The existence, uniqueness, regularity and asymptotic
behavior of global solutions of semilinear heat equations in Hilbert spaces
are studied by developing new results in the theory of one-parameter strongly
continuous semigroups of bounded linear operators. Applications to special
semilinear heat equations in $L^2(\mathbb{R}^n)$ governed by pseudo-differential
operators are given.
@article{1049726051,
author = {Iancu, G. Mihai and Wong, M. W.},
title = {Global solutions of semilinear heat equations in Hilbert spaces},
journal = {Abstr. Appl. Anal.},
volume = {1},
number = {1},
year = {1996},
pages = { 263-276},
language = {en},
url = {http://dml.mathdoc.fr/item/1049726051}
}
Iancu, G. Mihai; Wong, M. W. Global solutions of semilinear heat equations in Hilbert spaces. Abstr. Appl. Anal., Tome 1 (1996) no. 1, pp. 263-276. http://gdmltest.u-ga.fr/item/1049726051/