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Matematicheskie Zametki, 2014, Volume 96, Issue 4, Pages 578–587
DOI: https://doi.org/10.4213/mzm10405 (Mi mzm10405) 		 
This article is cited in 4 scientific papers (total in 4 papers)

A Parabolic Equation with Nonlocal Diffusion without a Smooth Inertial Manifold

A. V. Romanov

Moscow State Institute of Electronics and Mathematics — Higher School of Economics
Full-text PDF (478 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm10405
Abstract: A family of parabolic integro-differential equations with nonlocal diffusion on the circle which have no smooth inertial manifold is presented.
Keywords: inertial manifold, semilinear parabolic equation, nonlocal diffusion, Hilbert integral operator.
Received: 14.08.2013
Revised: 15.02.2014
English version:
Mathematical Notes, 2014, Volume 96, Issue 4, Pages 548–555
DOI: https://doi.org/10.1134/S0001434614090296
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. V. Romanov, “A Parabolic Equation with Nonlocal Diffusion without a Smooth Inertial Manifold”, Mat. Zametki, 96:4 (2014), 578–587; Math. Notes, 96:4 (2014), 548–555
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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