共查询到20条相似文献,搜索用时 0 毫秒
1.
2.
I. A. Bikchantaev 《Differential Equations》2014,50(2):220-225
For the solutions of an elliptic equation with constant coefficients, we prove uniqueness theorems that generalize the classical boundary uniqueness theorems for analytic functions. 相似文献
3.
Summary Reflection principles, analogous to the classicalSchwarz reflection principle for harmonic functions, are obtained for solutions of linear elliptic second order partial differential
equations with constant coefficients. The boundary conditions employed are supposed to be satisfied in a limiting sense only,
and do not require (a priori) the existence of derivatives on the boundary.
To Mauro Picone on his 70th birth day.
This research was supported in part by the United States Air Force under Contract No. AF(600)-573 — monitored by the Office of Scientific Research, Air Research and Development Command.
The work of this author was sponsored by the Office of Ordnance Research, U.S. Army, under the Contract DA-36-034-ORD-1486. 相似文献
4.
Three-spheres theorem for second order elliptic equations 总被引:1,自引:0,他引:1
Raymond Brummelhuis 《Journal d'Analyse Mathématique》1995,65(1):179-206
5.
Dalia Sabina Cîmpean 《Applied mathematics and computation》2010,217(8):4141-4146
We obtain a result on stability of the linear differential equation of higher order with constant coefficients in Aoki-Rassias sense. As a consequence we obtain the Hyers-Ulam stability of the above mentioned equation. A connection with dynamical sytems perturbation is established. 相似文献
6.
I. A. Bikchantaev 《Differential Equations》2011,47(2):278-282
For the solutions of the elliptic equation
$
\sum\limits_{k = 0}^n {A_k \frac{{\partial ^n f}}
{{\partial x^{n - k} \partial y^k }} = 0}
$
\sum\limits_{k = 0}^n {A_k \frac{{\partial ^n f}}
{{\partial x^{n - k} \partial y^k }} = 0}
相似文献
7.
8.
Foiad Sobhi Obaid 《Ukrainian Mathematical Journal》1998,50(3):498-506
We show that a solution of the Dirichlet problem for an elliptic equation of the fourth order with constant coefficients,
whose right-hand side is periodic in all variables except one and exponentially decreases, converges at infinity to a certain
polynomial of the first degree in the nonperiodic variable. Coefficients of this polynomial are determined.
Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50,
No. 3, pp. 437–444, March, 1998. 相似文献
9.
Maurizio Chicco 《Annali di Matematica Pura ed Applicata》1972,92(1):13-22
Summary I give a sufficient condition in order that a Dirichlet problem is solvable in H
2
(Ω) for a class of linear second order elliptic partial differential equations. Such a class includes some particular cases
for which the result is known.
Sunto Si prova una condizione sufficiente affinchè un problema di Dirichlet sia risolubile in H 2 (Ω) per una classe di equazioni differenziali alle derivate parziali lineari ellittiche del secondo ordine. Tale classe comprende alcuni casi particolari per i quali il risultato è noto. The present work was written while the author was a member of the ? Centro di Matematica e Fisica Teorica del C.N.R. ? at the University of Genova, directed by professorJ. Cecconi. Entrata in Redazione il 25 febbraio 1971. 相似文献 10.
11.
We study the inverse problems of finding the coefficients of a linear elliptic equation for various boundary conditions in a prescribed rectangle. The existence, uniqueness, and stability theorems are proved for solutions to the inverse problems for the particular statements under study in the paper. An iterative method is employed to construct a regularization algorithm for solving the inverse problems. 相似文献
12.
Xiaofei Guan Mingxia Li Wenming He Zhengwu Jiang 《Central European Journal of Mathematics》2014,12(11):1733-1747
In this paper, some superconvergence results of high-degree finite element method are obtained for solving a second order elliptic equation with variable coefficients on the inner locally symmetric mesh with respect to a point x 0 for triangular meshes. By using of the weak estimates and local symmetric technique, we obtain improved discretization errors of O(h p+1 |ln h|2) and O(h p+2 |ln h|2) when p (≥ 3) is odd and p (≥ 4) is even, respectively. Meanwhile, the results show that the combination of the weak estimates and local symmetric technique is also effective for superconvergence analysis of the second order elliptic equation with variable coefficients. 相似文献
13.
14.
15.
16.
Uniqueness for diffusions with piecewise constant coefficients 总被引:1,自引:0,他引:1
Summary LetL be a second-order partial differential operator inR
d. LetR
d be the finite union of disjoint polyhedra. Suppose that the diffusion matrix is everywhere non singular and constant on each polyhedron, and that the drift coefficient is bounded and measurable. We show that the martingale problem associated withL is well-posed.The research of this author was partly supported by NSF Grant DMS 8500581 相似文献
17.
Stephan Dahlke 《manuscripta mathematica》1998,95(1):59-77
This paper is concerned with some theoretical foundations for adaptive numerical methods for elliptic boundary value problems.
The approximation order that can be achieved by such an adaptive method is determined by certain Besov regularity of the weak
solution. We study Besov regularity for second order elliptic problems in bounded domains in ℝ
d
. The investigations are based on intermediate Schauder estimates and on some potential theoretic framework. Moreover, we
use characterizations of Besov spaces by wavelet expansions.
This work has been supported by the Deutsche Forschungsgemeinschaft (Da 360/1-1) 相似文献
18.
Lih-Ing Wu Roeger Ronald E. Mickens 《Journal of Difference Equations and Applications》2013,19(10):1663-1670
An exact finite difference equation for the n-th order linear differential equation with real, constant coefficients is constructed. The exact finite difference scheme is expressed differently but equivalent to that given by Potts [3]. 相似文献
19.
|