On the Cauchy problem for a class of hyperbolic operators with triple characteristics-Reference-Cited by-同舟云学术

On the Cauchy problem for a class of hyperbolic operators with triple characteristics

Published:2020-10-15 Issue: Volume: Page:
ISSN:0035-5038
Container-title:Ricerche di Matematica
language:en
Short-container-title:Ricerche mat

Author:

Barbagallo Annamaria,Esposito Vincenzo

Abstract

AbstractThe Cauchy problem for a class of hyperbolic operators with triple characteristics is analyzed. Some a priori estimates in Sobolev spaces with negative indexes are proved. Subsequently, an existence result for the Cauchy problem is obtained.

Funder

Università degli Studi di Napoli Federico II

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s11587-020-00540-6.pdf

Reference9 articles.

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2. Barbagallo, A., Esposito, V.: Energy estimates for the Cauchy problem associated to a class of hyperbolic operators with double characteristics in presence of transition. Ric. Mat. 64, 243–249 (2015)

3. Barbagallo, A., Esposito, V.: The Cauchy–Dirichlet problem for a class of hyperbolic operators with double characteristics in presence of transition. J. Math. Anal. Appl. 442, 149–170 (2016)

4. Barbagallo, A., Esposito, V.: On hyperbolic equations with double characteristics in the presence of transition. Bound. Value Probl. (2016). https://doi.org/10.1186/s13661-016-0646-z

5. Bernardi, E., Nishitani, T.: On the Cauchy problem for non-effectively hyperbolic operators, the Gevrey $$5$$ well-posedness. J. Anal. Math. 105, 197–240 (2008)

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