Displaying similar documents to “ L ∞ -estimate for solutions of nonlinear parabolic systems”

L ∞ -estimates for solutions of nonlinear parabolic systems with gradient linear growth

Wojciech Zajączkowski (1996)

Banach Center Publications

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Existence of weak solutions and an L ∞ -estimate are shown for nonlinear nondegenerate parabolic systems with linear growth conditions with respect to the gradient. The L ∞ -estimate is proved for equations with coefficients continuous with respect to x and t in the general main part, and for diagonal systems with coefficients satisfying the Carathéodory condition.

The Lucas congruence for Stirling numbers of the second kind

Roberto Sánchez-Peregrino (2000)

Acta Arithmetica

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0. Introduction. The numbers introduced by Stirling in 1730 in his Methodus differentialis [11], subsequently called “Stirling numbers” of the first and second kind, are of the greatest utility in the calculus of finite differences, in number theory, in the summation of series, in the theory of algorithms, in the calculation of the Bernstein polynomials [9]. In this study, we demonstrate some properties of Stirling numbers of the second kind similar to those satisfied by binomial coefficients;...

The 2-Sylow subgroups of the tame kernel of imaginary quadratic fields

Hourong Qin (1995)

Acta Arithmetica

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1. Introduction. Let F be a number field and O F the ring of its integers. Many results are known about the group K ₂ O F , the tame kernel of F. In particular, many authors have investigated the 2-Sylow subgroup of K ₂ O F . As compared with real quadratic fields, the 2-Sylow subgroups of K ₂ O F for imaginary quadratic fields F are more difficult to deal with. The objective of this paper is to prove a few theorems on the structure of the 2-Sylow subgroups of K ₂ O F for imaginary quadratic fields F. In our Ph.D....