscretization in space of the heat equation in one space dimension
with a nonlinear flux boundary condition and a nonlinear absorption term in
the equation. We obtain that, for a certain range of parameters, the continuous
problem has blow-up solutions but the semidiscretization does not and the
reason for this is that a spurious attractive steady solution appears.
