Global solutions of semilinear heat equations in Hilbert spaces

G. Mihai Iancu and M. W. Wong

Abstract and Applied Analysis, 1996, vol. 1, issue 3, 263-276

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.

Date: 1996
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https://doi.org/10.1155/S1085337596000139

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:1:y:1996:i:3:p:263-276

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