Linear evolution equations and a mixed problem for singular or degenerate wave equations

DOI10.1080/03605308708820508zbMath0621.35064OpenAlexW2078553683MaRDI QIDQ3756678

Taeko Shigeta

Publication date: 1987

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308708820508

zbMATH Keywords

well-posednesssmooth boundarybounded domainlinear evolution equationKato's stability conditionsingular and degenerate wave equationsweak stability condition

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Linear differential equations in abstract spaces (34G10) Second-order hyperbolic equations (35L10) Degenerate hyperbolic equations (35L80)

Related Items

Unique existence of evolution equations of hyperbolic type with countably many singular or degenerate points ⋮ The abstract Cauchy problem for dissipative operators with respect to metric-like functionals ⋮ Evolution variational inequalities with growth conditions in metric spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Le problème de Cauchy pour les équations paraboliques
• Linear evolution equations of non-parabolic type with variable domains
• On a theorem for linear evolution equations of hyperbolic type
• Global existence for abstract evolution equations of weakly hyperbolic type
• Linear evolution equations of hyperbolic type. II
• On linear differential equations in banach spaces
• On the mixed problems for weakly hyperbolic equations of second order
• Cauchy problem for degenerate hyperbolic equations
• A mixed problem for weakly hyperbolic equations of second order

This page was built for publication: Linear evolution equations and a mixed problem for singular or degenerate wave equations