RT Book, Section
T1 The structure of solutions near an extinction point in a semilinear heat equation with strong absorption: a formal approach
A1 Galaktionov, V. A.
A1 Herrero, Miguel A.
A1 Velázquez, J.J. L.
A2 Lloyd, N. G.
A2 Ni, W. M.
A2 Peletier, L. A.
A2 Serrin, J.
AB We consider nonnegative solutions of the semilinear parabolic equation u t —u xx + u p = 0, -∞<x< +∞, t>0, 0<p<l, which vanish at the extinction point x = 0 at a time t = T. By means of formal methods, we derive a family of asymptotic expansions for solutions and interface curves (these last separating the regions where u = 0 and u> 0), as (x,t) approaches (0,T).
PB Birkhäuser
SN 978-1-4612-6741-6
YR 1992
FD 1992
LK https://hdl.handle.net/20.500.14352/60766
UL https://hdl.handle.net/20.500.14352/60766
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NO Proceedings of the conference held in Gregynog, Wales, August 20–29, 1989
DS Docta Complutense
RD 1 may 2024