Geodesic
A Parabolic Equation with Nonlocal Diffusion without a Smooth Inertial Manifold
Matematičeskie zametki, Tome 96 (2014) no. 4, pp. 578-587

Voir la notice de l'article provenant de la source Math-Net.Ru

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, Hilbert integral operator.
Mots-clés : nonlocal diffusion 
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     author = {A. V. Romanov},
     title = {A {Parabolic} {Equation} with {Nonlocal} {Diffusion} without a {Smooth} {Inertial} {Manifold}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {578--587},
     publisher = {mathdoc},
     volume = {96},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_96_4_a8/}
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A. V. Romanov. A Parabolic Equation with Nonlocal Diffusion without a Smooth Inertial Manifold. Matematičeskie zametki, Tome 96 (2014) no. 4, pp. 578-587. http://geodesic.mathdoc.fr/item/MZM_2014_96_4_a8/