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Caustics for dissipative semilinear oscillations

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Publication:4954186
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DOI10.1090/memo/0685zbMath0963.35114OpenAlexW4298097850MaRDI QIDQ4954186

Jeffrey Rauch, Jean-Luc Joly, Guy Metivier

Publication date: 28 June 2001

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0685

zbMATH Keywords

symmetric hyperbolic systemhigh-frequency solutionsLagrangian integralsfocusing effects near the causticsnew sharp bounds for the \(L^p\) norm of oscillatory integrals


Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)


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