ON THE LOCAL SOLVABILITY FOR A NONLINEAR WEAKLY HYPERBOLIC EQUATION WITH ANALYTIC COEFFICIENTS

DOI10.1081/PDE-100002378zbMath0988.35116OpenAlexW2078582380MaRDI QIDQ2747894

Piero D'Ancona, Paola Trebeschi

Publication date: 2 July 2002

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-100002378

zbMATH Keywords

Puiseux seriesNash-Moser theoremLevi condition

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Analyticity in context of PDEs (35A20)

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Finite-time degeneration of hyperbolicity without blowup for quasilinear wave equations ⋮ Energy estimates for a class of degenerate hyperbolic equations ⋮ On the Cauchy problem of degenerate hyperbolic equations ⋮ Degenerate hyperbolic equations with lower degree degeneracy

Cites Work

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• A class of locally solvable semilinear equations of weakly hyperbolic type
• The cauchy problem for weakly hyperbolic equations of second order
• The inverse function theorem of Nash and Moser
• Local existence for semilinear weakly hyperbolic equations with time dependent coefficients