共查询到20条相似文献,搜索用时 31 毫秒
1.
Salvatore A. Marano 《Set-Valued Analysis》1996,4(3):287-300
Let be a bounded domain in n (n3) having a smooth boundary, let be an essentially bounded real-valued function defined on × h, and let be a continuous real-valued function defined on a given subset Y of Y h. In this paper, the existence of strong solutions u W
2,p (, h) W
o
1,p
(n/2<p<+) to the implicit elliptic equation (–u)=(x,u), with u=(u1, u2, ..., uh) and u=(u
1, u
2, ..., u
h), is established. The abstract framework where the problem is placed is that of set-valued analysis. 相似文献
2.
Let {n}
n=0
be the eigenvalue sequence of a symmetric Hilbert-Schmidt operator onL
2(I). WhenI is an open interval, a necessary condition for {n}
n=0
to be in the sequence space is obtained. WhenI is a closed bounded interval, sufficient conditions for {n}
n=0
to be in the sequence space – are obtained. 相似文献
3.
V. N. Sudakov 《Mathematical Notes》1973,14(4):886-888
Let X and Y be locally compact-compact topological spaces, F X×Y is closed, and P(F) is the set of all Borel probability measures on F. For us to find, for the pair of probability measures (x, y P (X)×P(Y), a probability measure P(F) such that
X
=
X
–1
,
Y
=
Y
–1
it is necessary and sufficient that, for any pair of Borel sets A X, B Y for which (A× B) F=Ø, the condition
XA+
YB 1 holds.Translated from Matematicheskie Zametki, Vol. 14, No. 4, pp. 573–576, October, 1973. 相似文献
4.
Р. С. Юлмухаметов 《Analysis Mathematica》1985,11(3):257-282
The following statement is proved. Letu be a subharmonic function in the region and
u
the associated measure. Then there exists a functionf holomorphic in and such that if
f
is the associated measure of the function in ¦f¦, then ¦u(z)–ln¦f(z)¦ A¦ln s¦+B¦ln diam¦+ s(¦lns¦+1)+C. hold at every point z for which the setsD(z, t)={w: ¦w–z¦},t(0,s) lie in and satisfy(D(z, t))t both for=
u
and for=
f
. In the case where is an unbounded region, In diam should be replaced by ln ¦z¦. The constants, , do not depend on andu.
. . . 相似文献
. . . 相似文献
5.
We study the question of the number of linearly independent solutions of the equationy
(n) (x)+(Fy) (x)+n
y (x)=0,x [0, 1], in which F is a bounded linear operator acting on various normed function spaces. A number of assertions about the asymptotic behavior of these solutions with respect to , tending to infinity are established.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 11, pp. 1460–1469, November, 1990. 相似文献
6.
A Strong Maximum Principle for some quasilinear elliptic equations 总被引:37,自引:0,他引:37
J. L. Vázquez 《Applied Mathematics and Optimization》1984,12(1):191-202
In its simplest form the Strong Maximum Principle says that a nonnegative superharmonic continuous function in a domain
n
,n 1, is in fact positive everywhere. Here we prove that the same conclusion is true for the weak solutions of – u + (u) = f with a nondecreasing function ,(0)=0, andf0 a.e. in if and only if the integral((s)s)
–1/2
ds diverges ats=0+. We extend the result to more general equations, in particular to –
p
u + (u) =f where
p
(u) = div(|Du|
p-2
Du), 1 <p < . Our main result characterizes the nonexistence of a dead core in some reaction-diffusion systems.This work was partly done while the author was visiting the University of Minnesota as a Fulbright Scholar. 相似文献
7.
Angel Rodríguez Palacios 《manuscripta mathematica》1988,61(3):297-314
A complex Banach spaceA which is also an associative algebra provided with a conjugate linear vector space involution * satisfying (a
2)*=(a
*)2, aa
*
a=a3 and ab+ba2ab for alla, b inA is shown to be a C*-algebra. The assumptions onA can be expressed in terms of the Jordan algebra obtained by symmetrization of the product ofA and are satisfied by any C*-algebra. Thus we obtain a purely Jordan characterization of C*-algebras. 相似文献
8.
N. S. Faour 《Acta Mathematica Hungarica》1999,84(3):237-243
Let D be the open unit disk in C, and L
h
2
the space of quadratic integrable harmonic functions defined on D. Let
be a function in L(D) with the property that (b) = lim
x
b,xD (x) for all b D. Define the operator C on L
h
2
as follows: C(f) = Q( · f), where Q is the orthogonal projection of L2(D) onto L
h
2
. In this paper it is shown that if C is Fredholm, then is bounded away from zero on a neighborhood of D. Also, if C is compact, then |D 0, and the commutator ideal of (D) is K(D), where (D) denotes the norm closed subalgebra of the algebra of all bounded operators on L
h
2
generated by
, and K(D) is the ideal of compact operators on L
h
2
. Finally, the spectrum of classes of operators defined on L
h
2
is characterized. 相似文献
9.
L
p
, 0<<1, . 相似文献
10.
