과제정보
연구 과제 주관 기관 : Korea Research Foundation
충청수학회지 (Journal of the Chungcheong Mathematical Society)
- 제12권1호
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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
초록
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.