Acknowledgement
Supported by : Korea Research Foundation
Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 12 Issue 1
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- Pages.73-93
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- 1999
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
EXISTENCE OF SOLUTIONS FOR THE NONLINEAR HYPERBOLIC SYSTEM OF CONSERVATION LAWS IN SEVERAL SPACE VARIABLES
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Lee, Choon Ho
(Department of Mathematics Hoseo University)
- Received : 1999.06.30
- Published : 1999.07.31
Abstract
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.