Dynamical spectrum for scalar parabolic equations

DOI10.1080/00036810008840862zbMath1026.35089OpenAlexW1987599285WikidataQ58254094 ScholiaQ58254094MaRDI QIDQ2729492

Hugo Leiva

Publication date: 22 July 2001

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: http://www.saber.ula.ve/handle/123456789/22659

zbMATH Keywords

exponential dichotomydynamical spectrumNeumann and Dirichlet boundary conditionstime-dependent systemlinear skew-product semiflowsnegative continuationtime-dependent scalar parabolic equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Linear differential equations in abstract spaces (34G10)

Related Items (3)

Persistence and imperfection of nonautonomous bifurcation patterns ⋮ Fine structure of the dichotomy spectrum ⋮ SPECTRA OF DELAY EQUATIONS

Cites Work

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• Geometric theory of semilinear parabolic equations
• Dichotomies for linear evolutionary equations in Banach spaces
• Dynamical spectrum for time dependent linear systems in Banach spaces
• Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces
• Two definitions of exponential dichotomy for skew-product semiflow in Banach spaces

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