Well-posedness in Sobolev spaces for second-order strictly hyperbolic equations with nondifferentiable oscillating coefficients

DOI10.1023/B:AGAG.0000018553.77318.81zbMath1047.35079OpenAlexW1993982150MaRDI QIDQ1876568

Fumihiko Hirosawa, Michael Reissig

Publication date: 20 August 2004

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:agag.0000018553.77318.81

zbMATH Keywords

pseudo-differential operatorsdiagonalization proceduresharp Garding's inequality

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Pseudodifferential operators as generalizations of partial differential operators (35S05) Initial value problems for second-order hyperbolic equations (35L15) Degenerate hyperbolic equations (35L80)

Related Items (8)

Energy estimates at infinity for hyperbolic equations with oscillating coefficients ⋮ Unnamed Item ⋮ Strictly Hyperbolic Cauchy Problems with Coefficients Low-Regular in Time and Space ⋮ Loss of regularity for \(p\)-evolution type models ⋮ The Log-effect for \(p\)-evolution type models ⋮ Levi condition for hyperbolic equations with oscillating coefficients ⋮ Diagonalisation schemes and applications ⋮ Well-posedness of the Cauchy problem for hyperbolic equations with non-Lipschitz coefficients

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