Unique existence of evolution equations of hyperbolic type with countably many singular or degenerate points

DOI10.1016/0022-0396(89)90156-3zbMath0671.34003OpenAlexW2022457185MaRDI QIDQ1119787

Taeko Yamazaki

Publication date: 1989

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(89)90156-3

zbMATH Keywords

exampleabstract singular evolution equation of the hyperbolic typestrongly elliptic differential operator with smooth coefficients

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Elliptic equations and elliptic systems (35J99)

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Weakly hyperbolic equations in domains with boundaries ⋮ On the asymptotic behavior of the energy for the wave equations with time depending coefficients ⋮ On the energy estimates of the wave equation with time dependent propagation speed asymptotically monotone functions ⋮ Energy estimates for wave equations with time dependent propagation speeds in the Gevrey class ⋮ On second order weakly hyperbolic equations with oscillating coefficients and regularity loss of the solutions

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