Evolution equations for abstract differential operators

DOI10.1016/S0022-247X(02)00381-5zbMath1027.47035OpenAlexW2030511411MaRDI QIDQ1856924

Quan Zheng

Publication date: 11 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00381-5

zbMATH Keywords

evolution equationspartial differential equationsregularized evolution families

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory to differential and integral equations (47N20) Linear differential equations in abstract spaces (34G10)

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Existence families, functional calculi and evolution equations
• The application of \(C\)-semigroups to differential operators in \(L^p(\mathbb{R}^n)\)
• Abstract parabolic systems and regularized semigroups
• The higher order differentiability of solutions of abstract evolution equations
• Linear Evolution Equations in Banach Spaces
• Semigroups of Operators and Polynomials of Generators of Bounded Strongly Continuous Groups
• Equations of parabolic type in a Banach space

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