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- W2123204098 abstract "Let (V,g) be a compact Riemannian manifold. For u 2 C 2 (V ) we consider the form gij + riju. If the form is positive definite, it gives a new metric on V. The Monge-Ampere operator on V is the quotient of determinants: M(u) = |gij+riju|/|gij|. The paper deals with the Cauchy problem for the evolutionary Monge-Ampere type equation: @u @t + lnM(u) = f(t,x,u), (t,x) 2 (0,T) ◊ V, u(0,x) = u0(x). Holder estimates for higher order derivatives ut and riju of a solution u are proved." @default.
- W2123204098 created "2016-06-24" @default.
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- W2123204098 date "2004-01-01" @default.
- W2123204098 modified "2023-09-27" @default.
- W2123204098 title "OLDER ESTIMATES OF HIGHER ORDER DERIVATIVES FOR EVOLUTIONARY MONGE-AMPEQUATION ON A RIEMANNIAN MANIFOLD" @default.
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