On stabilization of solutions of second-order semilinear parabolic equations on closed manifolds

DOI10.4213/im9354ezbMath1528.35017OpenAlexW4387757180MaRDI QIDQ6085107

D. V. Tunitskii

Publication date: 2 December 2023

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/im9354

zbMATH Keywords

weak solutionstabilizationsecond-order parabolic equationKolmogorov-Petrovskii-Piskunov-Fisher equationsemilinear equation on manifold

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Pfaffian systems (58A17) Weak solutions to PDEs (35D30) Semilinear parabolic equations (35K58) PDEs on manifolds (35R01)

Cites Work

• Deforming metrics in the direction of their Ricci tensors
• Parabolic equations in biology. Growth, reaction, movement and diffusion
• Analysis of the periodically fragmented environment model. I: Species persistence
• Lectures on the Geometry of Manifolds
• Elliptic Partial Differential Equations of Second Order
• Seminar on Atiyah-Singer Index Theorem. (AM-57)
• Nonlinear Second Order Parabolic Equations
• On solvability of semilinear second-order elliptic equations on closed manifolds
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