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Rolling Stones with nonconvex sides I: regularity theory
이기암,Eunjai Rhee 대한수학회 2012 대한수학회지 Vol.49 No.2
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, zhzz) 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.