LEADER 00000nam 22004571i 4500 001 frd00008248 003 CtWfDGI 005 20160205135553.0 006 m eo d 007 cr un ---anuuu 008 160205s2016 xx eo 000 0 eng d 020 9780486160283|q(e-pub) 024 3 9780486160283 040 CtWfDGI|beng|erda|cCtWfDGI 041 1 eng|hrus 050 4 QA316 082 04 515/.3533|223 100 1 Lavrentʹev, M. A.|q(Mikhail Alekseevich),|d1900-1980. 240 10 Variat︠s︡ionnyĭ metod v kraevykh zadachakh dli︠a︡ sistem uravneniĭ ėllipticheskogo tipa.|lEnglish 245 10 Variational Methods for Boundary Value Problems for Systems of Elliptic Equations /|cM. A. Lavrent’ev. 264 1 [Place of publication not identified] :|bDover Publications,|c[2016] 264 4 |c©2016 300 1 online resource (160 pages) 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 506 Access limited to subscribing institutions. 520 In this famous monograph, a distinguished mathematician presents an innovative approach to classical boundary value problems--one that may be used by mathematicians as well as by theoreticians in mechanics. The approach is based on a number of geometric properties of conformal and quasi-conformal mappings and employs the general basic scheme for solution of variational problems first suggested by Hilbert and developed by Tonnelli. The first two chapters cover variational principles of the theory of conformal mapping and behavior of a conformal transformation on the boundary. Chapters 3 and 4 explore hydrodynamic applications and quasiconformal mappings, and the final two chapters address linear systems and the simplest classes of non-linear systems. Mathematicians will take particular interest in the method of the proof of the existence and uniqueness theorems as well as the general theory of quasi-conformal mappings. Theoreticians in mechanics will find the approximate formulas for conformal and quasi-conformal. 538 System requirements: Adobe Digital editions. 588 0 Print version record. 650 0 Fluid dynamics. 650 0 Boundary value problems. 650 0 Conformal mapping. 650 0 Calculus of variations. 650 7 MATHEMATICS / Applied.|2bisacsh 655 0 Electronic books. 700 1 Radok, J. R. M.|q(Jens Rainer Maria) 776 08 |iPrint version:|aLavrentʹev, M. A. (Mikhail Alekseevich), 1900-1980.|tVariational methods for boundary value problems for systems of elliptic equations /|dMineola, NY : Dover Publications, 2006.|z0486450783 (pbk.) |w(DLC)2005058850 914 frd00008248
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