A parabolic equation with nonlocal diffusion without a smooth inertial manifold

DOI10.1134/S0001434614090296zbMath1422.35127arXiv1306.4249OpenAlexW1974792140MaRDI QIDQ2343894

Aleksandr V. Romanov

Publication date: 11 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.4249

zbMATH Keywords

semilinear parabolic equationinertial manifoldnonlocal diffusionHilbert integral operator

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Integro-partial differential equations (45K05) Inertial manifolds (35B42) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25) Integro-partial differential equations (35R09) Quasilinear parabolic equations (35K59)

Related Items (3)

Inertial manifolds for 1D reaction-diffusion-advection systems. Part I: Dirichlet and Neumann boundary conditions ⋮ Inertial manifolds for 1D reaction-diffusion-advection systems. II: Periodic boundary conditions ⋮ Finite-dimensional reduction of systems of nonlinear diffusion equations

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