Asymptotic integration and dispersion for hyperbolic equations

zbMath1198.35142arXiv0709.1678MaRDI QIDQ981960

Tokio Matsuyama, Michael Ruzhansky

Publication date: 9 July 2010

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

Full work available at URL: https://arxiv.org/abs/0709.1678

zbMATH Keywords

time-dependent coefficientsasymptotic integrationdispersive estimateshomogeneous symbols

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) A priori estimates in context of PDEs (35B45) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (8)

On \(t\)-dependent hyperbolic systems. II. ⋮ Pointwise van der Corput lemma for functions of several variables ⋮ Weakly hyperbolic equations with non-analytic coefficients and lower order terms ⋮ Global well-posedness of Kirchhoff systems ⋮ On the well-posedness of weakly hyperbolic equations with time-dependent coefficients ⋮ Dispersive estimates for hyperbolic systems with time-dependent coefficients ⋮ Time decay for hyperbolic equations with homogeneous symbols ⋮ Scattering for strictly hyperbolic systems with time-dependent coefficients

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