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

• Autorzy: Cung The Anh , Le Van Hieu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35B40: Asymptotic behavior of solutions
• 35K55: Nonlinear parabolic equations
• 35B42: Inertial manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2013
• Tom: 108
• Numer: 1
• Strony: 21-42

Daty

wydano

2013

Twórcy

autor

Cung The Anh

• Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam

autor

Le Van Hieu

• The Academy of, Journalism and Communication, 36 Xuan Thuy, Cau Giay, Hanoi, Vietnam

Identyfikatory

DOI

10.4064/ap108-1-3