Strong solution for singularly nonautonomous evolution equation with almost sectorial operators

DOI10.3934/dcds.2022145zbMath1514.35106OpenAlexW4309209077MaRDI QIDQ6039821

Marcelo J. D. Nascimento, Tomás Caraballo Garrido, Karina Schiabel, Maykel Boldrin Belluzi

Publication date: 23 May 2023

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2022145

zbMATH Keywords

regularizationsmoothing effectalmost sectorial operatorssingularly nonautonomous parabolic problems

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Strong solutions to PDEs (35D35) Sectorial operators (47B12)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singularly non-autonomous semilinear parabolic problems with critical exponents
• Dynamics in Dumbbell domains. I: Continuity of the set of equilibria
• Non-autonomous semilinear evolution equations with almost sectorial operators
• Dynamics in dumbbell domains. II: The limiting problem
• Dynamics in dumbbell domains III. Continuity of attractors
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• A functional calculus for almost sectorial operators and applications to abstract evolution equations
• A generation theorem for semigroups of growth order \(\alpha\)
• The higher order differentiability of solutions of abstract evolution equations
• Generation theorems of semi-groups of linear operators
• Equations of parabolic type in a Banach space
• Convergence to a stationary state of the solution of some kind of differential equations in a Banach space

This page was built for publication: Strong solution for singularly nonautonomous evolution equation with almost sectorial operators