English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We study the composition of an arbitrary number of Fourier integral operators$A_j$, $j=1,\dots,M$, $M\ge 2$, defined through symbols belonging to theso-called SG classes. We give conditions ensuring that the composition$A_1\circ\cdots\circ A_M$ of such operators still belongs to the same class.Through this, we are then able to show well-posedness in weighted Sobolevspaces for first order hyperbolic systems of partial differential equationswith coefficients in SG classes, by constructing the associated fundamentalsolutions.

Fourier integral operators algebra and fundamental solutions to hyperbolic systems with polynomially bounded coefficients on R^n