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Inertial manifolds for retarded second order in time evolution equations in admissible spaces

100%

Anh C., Hieu L.

Annales Polonici Mathematici

2013

tom 108

nr 1

21-42

Using the Lyapunov-Perron method, we prove the existence of an inertial manifold for the process associated to a class of non-autonomous semilinear hyperbolic equations with finite delay, where the linear principal part is positive definite with a discrete spectrum having a sufficiently large distance between some two successive spectral points, and the Lipschitz coefficient of the nonlinear term may depend on time and belongs to some admissible function spaces.

Global Attractor for a Class of Parabolic Equations with Infinite Delay

81%

Anh C., Hieu L., Thanh D.

Bulletin of the Polish Academy of Sciences. Mathematics

2014

tom 62

nr 1

49-60

We prove the existence of a compact connected global attractor for a class of abstract semilinear parabolic equations with infinite delay.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Bulletin of the Polish Academy of Sciences. Mathematics

2 Anh C.

2 Hieu L.

1 Thanh D.

1 2014

1 2013

Wyniki wyszukiwania

Inertial manifolds for retarded second order in time evolution equations in admissible spaces

Global Attractor for a Class of Parabolic Equations with Infinite Delay