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http://hdl.handle.net/123456789/13213
Title: | CONSTRUCTION OF THE FUNDAMENTAL SOLUTION OF A CLASS OF DEGENERATE PARABOLIC EQUATIONS OF HIGH ORDER |
Authors: | Буртняк, Іван Володимирович |
Keywords: | degenerated parabolic equations,modified Levy’smethod, Kolmogorov’s equation, fundamental solution, parametrix |
Issue Date: | 2020 |
Abstract: | In the article, using the modified Levy method, a Green’s function for a class of ultraparabolic equations of high order with an arbitrary number of parabolic degeneration groups is constructed. The modified Levy method is developed for high-order Kolmogorov equations with coefficients depending on all variables, while the frozen point, which is a parametrix, is chosen so that an exponential estimate of the fundamental solution and its derivatives is conveniently used. |
URI: | http://hdl.handle.net/123456789/13213 |
Appears in Collections: | Навчальні матеріали (ЕФ) |
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3871-PDF файл-8114-2-10-20200621.pdf | 135.19 kB | Adobe PDF | View/Open |
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