A Characterization of Uniform Well Posedness for Degenerate Second-Order Abstract Differential Equations.

Authors :: Aparicio, Rafael
Keyantuo, Valentin
Lizama, Carlos
Source :: Results in Mathematics / Resultate der Mathematik; Oct2023, Vol. 78 Issue 5, p1-17, 17p
Publication Year :: 2023
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. [ABSTRACT FROM AUTHOR]

Subjects :: DIFFERENTIAL equations
BOUNDARY value problems
RESOLVENTS (Mathematics)
BANACH spaces
HILBERT space
DEGENERATE differential equations

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