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- Title
A Characterization of Uniform Well Posedness for Degenerate Second-Order Abstract Differential Equations.
- Authors
Aparicio, Rafael; Keyantuo, Valentin; Lizama, Carlos
- Abstract
We completely characterize the uniform well-posedness of the Dirichlet boundary value problem for degenerate second order abstract differential equations in Hilbert and Banach spaces. Our characterization is given solely in terms of spectral properties of the data and uniform boundedness properties of an appropriate resolvent operator.
- Subjects
DIFFERENTIAL equations; BOUNDARY value problems; RESOLVENTS (Mathematics); BANACH spaces; HILBERT space; DEGENERATE differential equations
- Publication
Results in Mathematics / Resultate der Mathematik, 2023, Vol 78, Issue 5, p1
- ISSN
1422-6383
- Publication type
Article
- DOI
10.1007/s00025-023-01942-2