共查询到20条相似文献,搜索用时 31 毫秒
1.
N. O. Maksimova 《Journal of Mathematical Sciences》2004,120(3):1407-1410
It is proved in this article that any generalized solution of a sufficiently general class of elliptic-type differential inequalities in
n
that is non-negative almost everywhere in
n
and vanishes almost everywhere on an open set
n
is trivial in
n
. 相似文献
2.
Dr. Alexander Kovačec 《Monatshefte für Mathematik》1981,92(1):19-35
We shall develop a method to prove inequalities in a unified manner. The idea is as follows: It is quite often possible to find a continuous functional :
n
, such that the left- and the right-hand side of a given inequality can be written in the form (u)(v) for suitable points,v=v(u). If one now constructs a map
n
n
, which is functional increasing (i.e. for each x
n
(which is not a fixed point of ) the inequality (x)<((x)) should hold) one specially gets the chain (u)(
u))(
2(u))...
n
(u)). Under quite general conditions one finds that the sequence {
n
(u)}
n converges tov=v(u). As a consequence one obtains the inequality (u)(v). 相似文献
3.
Letp(1, ). In this paper, the authors investigate the uniformL
p
(
n
) in of the oscillatory singular integral operatorT
defined by
where , is a real analytic function or a real-C
function on
n
×
n
, C
0
(
n
×
n
) andk is a variable Calderón-Zygmund kernel. Moreover, the uniform boundedness in of the commutators generated byT
and BMO(
n
) functions onL
p
(
n
) is also obtained.The research is supported in part by the NNSF and the SEDF of China. 相似文献
4.
R. M. Bianchini 《Journal of Optimization Theory and Applications》1986,50(1):69-82
A linear autonomous control system in
n
is said to be completely controllable iff there existsT>0 such that eachx
n
can be steered to anyy
n
in timeT. This paper presents a geometric characterization of this property in the case in which there are constraints on the values which the control maps can assume. A necessary and sufficient condition to get instant controllability (i.e., complete controllability for anyT>0) is also derived. This condition generalizes the well-known Kalman condition to the constrained case. 相似文献
5.
Many global optimization problems can be formulated in the form min{c(x, y): x X, y Y, (x, y) Z, y G} where X, Y are polytopes in
p
,
n
, respectively, Z is a closed convex set in p+n, while G is the complement of an open convex set in
n
. The function c:
p+n
is assumed to be linear. Using the fact that the nonconvex constraints depend only upon they-variables, we modify and combine basic global optimization techniques such that some new decomposition methods result which involve global optimization procedures only in
n
. Computational experiments show that the resulting algorithms work well for problems with smalln. 相似文献
6.
Jose Seade 《Bulletin of the Brazilian Mathematical Society》1996,27(2):199-215
This note gives a method for constructing real analytic maps from 2n
into 2, with an isolated critical point at 0 2n
, for alln>1. This provides infinite families of real singularities which fiber a la Milnor.Research partially supported by CONACYT, Mexico, grant 1206-E92103. 相似文献
7.
Letu be a function on
m
×
n
, wherem2 andn2, such thatu(x, .) is subharmonic on
n
for each fixedx in
m
andu(.,y) is subharmonic on
m
for each fixedy in
n
. We give a local integrability condition which ensures the subharmonicity ofu on
m
×
n
, and we show that this condition is close to being sharp. In particular, the local integrability of (log+
u
+)
m+n–2+ is enough to secure the subharmonicity ofu if >0, but not if <0. 相似文献
8.
For C a bounded, injective operator with dense image, we define a C-regularized spectral distribution. This produces a functional calculus, f f(B), from C() into the space of closed densely defined operators, such that f(B)C is bounded when f has compact support. As an analogue of Stone's theorem, we characterize certain regularized spectral distributions as corresponding to generators of polynomially bounded C-regularized groups. We represent the regularized spectral distribution in terms of the regularized group and in terms of the C-resolvent. Applications include the Schrödinger equation with potential, and symmetric hyperbolic systems, all on Lp(n) (1p<), C
o(n), BUC(n), or any space of functions where translation is a bounded strongly continuous group. 相似文献
9.
We investigate the multidimensional equations
j=1
q
Aj(x)y(x+e
j
)=f(x),e
j
n wherex n andA
j
: n Hom(
p
,
m
),f : n m are given maps. Sufficient conditions for smooth and analytic solvability for anyf C
k
,k are found.Research partially supported by the Israel Ministry of ScienceAMS classification 39B Functional equations 相似文献
10.
Klaus Schmidt 《Probability Theory and Related Fields》1984,68(1):75-95
Summary LetT be a non-singular ergodic automorphism of a Lebesgue space (X,L,) and letf: X be a measurable function. We define the notion of recurrence of such a functionf and introduce the recurrence setR(f)={:f– is recurrent}. If
, then R()={0}, but in general recurrence sets can be very complicated. We prove various conditions for a number to lie in R(f) and, more generally, forR(f) to be non-empty. The results in this paper have applications to the theory of random walks with stationary increments. 相似文献
11.
