- Volume 42 Issue 4
In this note, we introduce a new proof of the unique-ness and existence of a negatively bounded solution for a parabolic partial differential equation. The uniqueness in particular implies the finiteness of the Fourier spanning dimension of the global attractor and the existence allows a construction of an inertial manifold.
a parabolic differential equation;existence and uniqueness;attractor;inertial manifold
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