Degenerate Kirchhoff equation in ultradifferentiable class

Author:

Hirosawa Fumihiko

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference19 articles.

1. A. Arosio, S. Spagnolo, Global solutions to the Cauchy problem for a nonlinear hyperbolic equation, Nonlinear Partial Differential Equations and Their Applications, Vol. 6, Collège de France Seminar, (Paris, 1982/1983), Research Notes in Mathematics, Vol. 109, Pitman, Boston, MA, 1984, pp. 1–26.

2. Sur une class d’équations fonctionnelles aux dérivées partielles;Bernstein;Izvestia. Akad. Nauk SSSR,1940

3. Sur les équations hyperboliques avec des coefficients qui ne dépendent que du temps;Colombini;Ann. Scuola Norm. Sup. Pisa Cl. Sci.,1979

4. Well-posed in the Gevrey classes of the Cauchy problem for a non-strictly hyperbolic equation with coefficients depending on time;Colombini;Ann. Scuola Norm. Sup. Pisa Cl. Sci.,1983

5. Global solvability for the degenerate Kirchhoff equation with real analytic data;D'Ancona;Invent. Math.,1992

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1. Global solvability for semidiscrete Kirchhoff equation;Mathematical Methods in the Applied Sciences;2024-08-30

2. On the Gevrey well-posedness of the Kirchhoff equation;Journal d'Analyse Mathématique;2019-03

3. A uniqueness result for Kirchhoff equations with non-Lipschitz nonlinear term;Advances in Mathematics;2010-03

4. Spectral gap global solutions for degenerate Kirchhoff equations;Nonlinear Analysis: Theory, Methods & Applications;2009-11

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