Global Well-Posedness of the Kirchhoff Equation and Kirchhoff Systems-Reference-Cited by-同舟云学术

Global Well-Posedness of the Kirchhoff Equation and Kirchhoff Systems

Published:2014-11-21 Issue: Volume: Page:81-96
ISSN:2194-1009
Container-title:Springer Proceedings in Mathematics & Statistics
language:
Short-container-title:

Author:

Matsuyama Tokio,Ruzhansky Michael

Publisher

Springer International Publishing

Link

http://link.springer.com/content/pdf/10.1007/978-3-319-12148-2_5

Reference29 articles.

1. A. Arosio, S. Spagnolo, Global solutions to the Cauchy problem for a nonlinear hyperbolic equation, nonlinear partial differential equations and their applications, Collège de France seminar, Vol. VI (Paris, 1982/1983), pp. 1–26, Res. Notes in Math. 109 (Pitman, Boston, MA, 1984).

2. S. Bernstein, Sur une classe d’équations fonctionnelles aux dérivées partielles. Izv. Akad. Nauk SSSR Ser. Mat. 4, 17–27 (1940)

3. E. Callegari, R. Manfrin, Global existence for nonlinear hyperbolic systems of Kirchhoff type. J. Differ. Equ. 132, 239–274 (1996)

4. P. D’Ancona, S. Spagnolo, A class of nonlinear hyperbolic problems with global solutions. Arch. Ration. Mech. Anal. 124, 201–219 (1993)

5. P. D’Ancona, S. Spagnolo, Nonlinear perturbations of the Kirchhoff equation. Comm. Pure Appl. Math. 47, 1005–1029 (1994)

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the convergence of a three-layer semi-discrete scheme for the nonlinear dynamic Kirchhoff string equation;Georgian Mathematical Journal;2022-03-23

2. On the Normal Form of the Kirchhoff Equation;Journal of Dynamics and Differential Equations;2020-10-22

3. On the existence time for the Kirchhoff equation with periodic boundary conditions;Nonlinearity;2019-11-20

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

5. Prediction of Temperature Fields in the System “Casting and a Damp Sandy-Argillaceous Mold”;Solid State Phenomena;2018-10