충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제27권1호
  • /
  • Pages.17-27
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  • 2014
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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THE SOBOLEV REGULARITY OF SOLUTIONS OF FIRST ORDER NONLINEAR EQUATIONS

  • Kang, Seongjoo (Department of Mathematics Duksung Womens University)
  • 투고 : 2013.08.06
  • 심사 : 2014.01.16
  • 발행 : 2014.02.15
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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 first order nonlinear equations satisfied by a characteristic hyper-surface. In this paper, we study the regularity compositions of the form v(${\varphi}$(x), x) with v and ${\varphi}$ assumed to have limited Sobolev regularities and we use it to prove the regularity of solutions of the first order nonlinear equations.

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참고문헌

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