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

Learn More →

Existence and the Asymptotic Behavior of Generalized Solutions of the Neumann Problem for Second-Order Elliptic Equations in Unbounded Layer Domains

Existence and the Asymptotic Behavior of Generalized Solutions of the Neumann Problem for... Di erential Equations, Vol. 37, No. 12, 2001, pp. 1699{1710. Translated from Di erentsial'nye Uravneniya, Vol. 37, No. 12, 2001, pp. 1618{1628. Original Russian Text Copyright c 2001 by Gasymov, Aslanov. PARTIAL DIFFERENTIAL EQUATIONS Existence and the Asymptotic Behavior of Generalized Solutions of the Neumann Problem for Second-Order Elliptic Equations in Unbounded Layer Domains M. G. Gasymov and G. I. Aslanov Azerbaijan Technical University, Baku, Azerbaijan Received May 18, 2001 Boundary value problems for elliptic equations in unbounded domains were considered in many papers [1{5]. The case of an in nite cylinder (n = 1) and a problem periodic in part of the variables for a second-order elliptic equation are best studied [6]. The existence of solutions was not usually dealt with in previous works, and only the properties of apriori known solutions were analyzed. It was assumed in [5, 6] that such a solution has a nite Dirichlet integral. The Laplace equation on Riemannian manifolds of structure more general than that of a layer was considered in [7]. The present paper continues and develops the studies initiated in [8, 9]. Here we analyze the existence and analytic behavior of a generalized solution of the Neumann problem for a http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Existence and the Asymptotic Behavior of Generalized Solutions of the Neumann Problem for Second-Order Elliptic Equations in Unbounded Layer Domains

Differential Equations , Volume 37 (12) – Oct 9, 2004

Loading next page...
 
/lp/springer-journals/existence-and-the-asymptotic-behavior-of-generalized-solutions-of-the-4CkGypqe0K

References (2)

Publisher
Springer Journals
Copyright
Copyright © 2001 by MAIK “Nauka/Interperiodica”
Subject
Mathematics; Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1023/A:1014463106155
Publisher site
See Article on Publisher Site

Abstract

Di erential Equations, Vol. 37, No. 12, 2001, pp. 1699{1710. Translated from Di erentsial'nye Uravneniya, Vol. 37, No. 12, 2001, pp. 1618{1628. Original Russian Text Copyright c 2001 by Gasymov, Aslanov. PARTIAL DIFFERENTIAL EQUATIONS Existence and the Asymptotic Behavior of Generalized Solutions of the Neumann Problem for Second-Order Elliptic Equations in Unbounded Layer Domains M. G. Gasymov and G. I. Aslanov Azerbaijan Technical University, Baku, Azerbaijan Received May 18, 2001 Boundary value problems for elliptic equations in unbounded domains were considered in many papers [1{5]. The case of an in nite cylinder (n = 1) and a problem periodic in part of the variables for a second-order elliptic equation are best studied [6]. The existence of solutions was not usually dealt with in previous works, and only the properties of apriori known solutions were analyzed. It was assumed in [5, 6] that such a solution has a nite Dirichlet integral. The Laplace equation on Riemannian manifolds of structure more general than that of a layer was considered in [7]. The present paper continues and develops the studies initiated in [8, 9]. Here we analyze the existence and analytic behavior of a generalized solution of the Neumann problem for a

Journal

Differential EquationsSpringer Journals

Published: Oct 9, 2004

There are no references for this article.