Fourier integral operators algebra and fundamental solutions to hyperbolic systems with polynomially bounded coefficients on $$\mathbb {R}^n$$ R n-Reference-Cited by-同舟云学术

Fourier integral operators algebra and fundamental solutions to hyperbolic systems with polynomially bounded coefficients on $$\mathbb {R}^n$$ R n

Published:2015-09-10 Issue:4 Volume:6 Page:521-565
ISSN:1662-9981
Container-title:Journal of Pseudo-Differential Operators and Applications
language:en
Short-container-title:J. Pseudo-Differ. Oper. Appl.

Author:

Ascanelli Alessia,Coriasco Sandro

Funder

INdAM

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s11868-015-0132-x.pdf

Reference31 articles.

1. Andrews, G.D.: SG Fourier integral operators with closure under composition. Dissertation, Imperial College, London (2009)

2. Ascanelli, A., Cappiello, M.: Log-Lipschitz regularity for $$SG$$ S G hyperbolic systems. J. Differ. Equ. 230, 556–578 (2006)

3. Ascanelli, A., Cappiello, M.: Hölder continuity in time for $$SG$$ S G hyperbolic systems. J. Differ. Equ. 244, 2091–2121 (2008)

4. Ascanelli, A., Cappiello, M.: The Cauchy problem for finitely degenerate hyperbolic equations with polynomial coefficients. Osaka J. Math. 47(2), 423–438 (2010)

5. Ascanelli, A., Cappiello, M.: Weighted energy estimates for p-evolution equations in SG classes. J. Evol. Equ. (2015). doi: 10.1007/s00028-015-0274-6

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