Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Boundary value problems for a mixed-type equation in domains with a doubly connected hyperbolicity subdomain

Boundary value problems for a mixed-type equation in domains with a doubly connected... Differential Equations, ~bl. 36, No. 10. 2000, pp. 1502 1.506. Tran~,lated from Different,sial'nye Uravneniya, Ibl. 36, No. 10. 2000, pp. 1361-136J. Original Russian Text Copyright @ 2000 by Lernor, Ret)in. PARTIAL DIFFERENTIAL EQUATIONS Boundary Value Problems for a Mixed-Type Equation in Domains with a Doubly Connected Hyperbolicity Subdomain M. E. Lerner and O. A. Repin Samara State l~chnicttl University. Samara, Russia S'.mara State Econon)ic Academ'!l. Samara, R'ussia Received June 11. 2000 For all equation of the nfixed tyl)e. ~x" 1)ose and uniquely solve (ill closed form) boundary value problems in infinite domains with a doubly commcted hyI)erbolicity subdomain. 1. Consider the Lavrent'ev-Bitsadze equation LB u = u,..,. + sgn y. uy., = 0 (1) in tile domain D = D1 U I U De. where Dt is the open first quadrant, I is the positive part of the abscissa axis, and De is the difference of the open characteristic triangle D O = O~AoCo and the closed characteristic triangle Go =/~O0,AolC01. Here Oo(0: 0), Ao(l: 0). Co(1/2: -1/2). 00,(3/8;-1/8), Ao, (5/8; - 1/8). Co, (1/2: -1/4). G(1/2;o), So(a/& 0); 21Io. No E O,,G,: Ko, Qo, Po E AoCo; finally. EoOm21/0, SoAo,Co~No. S(,I(o. EoAolQo, and OolColPo are segments of characteristics http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Boundary value problems for a mixed-type equation in domains with a doubly connected hyperbolicity subdomain

Differential Equations , Volume 36 (10) – Nov 17, 2007

Loading next page...
 
/lp/springer-journals/boundary-value-problems-for-a-mixed-type-equation-in-domains-with-a-xuk3RVwD6X

References (0)

References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.

Publisher
Springer Journals
Copyright
Copyright © 2000 by MAIK “Nauka/Interperiodica”
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1007/BF02757390
Publisher site
See Article on Publisher Site

Abstract

Differential Equations, ~bl. 36, No. 10. 2000, pp. 1502 1.506. Tran~,lated from Different,sial'nye Uravneniya, Ibl. 36, No. 10. 2000, pp. 1361-136J. Original Russian Text Copyright @ 2000 by Lernor, Ret)in. PARTIAL DIFFERENTIAL EQUATIONS Boundary Value Problems for a Mixed-Type Equation in Domains with a Doubly Connected Hyperbolicity Subdomain M. E. Lerner and O. A. Repin Samara State l~chnicttl University. Samara, Russia S'.mara State Econon)ic Academ'!l. Samara, R'ussia Received June 11. 2000 For all equation of the nfixed tyl)e. ~x" 1)ose and uniquely solve (ill closed form) boundary value problems in infinite domains with a doubly commcted hyI)erbolicity subdomain. 1. Consider the Lavrent'ev-Bitsadze equation LB u = u,..,. + sgn y. uy., = 0 (1) in tile domain D = D1 U I U De. where Dt is the open first quadrant, I is the positive part of the abscissa axis, and De is the difference of the open characteristic triangle D O = O~AoCo and the closed characteristic triangle Go =/~O0,AolC01. Here Oo(0: 0), Ao(l: 0). Co(1/2: -1/2). 00,(3/8;-1/8), Ao, (5/8; - 1/8). Co, (1/2: -1/4). G(1/2;o), So(a/& 0); 21Io. No E O,,G,: Ko, Qo, Po E AoCo; finally. EoOm21/0, SoAo,Co~No. S(,I(o. EoAolQo, and OolColPo are segments of characteristics

Journal

Differential EquationsSpringer Journals

Published: Nov 17, 2007

There are no references for this article.