Dynamically equivalent perturbations of linear parabolic equations

• Autorzy: Czaja R.
• Języki publikacji: EN

Abstrakty

EN

A family of abstract parabolic equations with sectorial operator is studied in this paper. The conditions are provided to show that the global attractors for each equation exist and coincide. Although the common dynamics is simple, the examples presented in the final part of the paper indicate that the considered family may contain a linear equation together with a large number of its nonlinear perturbations. The mentioned examples include both scalar second order equations and the celebrated Cahn-Hilliard system.

Słowa kluczowe

EN

global attractor; dissipative semigroup; parabolic equations; Cahn-Hilliard system

PL

atraktor globalny; półgrupy dysypatywne; równania paraboliczne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 2
• Strony: 327--348
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Czaja R.

• Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

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