Characteristically Closed Domains for First Order Strictly Hyperbolic Systems in the Plane
- Authors: Soldatov A.P.1
-
Affiliations:
- Institution of Russian Academy of Sciences Dorodnicyn Computing Centre of RAS 49
- Issue: Vol 232, No 4 (2018)
- Pages: 552-557
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241351
- DOI: https://doi.org/10.1007/s10958-018-3886-x
- ID: 241351
Cite item
Abstract
We consider a first order strictly hyperbolic system of n equations with constant coefficients in a bounded domain. It is assumed that the domain is strictly convex relative to characteristics, so that the projection along each characteristic is an involution having two fixed singular points. The natural statement of boundary value problems for such systems requires that singular points go to singular points under such transformations. We present a necessary and sufficient condition for the existence of such domains, called characteristically closed.
About the authors
A. P. Soldatov
Institution of Russian Academy of Sciences Dorodnicyn Computing Centre of RAS 49
Author for correspondence.
Email: soldatov48@gmail.com
Russian Federation, Vavilov St., Moscow, 119333
Supplementary files
