Results 241 to 250 of about 106,170 (279)
Some of the next articles are maybe not open access.
SOME BOUNDARY VALUE PROBLEMS ELLIPTIC IN A SUBSPACE
Mathematics of the USSR-Sbornik, 1971In 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.
openaire +2 more sources
Elliptic Boundary-Value Problem
1996Consider 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 ...
openaire +1 more source
Elliptic Boundary Value Problems
2004This 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.
openaire +1 more source
Non-Local Elliptic Boundary-Value Problems
Canadian Journal of Mathematics, 1968Let 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.
openaire +1 more source
Elliptic boundary value problems in hybrid domains
Functional Analysis and Its Applications, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Elliptic Equations and Elliptic Boundary Value Problems
2015In this chapter, we prove main theorems of the general theory of “smooth” elliptic equations and problems.
openaire +1 more source
A Quasi-Linear Elliptic Boundary Value Problem
Canadian Journal of Mathematics, 1966Let Ω be a bounded open set in Euclidean n-space, En. Let α = (α1, … , an) be an n-tuple of non-negative integers;and denote by Qm the set ﹛α| 0 ⩽ |α| ⩽ m}. Denote by x = (x1, … , xn) a typical point in En and putIn this paper we establish, under certain circumstances, the existence of weak and classical solutions of the quasi-linear Dirichlet ...
openaire +1 more source
Recent Results on Nonlinear Elliptic Free Boundary Problems
Vietnam Journal of Mathematics, 2022Fausto Ferrari +2 more
exaly