2019
Том 71
№ 4

All Issues

Theorem on the central manifold of a nonlinear parabolic equation

Belan E. P., Lykova O. B.

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Abstract

Under certain assumptions, we prove the existence of an m-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.

English version (Springer): Ukrainian Mathematical Journal 48 (1996), no. 8, pp 1153-1170.

Citation Example: Belan E. P., Lykova O. B. Theorem on the central manifold of a nonlinear parabolic equation // Ukr. Mat. Zh. - 1996. - 48, № 8. - pp. 1021-1036.

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