Global solutions of semilinear heat equations in Hilbert spaces

G. Mihai Iancu and M. W. Wong

Abstract and Applied Analysis, 1996, vol. 1, 1-14

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 ( ℝ n ) governed by pseudo-differential operators are given.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:456428

DOI: 10.1155/S1085337596000139

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