Displaying similar documents to “Existence and analyticity of a parabolic evolution operator for nonautonomous linear equations in Banach spaces.”

Abstract parabolic problem with non-Lipschitz nonlinearity

Jan Cholewa, Tomasz Dlotko (2000)

Banach Center Publications

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An abstract parabolic equation with sectorial operator and continuous nonlinearity is studied in this paper. In particular, the asymptotic behavior of solutions is described within the framework of the theory of global attractors. Examples included in the final part of the paper illustrate the presented ideas.