A pseudo differential operator which shifts the wave front set-Reference-Cited by-同舟云学术

A pseudo differential operator which shifts the wave front set

Published:1978 Issue:2 Volume:72 Page:251-257
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Parenti Cesare,Rodino Luigi

Abstract

The note concerns pseudo differential operators in the classes L ρ , 1 m , 0 > ρ ⩽ 1 L_{\rho ,1}^m,0 > \rho \leqslant 1 . These operators are pseudo-local, but they can displace the wave front set of distributions, as we show by means of an example in L 1 , 1 0 L_{1,1}^0 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1978-072-02/S0002-9939-1978-0507317-9/S0002-9939-1978-0507317-9.pdf

Reference4 articles.

1. A general calculus of pseudodifferential operators;Beals, Richard;Duke Math. J.,1975

2. Fourier integral operators. I;Hörmander, Lars;Acta Math.,1971

3. On the existence and the regularity of solutions of linear pseudo-differential equations;Hörmander, Lars;Enseign. Math. (2),1971

4. Pseudo-differential operators;Nirenberg, L.,1970

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