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20052026
most citedParabolic partial differential equations with discrete state-dependent delay: classical solutions and solution manifold

67 citations · 251 across the 15 of their papers we have counts for

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math.DS2007

Partial Inertial Manifolds for infinite-dimensional dynamical systems: Example for P.D.E.s with a state-dependent delay

Alexander V. Rezounenko

We propose a new notion of Partial Inertial Manifold to study the long-time asymptotic behavior of dissipative differential equations. As shown on an example, such manifolds may ex…