On the loss of regularity for a class of weakly hyperbolic operators

DOI10.1016/j.jmaa.2009.05.026zbMath1178.35260OpenAlexW2076446253MaRDI QIDQ2272038

José R. dos Santos Filho, Rafael Augusto dos Santos Kapp, Marcelo Rempel Ebert

Publication date: 5 August 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.05.026

zbMATH Keywords

energy methodLevi conditionsSobolev scaleoptimal loss of regularityquasilinear weakly hyperbolic operators

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (1)

Existence of solution for the \(n\)-dimension second order semilinear hyperbolic equations

Cites Work

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• NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED
• Local existence for semilinear weakly hyperbolic equations with time dependent coefficients

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