伊萬·格奧爾基耶維奇·彼得羅夫斯基（俄語：Ива́н Гео́ргиевич Петро́вский，羅馬化：Iván Geórgiyevich Petróvskiy；1901年1月18日—1973年1月15日）是蘇聯數學家，主要從事偏微分方程領域的研究。他對解決希爾伯特第19和第16問題做出了巨大貢獻，並發現了現在稱為彼得羅夫斯基空白的方程式。他還研究了邊值問題、概率論以及代數曲線和曲面的拓撲學。
精選刊物
- Petrovsky, I. G., Über das Cauchysche Problem für Systeme von partiellen Differentialgleichungen, Recueil Mathématique (Matematicheskii Sbornik), 1937, 2 (44) (5): 815–870, JFM 63.0466.03, Zbl 0018.40503 （德語）.
- Petrovsky, I. G., Sur l'analyticité des solutions des systèmes d'équations différentielles, Recueil Mathématique (Matematicheskii Sbornik), 1939, 5 (47) (1): 3–70, JFM 65.0405.02, MR 0001425, Zbl 0022.22601 （法語）.
- Petrovsky, I. G., On the diffusion of waves and the lacunas for hyperbolic equations, Recueil Mathématique (Matematicheskii Sbornik), 1945,, 17 (59) (3): 289–368, MR 0016861, Zbl 0061.21309.
- Petrovsky, I. G., Vorlesungen über die Theorie der Integralgleichungen, Würzburg: Physica Verlag, 1953[1]
- Petrovsky, I. G., Lectures on partial differential equations, New York: Interscience, 1954[2]
- Petrovsky, I. G., Vorlesungen über der gewöhnlichen Differentialgleichungen, Teubner, 1954
- Petrovsky, I. G., Lectures on the theory of integral equations, Rochester: Graylock, 1957[3]
- Petrowsky, I. G., Oleinik, O. A. , 編, Selected works. Part I: Systems of partial differential equations and algebraic geometry, Classics of Soviet Mathematics, 5 (part 1), 阿姆斯特丹: Gordon and Breach Publishers, 1996, ISBN 978-2-88124-978-5, MR 1677652, Zbl 0948.01042.
- Petrowsky, I. G., Oleinik, O. A. , 編, Selected works. Part II: Differential equations and probability theory, Classics of Soviet Mathematics, 5 (part 2), 阿姆斯特丹: Gordon and Breach Publishers, 1996, ISBN 978-2-88124-979-2, MR 1677648, Zbl 0948.01043.
參考資料
外部連結
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