RT Journal Article
T1 Abstract results on the finite extinction time property: application to a singular parabolic equation
A1 Díaz Díaz, Jesús Ildefonso
A1 Belaud, Yves
AB We start by studying the finite extinction time for solutions of the abstract Cauchy problem u(t) + Au + Bu = 0 where A is a maximal monotone operator and B is a positive operator on a Hilbert space H. We use a suitable spectral energy method to get some sufficient conditions which guarantee this property. As application we consider a singular semilinear parabolic equation: Au = -Delta u, Bu = a(x)u(q), a(x) >= 0 bounded and -1 < q < 1, on a regular bounded domain Omega and Dirichlet boundary conditions.
PB Heldermann Verlag
SN 0944-6532
YR 2010
FD 2010-04-03
LK https://hdl.handle.net/20.500.14352/42152
UL https://hdl.handle.net/20.500.14352/42152
LA eng
NO Unión Europea. FP7
NO Ministerio de Ciencia e Innovacion, Spain
NO UCM
DS Docta Complutense
RD 28 abr 2025