Abstract and Applied Analysis
Volume 1 (1996), Issue 3, Pages 263-276
doi:10.1155/S1085337596000139
Global solutions of semilinear heat equations in Hilbert spaces
G.Mihai Iancu
and M.W. Wong
Department of Mathematics and Statistics, York Univeristy, 4700 Keele Street, North York, Ontario M3J1P3, Canada
Abstract
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(ℝn) governed by pseudo-differential operators are given.