Evelyne Bernadac 《Journal of Theoretical Probability》1995,8(2):221-259
In this paper we introduce the inverse Gaussian and Wishart distributions on the cone of real (n, n) symmetric positive definite matricesH
n
+
() and more generally on an irreducible symmetric coneC. Then we study the convergence of random continued fractions onH
n
+
() andC by means of real Lagrangians forH
n
+
() and by new algebraic identities on symmetric cones forC. Finally we get a characterization of the inverse Gaussian distribution onH
n
+
() andC. 相似文献
12.
A. DeSimone G. Friesecke 《Calculus of Variations and Partial Differential Equations》1996,4(3):293-304
We study the behaviour of sequences of elastic deformationsy
n
n
whose gradients approach two linearized wells, and give an application to magnetostriction.This article was processed by the author using the style filepljour1m from Springer-Verlag. 相似文献
13.
Dr. Christoph Kopf 《Monatshefte für Mathematik》1976,81(2):119-129
Every elementary Markov process with a polish state space and with a discrete set of time parameter dense in +, whose finite dimensional distributions are derived from a semigroup (K
t) of Markov kernels continuous in 0 + and whose initial distribution satisfies K
t, can be imbedded in an elementary Markov process with the same state space and with parameter set + so that the corresponding finite dimensional distributions are equal. 相似文献
14.
Dr. Peter Schöpf 《Monatshefte für Mathematik》1977,83(4):331-337
For any set ofn+1 pointsx
1, ...,x
n+1F we denote byv(C(x
1,...,x
n+1)) then-dimensional oriented volume of the convex hullC(x
1,...,x
n+1) of these points. With a fixed symmetric functionf: >> strictly monotone increasing on the nonnegative real line, we consider the real functional RODEL on the set of all convex bodiesK of n with absolute volume |v(K)|=1 and assert, that it takes its minimal value on the ellipsoids with absolute volume 1. 相似文献
15.
S. Helbig 《Mathematical Methods of Operations Research》1991,35(3):197-220
A vector optimization problem is given by a feasible setZ
n
, a vector-valued objective functionf:
n
l
, and an ordering coneC
l
. We perturb the ordering cone in such a way that the weakly efficient points of the perturbed vector optimization problem given byZ, f, and the perturbed cone are efficient points of the original problem. Especially this means that scalarization methods, which compute in general only weakly efficient points, determine efficient points of the original problem, when they were applied to the perturbed problem.It turns out that the efficient points are the limits of weakly efficient points of the perturbed problems, letting the perturbation tend to zero. On the basis of this, a reference point algorithm is formulated. Finally, we apply this algorithm to a structural optimization problem. 相似文献
16.
Dr. J. D. Stegeman 《Monatshefte für Mathematik》1976,82(4):337-340
It is proved that closed subgroups of
n
are Wiener-Ditkin sets for the Beurling algebrasL
1
(
n
), <1. 相似文献
17.
Markus Stroppel 《Geometriae Dedicata》1993,45(1):93-99
In [4], K. Strambach describes a 2-dimensional stable plane
admitting =SL2 as a group of automorphisms such that there exists no -equivarient embedding into a 2-dimensional projective plane. R. Löwen [3] has given a 4-dimensional analogue
, admitting =SL2. He posed the question whether there are embeddings of Strambach's plane
into
. We show that such embeddings exist, in fact we determine all -equivariant embeddings of 2-dimensional stable planes admitting as atransitive group of automorphisms. 相似文献
18.
Let x=g(t,x(t),u(t)) be the governing equation of an optimal control problem with two-point boundary conditions h
0(x(a))+h
1(x(b)) = 0, where x: [a,b]
n
is continuous, u: [a,b]
k-n
is piecewise continuous and left continuous, h0,h1:
n
q
are continuously differentiable, and g:[a,b]×
k
n
is continuous. The paper finds functions
i
C1([a,b]×
n
) such that (x(t),u(t)) is a solution of the governing equation if and only if
相似文献
19.
Yu. G. Shondin 《Theoretical and Mathematical Physics》1995,105(1):1189-1200
Elementary self-adjoint perturbations of the Laplacian supported by curves with singular angle points in 3 and 4 are studied. The perturbations are shown to be semibounded in 3 and not semibounded in 4. In the latter case semiboundedness may take place in subspaces with a given symmetry, as simple examples illustrate.Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 105, No. 1, pp. 3–17, October, 1995. 相似文献
20.
Characterization of v-sufficiency from the Newton filtration 总被引:2,自引:0,他引:2
Ould M Abderrahmane 《manuscripta mathematica》2005,117(1):93-103
The aim of this paper is to study the germ mappings : (n, 0)(p, 0), more precisely, we formulate certain criteria for the v-sufficiency related to the Newton polyhedron. Our result implies in particular the criteria for v-sufficiency due to Kuo and Paunescu.This research was supported by the Japan Society for the Promotion of Science.Mathematics Subject Classification (2000): 14B05;58A35 相似文献