A Sharp Condition for Existence of an Inertial Manifold

@inproceedings{Miklavi2004ASC,
  title={A Sharp Condition for Existence of an Inertial Manifold},
  author={Milan Miklavi},
  year={2004}
}
  • Milan Miklavi
  • Published 2004
It is shown that a perturbation argument that guarantees persistence of inertial (invariant and exponentially attracting) manifolds for linear perturbations of linear evolution equations applies also when the perturbation is nonlinear. This gives a simple but sharp condition for existence of inertial manifolds for semilinear parabolic as well as for some… CONTINUE READING