\(L_p-L_q\) decay estimates for hyperbolic equations with oscillations in coefficients

DOI10.1007/BF02484189zbMath0947.35025OpenAlexW4242588030MaRDI QIDQ1567589

Karen Yagdjian, Michael Reissig

Publication date: 21 June 2000

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02484189

zbMATH Keywords

interplay between the growing and the oscillating part

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Degenerate hyperbolic equations (35L80)

Related Items (4)

\(L^p-L^q\) estimates for wave equations with strong time-dependent oscillations ⋮ On the Klein-Gordon equation with randomized oscillating coefficients on the sphere ⋮ On the quadratic wave equation with randomized oscillating coefficients ⋮ Global analytic solutions of linear problems with shrinking argument. (Solutions analytiques globales de problémes linéaires avec argument absorbant)

Cites Work

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• Estimates for translation invariant operators in \(L^p\) spaces
• \(L^p\)-Abschätzungen und klassische Lösungen für nichtlineare Wellengleichungen. I
• On \(L_2-L_{p'}\) estimates for the wave-equation
• A priori estimates for the wave equation and some applications
• Global existence for nonlinear wave equations
• One application of Floquet's theory toLp-Lq estimates for hyperbolic equations with very fast oscillations
• Fourier transforms of surface-carried measures and differentiability of surface averages

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