Entire solutions of higher order abstract Cauchy problems

DOI10.1006/jmaa.1997.5266zbMath0879.34062OpenAlexW1981170838MaRDI QIDQ1359577

Jin Liang, Ti-Jun Xiao

Publication date: 29 January 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5266

zbMATH Keywords

abstract Cauchy problementire solutionhigher order differential equationparabolic higher order linear differential equations

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20)

Related Items

Differential and analytical properties of semigroups of operators, A characterization of norm continuity of propagators for second order abstract differential equations, Integrated semigroups and higher-order abstract equations, Entire and analytical solutions of certain classes of abstract degenerate fractional differential equations and their systems

Cites Work

• Unnamed Item
• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• Remarks on generators of analytic semigroups
• Singular perturbation and boundary layer for an abstract Cauchy problem
• Entire solutions of the abstract Cauchy problem
• Conditions for parabolicity of second order abstract differential equations
• Analyticity of the propagators of second order linear differential equations in Banach spaces
• Sul problema di Cauchy per le equazioni paraboliche astratte di ordine n
• Parabolicity of a Class of Higher-Order Abstract Differential Equations
• A Characterization of Holomorphic Semigroups