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Rolling Stones with nonconvex sides I: regularity theory

이기암|Eunjai Rhee
대한수학회 (The Korean Mathematical Society)|2012.03|대한수학회지 (Journal of the KMS)|제49권 제2호|pp. 265-291

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참고문헌

키워드

free boundary problemdegenerate fully nonlinear equationsrolling stone
주제분류수학

초록

In this paper, we consider the regularity theory and the exis-tence of smooth solution of a degenerate fully nonlinear equation describ-ing the evolution of the rolling stones with nonconvex sides:{M(h) = ht - F(t, z, z hzz) in f 0 < z ≤ 1}× [0,T]ht(z, t) = H(hz(z, t), h) on f z = 0 g:We establish the Schauder theory for C2,α-regularity of h.

Abstract

In this paper, we consider the regularity theory and the exis-tence of smooth solution of a degenerate fully nonlinear equation describ-ing the evolution of the rolling stones with nonconvex sides:{M(h) = ht - F(t, z, z hzz) in f 0 < z ≤ 1}× [0,T]ht(z, t) = H(hz(z, t), h) on f z = 0 g:We establish the Schauder theory for C2,α-regularity of h.

참고문헌 (23)

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