Competition models with diffusion, analytic semigroups, and inertial manifolds

DOI10.1002/mma.5281zbMath1405.35008OpenAlexW2890879548WikidataQ129206420 ScholiaQ129206420MaRDI QIDQ4611159

Nguyen Thieu Huy, Xuan-Quang Bui

Publication date: 24 January 2019

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5281

zbMATH Keywords

analytic semigroupssemilinear parabolic equationssectorial operatorsinertial manifoldsLotka-Volterra competition models with cross-diffusion

Mathematics Subject Classification ID

Inertial manifolds (35B42) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25) Semilinear parabolic equations (35K58)

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Inertial manifolds for parabolic differential equations: the fully nonautonomous case ⋮ Regularity of the inertial manifolds for evolution equations in admissible spaces and finite-dimensional feedback controllers ⋮ Inertial manifolds for a singularly non-autonomous semi-linear parabolic equations ⋮ On the existence and regularity of admissibly inertial manifolds with sectorial operators

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