On decay rates of the solutions of parabolic Cauchy problems

DOI10.1017/prm.2020.48zbMath1466.35030OpenAlexW3044677723MaRDI QIDQ4993028

José Bonet, Jari Taskinen, Wolfgang Lusky

Publication date: 15 June 2021

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10138/331482

zbMATH Keywords

Schauder basispolynomial decay rates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Initial value problems for second-order parabolic equations (35K15) Applications of functional analysis to differential and integral equations (46N20)

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Elliptic partial differential equations of second order
• Linear stability for transition front solutions in multidimensional Cahn-Hilliard systems
• Schauder bases and the decay rate of the heat equation
• Direct Methods in the Theory of Elliptic Equations

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