Decay estimates in time for fractional evolution equations

DOI10.4171/zaa/1739MaRDI QIDQ6203815

Mahdi Achache

Publication date: 8 April 2024

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

decay estimateselliptic operatorfractional equations

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Initial value problems for second-order parabolic systems (35K45)

Cites Work

• Unnamed Item
• Unnamed Item
• Decay estimates for time-fractional and other non-local in time subdiffusion equations in \(\mathbb R^d\)
• General fractional calculus, evolution equations, and renewal processes
• Maximal regularity for non-autonomous evolution equations
• Lions' maximal regularity problem with \(H^{\frac{1}{2}}\)-regularity in time
• The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
• Decay estimates for evolutionary equations with fractional time-diffusion
• Non-autonomous maximal regularity for fractional evolution equations
• Maximal regularity for the damped wave equations
• Distributed order calculus and equations of ultraslow diffusion
• Evolutionary Integral Equations and Applications
• Optimal Decay Estimates for Time-Fractional and Other NonLocal Subdiffusion Equations via Energy Methods
• Basic Theory of Fractional Differential Equations