Andrzej Pliś (March 17, 1929[1] – November 28, 1991[2]) was a Polish mathematician, specializing in differential equations and optimal control theory.
Education and careeredit
Pliś received his undergraduate degree from the Jagiellonian University, where he studied from 1947 to 1951.[3] He received his PhD from the Mathematical Institute of the Polish Academy of Sciences, where his thesis advisor was Tadeusz Ważewski.[4] Pliś did research and taught at both the Jagiellonian University and the Mathematical Institute of the Polish Academy of Sciences. He was promoted in 1961 to associate professor and in 1966 to full professor. In 1961 he was elected a member of the Polish Academy of Sciences.[3] In 1962 he was an Invited Speaker at the International Congress of Mathematicians in Stockholm.[5]
Pliś published about 60 research papers.[3] Perhaps his two most famous papers are The problem of uniqueness for the solution of a system of partial differential equations (1954) and A smooth linear elliptic differential equation without any solution in a sphere (1961).[6][7] His paper Characteristics of nonlinear partial differential equations (1954) gave an elegant solution to an unsolved problem which Alfréd Haar worked on in 1929.[3] Another noteworthy paper by Pliś is On a topological method for studying the behaviour of the integrals of ordinary differential equations (1954).[8]
Selected publicationsedit
Pliś,, A. (1954). "The problem of uniqueness for the solution of a system of partial differential equations". Bull. Acad. Polon. Sci. Cl. III (2): 55–57.{{cite journal}}: CS1 maint: multiple names: authors list (link)
Pliś,, A. (1954). "On a topological method for studying the behaviour of the integrals of ordinary differential equations". Bull. Acad. Polon. Sci. Cl. III (2): 415–418.{{cite journal}}: CS1 maint: multiple names: authors list (link)
Pliś, A. (1954). "Characteristics of nonlinear partial differential equations". Bull. Acad. Polon. Sci. Cl. III (2): 419–422.
Plis, A. (1959). Non-uniqueness in Cauchy's Problem. Air Force Office of Scientific Research Technical Note 59-1034, Project 47500. Mathematics Division, Office of Scientific Research, U. S. Air Force.
Pliś, A. (1960). "Non-uniqueness in Cauchy's Problem for Differential Equations of Elliptic Type". Journal of Mathematics and Mechanics. 9 (4): 557–562. JSTOR 24900954.
Pliś, A. (1961). "A smooth linear elliptic differential equation without any solution in a sphere". Communications on Pure and Applied Mathematics. 14 (3): 599–617. doi:10.1002/cpa.3160140331.
Pliś, Andrzej (1964). "On sets filled by asymptotic solutions of differential equations" (PDF). Annales de l'Institut Fourier. 14 (1): 191–194. doi:10.5802/aif.169.
Olech, C.; Pliś, A. (1967). "Monotonicity assumption in uniqueness criteria for differential equations" (PDF). Colloquium Mathematicum. 18 (1). Institute of Mathematics, Polish Academy of Sciences: 43–58. doi:10.4064/cm-18-1-43-58.
Kowalski, Z.; Pliś, A. (1972). "Difference inequalities of the elliptic type" (PDF). Annales Polonici Mathematici. 26 (3). Institute of Mathematics Polish Academy of Sciences: 239–251. doi:10.4064/ap-26-3-239-251.
Pliś, A. (1975). "Accessible Sets in Control Theory". International Conference on Differential Equations. pp. 646–650. doi:10.1016/B978-0-12-059650-8.50052-1. ISBN9780120596508.
Pliś, A. (1981). "Path Integrals and Partial Differential Equations". Recent Advances in Differential Equations. pp. 373–378. doi:10.1016/B978-0-12-186280-0.50031-1. ISBN9780121862800.
Łojasiewicz, S.; Pliś, A.; Suarez, R. (1985). "Necessary conditions for a nonlinear control system". Journal of Differential Equations. 59 (2): 257–265. Bibcode:1985JDE....59..257L. doi:10.1016/0022-0396(85)90157-3.
Pliś, Andrzej; Zastawniak, Tomasz (1992). "Relativistic quantum mechanics for two interacting particles in one-time representation". Reports on Mathematical Physics. 31 (3): 317–327. Bibcode:1992RpMP...31..317P. doi:10.1016/0034-4877(92)90022-S. ISSN 0034-4877.
Referencesedit
^The Review of the Polish Academy of Sciences. Assolineum. 1977. p. 124.
^Pliś, A. (1962). "Unique continuation theorems for solutions of partial differential equations". Proc. Internat. Congr. Mathematicians (Stockholm, 1962). Vol. 1. pp. 397–402.
^Morrey Jr., Charles B. (1962). "Some recent developments in the theory of partial differential equations". Bulletin of the American Mathematical Society. 68 (4): 279–298. doi:10.1090/S0002-9904-1962-10765-4. ISSN 0002-9904. (See p. 283; In Morrey's article De Georgi is erroneously referred to as "Di Georgi".)
^A Pure Soul: Ennio De Giorgi, A Mathematical Genius. Springer. 18 March 2019. p. 32. ISBN9783030053031.
^Handbook of Differential Equations: Ordinary Differential Equations. Elsevier. 9 September 2004. pp. 608 & 683. ISBN9780080532820.
