共查询到20条相似文献,搜索用时 15 毫秒
1.
Duality is applied to study the regularity of solutions to membrane problems with friction. The method consists of the characterization of the regularity of the subdifferentials of the friction functional. Then the regularity of a solution reduces to the regularity of a solution to a related elliptic boundary value problem or to that of an obstacle problem without friction. 相似文献
2.
In this paper we have introduced a new regularity coefficient of time varying discrete linear system. On the base of this coefficient we have characterized the regularity of homogeneous discrete time varying linear systems by nonhomogeneous ones. Moreover we provided bounds for the regularity coefficient in terms of the existing in the literature regularity coefficients. 相似文献
3.
4.
Huynh Van Ngai Nguyen Huu Tron Michel Théra 《Journal of Optimization Theory and Applications》2014,160(2):355-390
The metric regularity of multifunctions plays a crucial role in modern variational analysis and optimization. This property is a key to study the stability of solutions of generalized equations. Many practical problems lead to generalized equations associated to the sum of multifunctions. This paper is devoted to study the metric regularity of the sum of multifunctions. As the sum of closed multifunctions is not necessarily closed, almost all known results in the literature on the metric regularity for one multifunction (which is assumed usually to be closed) fail to imply regularity properties of the sum of multifunctions. To avoid this difficulty, we use an approach based on the metric regularity of so-called epigraphical multifunctions and the theory of error bounds to study the metric regularity of the sum of two multifunctions, as well as some related important properties of variational systems. Firstly, we establish the metric regularity of the sum of a regular multifunction and a pseudo-Lipschitz multifunction with a suitable Lipschitz modulus. These results subsume some recent results by Durea and Strugariu. Secondly, we derive coderivative characterizations of the metric regularity of epigraphical multifunctions associated with the sum of multifunctions. Applications to the study of the behavior of solutions of variational systems are reported. 相似文献
5.
On the weak regularity of semigroup rings 总被引:2,自引:0,他引:2
Fang Li 《Semigroup Forum》1994,48(1):152-162
Sufficient conditions are obtained under which the semigroup ring of a semigroup, in particular, of an inverse semigroup, is weakly regular. For some inverse semigroups and some orthodox semigroups, the necessary and sufficient conditions for the weak regularity of the semigroup rings are found. A problem is mentioned especially which is much more difficult for weak regularity than for regularity. Only a partial solution of this problem is given for weak regularity. 相似文献
6.
Andrea Bonito Jean-Luc Guermond Francky Luddens 《Journal of Mathematical Analysis and Applications》2013
This note establishes regularity estimates for the solution of the Maxwell equations in Lipschitz domains with non-smooth coefficients and minimal regularity assumptions. The argumentation relies on elliptic regularity estimates for the Poisson problem with non-smooth coefficients. 相似文献
7.
In this paper the asymptotic behavior of the Castelnuovo$ndash;Mumford regularity of powers of a homogeneous ideal I is studied. It is shown that there is a linear bound for the regularity of the powers I whose slope is the maximum degree of a homogeneous generator of I, and that the regularity of I is a linear function for large n. Similar results hold for the integral closures of the powers of I. On the other hand we give examples of ideal for which the regularity of the saturated powers is asymptotically not a linear function, not even a linear function with periodic coefficients. 相似文献
8.
In this paper, we study the regularity of weak solution to the incompressible magnetohydrodynamic equations. We obtain some sufficient conditions for regularity of weak solutions to the magnetohydrodynamic equations, which is similar to that of incompressible Navier-Stokes equations. Moreover, our results demonstrate that the velocity field of the fluid plays a more dominant role than the magnetic field does on the regularity of solution to the magneto-hydrodynamic equations. 相似文献
9.
Heinz M. Schättler Héctor J. Sussmann 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1987,38(2):292-301
We outline some recent results on the regularity of optimal controls. We formulate the general regularity problem for open-loop and closed-loop controls, and explain how results for the open-loop case have implications for the closed-loop case as well. We then describe a number of results on the regularity of open-loop controls.Partially supported by a fellowship from the Alfred P. Sloan Foundation.Partially supported by NSF Grant No. DMS83-01678-01. 相似文献
10.
