Results 221 to 230 of about 2,277 (262)

Elliptic Boundary Value Problems

1996
In Chapters I and II, we presented results that are representative of the large body of theory dealing with singularly perturbed boundary value problems in one space variable. We now move to several space dimensions and encounter technical problems that are much more varied and challenging.
Hans-Görg Roos, Martin Stynes, Lutz Tobiska   +2 more
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Elliptic Boundary Value Problems

2001
The aim of this chapter is to lay the foundation for the control problems discussed in Chapter 6 where the boundary control plays an essential role. Here first elliptic boundary value problems are treated where particular emphasis is placed on the appropriate flexible treatment of essential non-homogeneous boundary conditions.
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Elliptic Boundary-Value Problems

2014
Chapter 2 is concerned with the construction and the convergence analysis of finite difference schemes for elliptic boundary-value problems. One of the key contributions of the chapter is the derivation of optimal-order bounds on the error between the analytical solution and its finite difference approximation for elliptic equations with variable ...
Boško S. Jovanović, Endre Süli
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On a Boundary Value Problem for a Nonlocal Elliptic Equation

Journal of Applied Analysis, 2003
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Fijałkowski, P., Przeradzki, B.
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Elliptic Boundary-Value Problem

1996
Consider an rth-order differential expression with constant coefficients $$ L(D) = \sum\limits_{\left| \mu \right| \leqslant r} {a_\mu D^\mu } $$ where μ = (μ11,…,μ n ) is a multiindex, \(\left| \mu \right| = \mu _1 + \ldots + \mu _{n'} D^\mu = D_1^{\mu _1 } \ldots D_n^{\mu _n } ,D_k = i\partial /\partial x_{k'} x = \left( {x_1 , \ldots ,x_n ...
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SOME BOUNDARY VALUE PROBLEMS ELLIPTIC IN A SUBSPACE

Mathematics of the USSR-Sbornik, 1971
In this paper we study a class of overdetermined systems of partial differential equations with constant coefficients which admit a special extension to elliptic systems. This extension allows us to pose boundary value problems for solutions of the original systems for which the corresponding operator is Noetherian as an operator to the space of right ...
Gudovic, I. S., Krein, S. G.
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Elliptic Boundary Value Problems

2004
This chapter is devoted to general boundary value problems for second-order elliptic differential operators. We begin in Sect. 6.1 with a summary of the basic facts about existence, uniqueness and regularity of solutions of the Dirichlet problem in the framework of Holder spaces.
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Elliptic Equations and Elliptic Boundary Value Problems

2015
In this chapter, we prove main theorems of the general theory of “smooth” elliptic equations and problems.
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Non-Local Elliptic Boundary-Value Problems

Canadian Journal of Mathematics, 1968
Let G be a bounded open set of Rn with a smooth boundary ∂G. We consider the following elliptic boundary-value problem:where A and Bj are, respectively singular integro-differential operators on G and on ∂G, of orders 2m and rj with rj < 2m; Ck are boundary differential operators, and Ljk are linear operators, bounded in a sense to be specified.
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Elliptic boundary value problems in hybrid domains

Functional Analysis and Its Applications, 2004
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