On $$C^\infty $$ C ∞ well-posedness of hyperbolic systems with multiplicities

Author:

Garetto Claudia,Ruzhansky Michael

Funder

Engineering and Physical Sciences Research Council

Leverhulme Trust

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference29 articles.

1. Bronshtein, M.D.: The Cauchy problem for hyperbolic operators with characteristics of variable multiplicity. (Russian). Trudy Moskov. Mat. Obshch. 41, 83–99 (1980)

2. Bronshtein, M.D.: The Cauchy problem for hyperbolic operators with characteristics of variable multiplicity. (Russian). Trans. Moscow Math. Soc 1, 87–103 (1982)

3. Colombini, F., Kinoshita, T.: On the Gevrey well posedness of the Cauchy problem for weakly hyperbolic equations of higher order. J. Differ. Equ. 186, 394–419 (2001)

4. Colombini, F., Kinoshita, T.: On the Gevrey wellposedness of the Cauchy problem for weakly hyperbolic equations of 4th order. Hokkaido Math. J. 31, 39–60 (2002)

5. Colombini, F., Spagnolo, S.: An example of a weakly hyperbolic Cauchy problem not well posed in $$C^\infty $$ C ∞ . Acta Math. 148, 243–253 (1982)

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