January 01, 1970
andrzej, pliś, march, 1929, november, 1991, polish, mathematician, specializing, differential, equations, optimal, control, theory, education, career, editpliś, received, undergraduate, degree, from, jagiellonian, university, where, studied, from, 1947, 1951, . Andrzej Plis March 17 1929 1 November 28 1991 2 was a Polish mathematician specializing in differential equations and optimal control theory Education and career editPlis received his undergraduate degree from the Jagiellonian University where he studied from 1947 to 1951 3 He received his PhD from the Mathematical Institute of the Polish Academy of Sciences where his thesis advisor was Tadeusz Wazewski 4 Plis did research and taught at both the Jagiellonian University and the Mathematical Institute of the Polish Academy of Sciences He was promoted in 1961 to associate professor and in 1966 to full professor In 1961 he was elected a member of the Polish Academy of Sciences 3 In 1962 he was an Invited Speaker at the International Congress of Mathematicians in Stockholm 5 Plis published about 60 research papers 3 Perhaps his two most famous papers are The problem of uniqueness for the solution of a system of partial differential equations 1954 and A smooth linear elliptic differential equation without any solution in a sphere 1961 6 7 His paper Characteristics of nonlinear partial differential equations 1954 gave an elegant solution to an unsolved problem which Alfred Haar worked on in 1929 3 Another noteworthy paper by Plis is On a topological method for studying the behaviour of the integrals of ordinary differential equations 1954 8 Selected publications editPlis A 1954 The problem of uniqueness for the solution of a system of partial differential equations Bull Acad Polon Sci Cl III 2 55 57 a href Template Cite journal html title Template Cite journal cite journal a CS1 maint multiple names authors list link Plis A 1954 On a topological method for studying the behaviour of the integrals of ordinary differential equations Bull Acad Polon Sci Cl III 2 415 418 a href Template Cite journal html title Template Cite journal cite journal a CS1 maint multiple names authors list link Plis A 1954 Characteristics of nonlinear partial differential equations Bull Acad Polon Sci Cl III 2 419 422 Plis A 1959 Non uniqueness in Cauchy s Problem Air Force Office of Scientific Research Technical Note 59 1034 Project 47500 Mathematics Division Office of Scientific Research U S Air Force Plis A 1960 Non uniqueness in Cauchy s Problem for Differential Equations of Elliptic Type Journal of Mathematics and Mechanics 9 4 557 562 JSTOR 24900954 Plis A 1961 A smooth linear elliptic differential equation without any solution in a sphere Communications on Pure and Applied Mathematics 14 3 599 617 doi 10 1002 cpa 3160140331 Plis Andrzej 1964 On sets filled by asymptotic solutions of differential equations PDF Annales de l Institut Fourier 14 1 191 194 doi 10 5802 aif 169 Olech C Plis A 1967 Monotonicity assumption in uniqueness criteria for differential equations PDF Colloquium Mathematicum 18 1 Institute of Mathematics Polish Academy of Sciences 43 58 doi 10 4064 cm 18 1 43 58 Kowalski Z Plis A 1972 Difference inequalities of the elliptic type PDF Annales Polonici Mathematici 26 3 Institute of Mathematics Polish Academy of Sciences 239 251 doi 10 4064 ap 26 3 239 251 Plis A 1975 Accessible Sets in Control Theory International Conference on Differential Equations pp 646 650 doi 10 1016 B978 0 12 059650 8 50052 1 ISBN 9780120596508 Plis A 1981 Path Integrals and Partial Differential Equations Recent Advances in Differential Equations pp 373 378 doi 10 1016 B978 0 12 186280 0 50031 1 ISBN 9780121862800 Lojasiewicz S Plis A Suarez R 1985 Necessary conditions for a nonlinear control system Journal of Differential Equations 59 2 257 265 Bibcode 1985JDE 59 257L doi 10 1016 0022 0396 85 90157 3 Plis Andrzej Zastawniak Tomasz 1992 Relativistic quantum mechanics for two interacting particles in one time representation Reports on Mathematical Physics 31 3 317 327 Bibcode 1992RpMP 31 317P doi 10 1016 0034 4877 92 90022 S ISSN 0034 4877 References edit The Review of the Polish Academy of Sciences Assolineum 1977 p 124 Lojasiewicz S 1993 Andrzej Plis 17 3 1929 28 11 1991 Annales Polonici Mathematici 58 2 107 109 doi 10 4064 ap 58 2 107 109 ISSN 0066 2216 a b c d Lojasiewicz S 1993 In Memoriam Andrzej Plis 1929 1991 PDF Journal of Differential Equations 103 1 1 2 Bibcode 1993JDE 103 1L doi 10 1006 jdeq 1993 1039 ISSN 0022 0396 Andrzej Plis at the Mathematics Genealogy Project Plis A 1962 Unique continuation theorems for solutions of partial differential equations Proc Internat Congr Mathematicians Stockholm 1962 Vol 1 pp 397 402 Morrey Jr Charles B 1962 Some recent developments in the theory of partial differential equations Bulletin of the American Mathematical Society 68 4 279 298 doi 10 1090 S0002 9904 1962 10765 4 ISSN 0002 9904 See p 283 In Morrey s article De Georgi is erroneously referred to as Di Georgi A Pure Soul Ennio De Giorgi A Mathematical Genius Springer 18 March 2019 p 32 ISBN 9783030053031 Handbook of Differential Equations Ordinary Differential Equations Elsevier 9 September 2004 pp 608 amp 683 ISBN 9780080532820 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