Global solutions of semilinear heat equations in Hilbert spaces
Summary: 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 pseudodifferential operators are given.
global solutions of semilinear heat equations
one-parameter strongly continuous semigroups
scientific article; zbMATH DE number 1370659