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- W2324051499 abstract "In this paper we shall be concerned with two problems: (i) the asymptotic behavior of solutions of parabolic inequalities and (ii) the uniqueness of the Cauchy problem for such inequalities when the data are prescribed on a portion of a time-like surface. The unifying feature of these rather separate problems is the employment of integral estimates of the same type in both cases. We consider parabolic operators in self-adjoint form (1) as well as the non-self-adjoint operator (2) where the coefficients a ij (x, t) = a ij (x 1 , x 2 ... , x n , t) are C 1 functions of x and t and the b ij = b ij (x, t) are C 2 functions of x and t ." @default.
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- W2324051499 date "1961-01-01" @default.
- W2324051499 modified "2023-10-16" @default.
- W2324051499 title "Properties of Solutions of Parabolic Equations and Inequalities" @default.
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- W2324051499 doi "https://doi.org/10.4153/cjm-1961-028-1" @default.
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