Well-posedness of a general class of non-autonomous hyperbolic boundary problems

DOI10.1007/s41808-023-00226-8zbMath1526.35239OpenAlexW4376128912MaRDI QIDQ6058360

Ahmed Amansag

Publication date: 1 November 2023

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41808-023-00226-8

zbMATH Keywords

accretive operatordissipative operatorboundary perturbationnon-autonomous hyperbolic equations

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Abstract hyperbolic equations (35L90) Linear accretive operators, dissipative operators, etc. (47B44) Boundary value problems for linear first-order PDEs (35F15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unbounded perturbations of the generator domain
• The Fredholm alternative for parabolic evolution equations with inhomogeneous boundary conditions
• Semigroups of linear operators and applications to partial differential equations
• Parabolic evolution equations and nonlinear boundary conditions
• A characteristic equation for non-autonomous partial functional differential equations
• Perturbation theory for linear operators.
• Quasilinear evolution equations with non-densely defined operators
• On nonautonomous functional differential equations
• A spatially and size-structured population model with unbounded birth process
• Boundary perturbation of \(m\)-dissipative operators
• Wellposedness and asymptotic behaviour of non-autonomous boundary Cauchy problems
• Robustness of Fredholm properties of parabolic evolution equations under boundary perturbations
• One-Parameter Semigroups for Linear Evolution Equations
• Extrapolation methods to solve non-autonomous retarded partial differential equations
• Feedbacks for Nonautonomous Regular Linear Systems
• Parabolic evolution equations with asymptotically autonomous delay
• Infinite-Horizon Linear-Quadratic Regulator Problems for Nonautonomous Parabolic Systems with Boundary Control

This page was built for publication: Well-posedness of a general class of non-autonomous hyperbolic boundary problems