Displaying similar documents to “A global existence-global nonexistence conjecture of Fujita type for a system of degenerate semilinear parabolic equations”

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.