Inertial Manifolds of Parabolic Partial Differential Equations withTime Delays in the Non-self Adjoint Case
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Abstract:
The present paper deals with the long time behavior of semilinear parabolic equations with time delays in the non-self adjoint case. Under the condition of right spectral gap and the assumption of properly small delay time, the existence of inertial manifolds is proved by Lyapunov-Perron method.
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ZHU Jianmin, LI Xiang, HUANG Jianhua. Inertial Manifolds of Parabolic Partial Differential Equations withTime Delays in the Non-self Adjoint Case[J]. Journal of National University of Defense Technology,2006,28(3):120-123.