Well posedness in the C∞ class for utt=a(u)Δu

Author:

Manfrin Renato

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference22 articles.

1. Global existence for abstract evolution equations of weakly hyperbolic type;Arosio;J. Math. pures et Appl.,1986

2. An example of a weakly hyperbolic Cauchy problem not well posed inC∞;Colombini;Acta Math.,1982

3. Well posedness in the Gevrey classes of the Cauchy problem for a nonlinear strictly hyperbolic equation with coefficients depending on time;Colombini;Ann. Sc. Norm. Sup.,1983

4. Non-uniqueness in hyperbolic Cauchy problem;Colombini;Ann. Math.,1987

5. P. D’Ancona, Well posedness inC∞ for a weakly hyperbolic second order equation, Rend. Sem. Mat. Univ. Padova, 91 (1994) 65–83.

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