학술논문
THE SOBOLEV REGULARITY OF SOLUTIONS OF FIRST ORDER NONLINEAR EQUATIONS
이용수 2
- 영문명
- 발행기관
- 충청수학회
- 저자명
- Seongjoo Kang
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 27, No. 1, 17~27쪽, 전체 11쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2014.02.28
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국문 초록
영문 초록
In order to study the propagation of singularities for solutions to second order quasilinear strictly hyperbolic equations
with boundary, we have to consider the regularity of solutions of ¯rst order nonlinear equations satis¯ed by a characteristic hyper-surface. In this paper, we study the regularity compositions of the form v( (x); x) with v and assumed to have limited Sobolev reg-ularities and we use it to prove the regularity of solutions of the¯rst order nonlinear equations.
목차
1. Introduction
2. Regularity of solutions of ¯rst order nonlinear equations
키워드
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