Local existence for semilinear weakly hyperbolic equations with time dependent coefficients-Reference-Cited by-同舟云学术

Local existence for semilinear weakly hyperbolic equations with time dependent coefficients

Published:1993-11 Issue:9 Volume:21 Page:685-696
ISSN:0362-546X
Container-title:Nonlinear Analysis: Theory, Methods & Applications
language:en
Short-container-title:Nonlinear Analysis: Theory, Methods & Applications

Author:

D'Ancona Piero

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference8 articles.

1. An example of a weakly hyperbolic Cauchy problem not well posed in C∞;Colombini;Acta Math.,1982

2. Well posedness in the Gevrey classes of the Cauchy problem for a nonlinear strictly hyperbolic equation with coefficients depending on time;Colombini;Ann. Scu. norm. sup.,1983

3. On the Cauchy problem for weakly hyperbolic equations of second order;Oleinik;Communs pure appl. Math.,1970

4. The well posed Cauchy problem for hyperbolic operators;Kajitani;Exposé au Seminaire Vaillant,1989

5. D'Ancona P. & Manfrin R., Sufficient conditions for the local solvability of some quasilinear equations of weakly hyperbolic type, Boll. Un. mat. Ital. (to appear).

Cited by 8 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. KdV-type equations in projective Gevrey spaces;Journal de Mathématiques Pures et Appliquées;2023-10

2. Semilinear p-Evolution Equations in Weighted Sobolev Spaces;Springer INdAM Series;2020-11-02

3. Semilinear p-evolution equations in Sobolev spaces;Journal of Differential Equations;2016-05

4. On the loss of regularity for a class of weakly hyperbolic operators;Journal of Mathematical Analysis and Applications;2009-11

5. Oscillatory properties for semilinear degenerate hyperbolic equations of second order;Journal of Mathematical Analysis and Applications;2009-08