ATTRACTORS OF THE DEGENERATING EVOLUTIONARY EQUATIONS

Authors

  • A. V. Tsutsulian

DOI:

https://doi.org/10.46991/PYSUA.2000.34.1.010

Keywords:

attractors, degenerate second-order evolution equations

Abstract

This article proves the existence of semigroup attractors generated by mixed problems for degenerate second-order evolution equations, where degeneration can occur either on the entire boundary or on a part of it. The compactness of the attractors in the space L2 is established, and a Lyapunov function is constructed to elucidate their structure.

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Published

2000-04-26

Issue

Vol. 34 No. 1 (192) (2000)

Section

Mathematics

License

Copyright (c) 2000 Proceedings of the YSU

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Tsutsulian, A. V. (2000). ATTRACTORS OF THE DEGENERATING EVOLUTIONARY EQUATIONS. Proceedings of the YSU A: Physical and Mathematical Sciences, 34(1 (192), 10-19. https://doi.org/10.46991/PYSUA.2000.34.1.010

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