We study the regularity criteria for weak solutions to the incompressible magnetohydrodynamic equations. Some regularity criteria are obtained for weak solutions to the magnetohydrodynamic equations, which generalize the results in [C. He, Z. Xin, On the regularity of solutions to the magneto-hydrodynamic equations, J. Differential Equations 213 (2) (2005) 235-254]. Our results reveal that the velocity field of the fluid plays a more dominant role than the magnetic field does on the regularity of solutions to the magnetohydrodynamic equations. 相似文献
11.
12.
Yun Wang 《Journal of Mathematical Analysis and Applications》2007,328(2):1082-1086
In this paper, we study the regularity criterion for weak solutions to the incompressible magnetohydrodynamic equations. We derive the regularity of weak solutions in the marginal class. Moreover, our result demonstrates that the velocity field of the fluid plays a more dominant role than the magnetic field does on the regularity of solutions to the magnetohydrodynamic equations. 相似文献
13.
Paul Godin 《Journal of Differential Equations》2002,183(1):224-238
We give a complete discussion of the C∞ or analytic regularity of blow-up curves for Cauchy problems or some mixed problems for the Liouville equation in one space dimension. In the case of mixed problems, the regularity results depend on the boundary condition: actually, we show the existence of a sequence of boundary conditions for which the regularity of the blow-up curve is better than in the general case. 相似文献
14.
T. N. Shilkin 《Journal of Mathematical Sciences》2000,98(6):781-797
The boundary regularity of solutions to some boundary-value problems describing stationary flow of generalized Newtonian liquids
is studied. The dissipative potential is of quadratic growth at infinity. We prove that the second-order derivatives of the
solution are pth power summable functions, where p is greater than two. The partial regularity of the strain velocity tensor
is established. In the two-dimensional case, the complete regularity of the strain velocity tensor is also proved. Bibliography:
14 titles.
Translated fromProblemy Matematicheskogo Analiza, No. 18, 1998, pp. 222–246. 相似文献
15.
Branko Ćurgus 《Integral Equations and Operator Theory》1985,8(4):462-488
In this note necessary and sufficient conditions for the regularity of the critical point infinity of a definitizable operator A are given. Using these criteria it is proved that the regularity of the critical point infinity is preserved under some additive perturbations as well as for some operators which are related to A. Applications to indefinite Sturm-Liouville problems are indicated. 相似文献
16.
In this paper, we study the linear separation between a set and a convex cone. We introduce the concepts of regularity and total regularity of the separation with respect to a face of the cone and we give theorems characterizing them. 相似文献
17.
通过数值方法,研究边界充分(逐段)光滑区域上的二维波动方程在部分Dirichlet边界控制下的正则性问题.数值结果表明:在所选条件下,系统是Salamon-Weiss意义下正则的. 相似文献
18.
Pigong Han 《Applications of Mathematics》2012,57(5):427-444
In this paper we establish interior regularity for weak solutions and partial regularity for suitable weak solutions of the perturbed Navier-Stokes system, which can be regarded as generalizations of the results in L. Caffarelli, R. Kohn, L. Nirenberg: Partial regularity of suitable weak solutions of the Navier-Stokes equations, Commun. Pure. Appl. Math. 35 (1982), 771–831, and S. Takahashi, On interior regularity criteria for weak solutions of the Navier-Stokes equations, Manuscr. Math. 69 (1990), 237–254. 相似文献
19.
We use a characterization of the fractional Laplacian as a Dirichlet to Neumann operator for an appropriate differential equation
to study its obstacle problem. We write an equivalent characterization as a thin obstacle problem. In this way we are able
to apply local type arguments to obtain sharp regularity estimates for the solution and study the regularity of the free boundary. 相似文献
20.
T. N. Shilkin 《Journal of Mathematical Sciences》1998,92(6):4386-4403
Boundary-value problems describing the stationary flow of a generalized Newtonian liquid are considered. The regularity of
solutions to such problems is studied near the boundary. The W
2
2
-estimate for a solution and the partial regularity of the strain velocity tensor are established. In the two-dimensional
case, the complete regularity of the strain velocity tensor is also proved. Bibliography: 12 titles.
Translated fromProblemy Matematicheskogo Analiza, No. 16. 1997, pp. 239–265. 相似文献