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Asymptotics of pseudodifferential parabolic equations

Cholewa J. W., Dłotko T., Turski A. W.

Demonstratio Mathematica

2002

Vol. 35, nr 1

74-91

The paper provides new type examples covered by the general theory of global attractors for abstract parabolic equations presented in the monograph [C-D 1]. Inside the class of sectorial equations of the form (1) u+Au = F(u), t > 0, u(0) = uo, we cover pseudodifferential parabolic problems (2) m = -(-A)u + f(u), a należy (0,1), studied with suitable initial-boundary conditions and also their generalizations to problems with the main part being a finite sum of the fractional powers.