M. B. Nathanson 《Acta Mathematica Hungarica》2000,87(3):179-195
Let A be a set of positive integers with gcd (A) = 1, and let p
A
(n) be the partition function of A. Let c
0 = 2/3. If A has lower asymptotic density and upper asymptotic density , then lim inf log p
A
(n)/c
0 n and lim sup log p
A
(n)/c
0 n . In particular, if A has asymptotic density > 0, then log p
A
(n) c0n. Conversely, if > 0 and log p
A
(n) c
0 n, then the set A has asymptotic density . 相似文献
11.
Gert K. Pedersen 《Inventiones Mathematicae》1978,45(3):299-305
For each*-derivation of a separableC
*-algebraA and each >0 there is an essential idealI ofA and a self-adjoint multiplierx ofI such that (–ad(ix))|I< and x. 相似文献
12.
We consider solutions of the class of ODEs y=6y
2–x
, which contains the first Painlevé equation (PI) for =1. It is well known that PI has a unique real solution (called a tritronquée solution) asymptotic to
and decaying monotonically on the positive real line. We prove the existence and uniqueness of a corresponding solution for each real nonnegative 1. 相似文献
13.
The functional equation of multiplicative derivation is superstable on standard operator algebras 总被引:2,自引:0,他引:2
Peter Šemrl 《Integral Equations and Operator Theory》1994,18(1):118-122
LetX be a real or complex infinite dimensional Banach space andA a standard operator algebra onX. Denote byB(X) the algebra of all bounded linear operators onX. Let : + + be a function with the property lim
t (t)t
–1=0. Assume that a mappingD:A B(X) satisfies D(AB)–AD(B)–D(A)B<(A B) for all operatorsA, B D (no linearity or continuity ofD is assumed). ThenD is of the formD(A)=AT–TA for someTB(X).This work was supported by the Research Council of Slovenia 相似文献
14.
D. J. Daley 《Probability Theory and Related Fields》1977,41(2):139-143
Summary For a non-negative random variable X and 1 such that EX<, E(X-Y)
+
/{E(X-y)
+}+ is monotonic-decreasing in y, and hence no smaller than EX
. Inequalities for E(X-Y)
+
E(, 1, y, z0) are also given. This relation enables an inequality of Kingman for the mean waiting time in a stationary GI/G/1 queue to be sharpened.Work done as Visiting Fellow, Department of Statistics, University of Melbourne 相似文献
15.
René L. Schilling 《Journal of Theoretical Probability》1998,11(2):303-330
Let {X
t}
t0 be a Feller process generated by a pseudo-differential operator whose symbol satisfiesÇn|q(Ç,)|c(1=)()) for some fixed continuous negative definite function (). The Hausdorff dimension of the set {X
t:tE}, E [0, 1] is any analytic set, is a.s. bounded above by dim E. is the Blumenthal–Getoor upper index of the Levy Process associated with (). 相似文献
16.
Wolfgang Adamski 《Monatshefte für Mathematik》1987,103(3):169-176
LetE be a vector lattice of real-valued functions defined on a setX, and (E):={{f1}:fE}. Among others, it is shown that, under some additional assumptions onE, every measure that integrates all functionsfE is (E)--smooth iffX is (E)-complete. An application of this general result to various topological situations yields some new measure-theoretic characterizations of realcompact, Borel-complete andN-compact spaces, respectively. 相似文献
17.
Régis de la Bretèche 《Compositio Mathematica》2001,128(3):261-298
We estimate some sums of the shape
S(X
1,..., X
m
):=1 d1 X1...1 dm Xm
f(d
1,..., d
m
)when m N and f is a nonnegative arithmetical function. We relate them to the behaviour of the associated Dirichlet series
F(s
1,..., s
m
) =
d1 = 1 ...
dm = 1
f(d
1,..., d
m
)/d
1
s1 ... d
m
sm.The main aim of this work is to develop analytic tools to count the rational points of bounded height on toric varieties. 相似文献
18.
Bolesław Gaweł 《Aequationes Mathematicae》1996,52(1):55-71
Summary In the paper we consider, from a topological point of view, the set of all continuous functionsf:I I for which the unique continuous solution:I – [0, ) of(f(x)) (x, (x)) and(x, (x)) (f(x)) (x, (x)), respectively, is the zero function. We obtain also some corollaries on the qualitative theory of the functional equation(f(x)) = g(x, (x)).
No assumption on the iterative behaviour off is imposed. 相似文献
19.
Frank Zorzitto 《Aequationes Mathematicae》1985,29(1):172-174
A discrete norm on an Abelian groupA is a non-negative function · A which satisfies the triangle inequality, is homogenous with respect to scaling ofA by and is bounded away from 0 onA/{0}.A countable Abelian group is discretely normed if and only if the group is free. 相似文献
20.
We consider a functional differential equation (1) (t)=F(t,) fort[0,+) together with a generalized Nicoletti condition (2)H()=. The functionF: [0,+)×C
0[0,+)B is given (whereB denotes the Banach space) and the value ofF (t, ) may depend on the values of (t) fort[0,+);H: C
0[0,+)B is a given linear operator and B. Under suitable assumptions we show that when the solution :[0,+)B satisfies a certain growth condition, then there exists exactly one solution of the problem (1), (2). 相似文献