Theorem on the central manifold of a nonlinear parabolic equation
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Under certain assumptions, we prove the existence of anm-parameter family of solutions that form the central invariant manifold of a nonlinear parabolic equation. For this purpose, we use an abstract scheme that corresponds to energy methods for strongly parabolic equations of arbitrary order.
KeywordsParabolic Equation Real Axis Invariant Manifold Unique Fixed Point Zero Solution
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