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                    關于白俄羅斯大學Anatolij Antonevich教授學術報告的通知
                    2019-01-14 12:22   審核人:

                    報告題目: ON MULTIPLICATION OF DISTRIBUTIONS

                    報告人Anatolij Antonevich教授

                    報告時間2019115上午9:00點

                    報告地點10號教學樓415會議室

                     

                    報告摘要: The distributions (or generalized functions) were introduced by S.L. Sobolev and L.Schwartz and now the distribution theory is an attractive instrument in analysis of numerous problems in mathematical physics and dierential equations theory. As is known it is impossible to dene the product of arbitrary generalized functions in the classical theory of distributions. This is a crucial obstacle for applying distributions' theory to equations with generalized coecients and non-linear problems. The common approach to solve the problem of multiplication of distributions from a given space of E consists in constructing a dierential algebra G(E), such that its elements preserve general properties of distributions. Such algebras G are called Colombeau type algebras and their elements are called new generalized functions or mnemofunctions. In the talk we present a certain example of the algebra of mnemofunctions and undertake the calculation of products of a number of distributions within the frames of this theory.

                     

                    報告人簡介

                    Anatolij Antonevich教授, Professor in Faculty of Mathematics and Mechanics BSU.

                     

                    理學院

                    20191月14

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