학술저널
EXISTENCE OF SOLUTIONS FOR THE NONLINEAR HYPERBOLIC SYSTEM OF CONSERVATION LAWS IN SEVERAL SPACE VARIABLES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 12, No. 1
-
1999.0873 - 93 (21 pages)
- 0
In this paper we prove the existence of solutions for the nonlinear hyperbolic system of conservation laws in several space variables provided that the initial data are very close to each other. We also give an example and discuss the existence of solutions for large initial data
Abstract
1. Introduction
2. Preliminaries
3. The Proof of Main Theorem
4. Example
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