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- W1970781764 abstract "Consider the nonuniformly parabolic operator n n Lu = , a&(x, t)u~Xfj+ : bi(x, t)u2. c(x, t, u)ut + d(x, t)u, i.j=1 i=1 where u, aii, bi, c, d are bounded, real-valued functions defined on a domain D=Qx [0, T]cRn+l. Assume that c(x, t, u) is Lipschitz continuous in I * I' of Ca(D), and that c(x, t, u)_O on D. Sufficient conditions on c are found which guarantee existence of a unique solution u e C2+, to the first initial-boundary value problem Lu=f(x, t), u=?p, on the normal boundary of D, where ' E C2+X. Existence is proved by direct application of a fixed point theorem due to Schauder using existence of a solution to the linear problem as well as a priori estimates." @default.
- W1970781764 created "2016-06-24" @default.
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- W1970781764 date "1974-02-01" @default.
- W1970781764 modified "2023-09-25" @default.
- W1970781764 title "The first initial-boundary value problem for some nonlinear time degenerate parabolic equations" @default.
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- W1970781764 doi "https://doi.org/10.1090/s0002-9939-1974-0336083-1" @default.
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