共查询到20条相似文献,搜索用时 15 毫秒
1.
Juncheng Wei 《manuscripta mathematica》1998,96(1):113-131
We obtain necessary conditions for the existence of two-peaked solutions of singularly perturbed elliptic equations. These
conditions are related to the geometry of the domain. In particular, we prove there are no two-peaked solutions in a strictly
convex domain.
Received: 20 January 1997 / Revised version: 2 December 1997 相似文献
2.
In the framework of values for TU-games, it is shown that a particular type of consistency, called linear consistency, together
with some kind of standardness for two-person games, imply efficiency, anonymity, linearity, as well as uniqueness of the
value. Among others, this uniform treatment generalizes Sobolev's axiomatization of the Shapley value.
Revised version: December 2001 相似文献
3.
Among the several types of closures of an ideal I that have been defined and studied in the past decades, the integral closure has a central place being one of the earliest and most relevant. Despite this role, it is often a difficult challenge to
describe it concretely once the generators of I are known. Our aim in this note is to show that in a broad class of ideals their radicals play a fundamental role in testing
for integral closedness, and in case , is still helpful in finding some fresh new elements in . Among the classes of ideals under consideration are: complete intersection ideals of codimension two, generic complete intersection
ideals, and generically Gorenstein ideals.
Received: 28 July 1997 相似文献
4.
D.J. Frantzeskakis A. Ioannidis G.F. Roach I.G. Stratis A.N. Yannacopoulos 《Applicable analysis》2013,92(9):839-856
We study the equations modelling the evolution of electromagnetic fields in chiral media with dispersion. We prove existence and uniqueness of solutions of these equations and provide estimates for the error of the optical response approximation for chiral media. 相似文献
5.
Shu Nakamura 《Journal of Functional Analysis》2003,205(1):180-205
We show that the Schrödinger propagator can be expanded in terms of resonances at energy levels at which a barrier separates the interaction region from infinity. The expansions hold for all times with errors small in the semi-classical parameter. As a byproduct we obtain a result on the approximation of clusters of resonant states by clusters of eigenfunctions of a self-adjoint reference operator. 相似文献
6.
We use a method recently devised by Bolle to establish the existence of an infinite number of solutions for various non-homogeneous
boundary value problems. In particular, we consider second order systems, Hamiltonian systems as well as semi-linear partial
differential equations. The non-homogeneity can originate in the equation but also from the boundary conditions. The results
are more satisfactory than those obtained by the standard “Perturbation from Symmetry” method that was developed – in various forms – in the early eighties by Bahri–Berestycki, Struwe and Rabinowitz.
Received: 13 August 1998 / Revised version: 6 July 1999 相似文献
7.
E. M. E. Zayed 《Applicable analysis》2013,92(9):905-925
The asymptotic expansions of the trace of the heat kernel for small positive t, where λν are the eigenvalues of the negative Laplacian in Rn (n=2 or 3), are studied for a general annular bounded domain Ω with a smooth inner boundary ?Ω1 and a smooth outer boundary ?Ω2 where a finite number of piecewise smooth Dirichlet, Neumann and Robin boundary conditions on the components Γ j (j=1,…,m) of ?Ω1 and on the components of ?Ω2 are considered such that and and where the coefficients in the Robin boundary conditions are piecewise smooth positive functions. Some applications of Θ (t) for an ideal gas enclosed in the general annular bounded domain Ω are given. 相似文献
8.
9.
Terence Tao 《Mathematische Zeitschrift》2001,238(2):215-268
Recently Wolff [25] obtained a nearly sharp bilinear restriction theorem for bounded subsets of the cone in general dimension. We obtain the endpoint of Wolff's estimate and generalize to the case when one of the subsets is large. As a consequence, we are able to deduce some nearly-sharp null form estimates. Received: 24 September 1999 / in final form: 25 April 2000 / Published online: 4 May 2001 相似文献
10.
《复变函数与椭圆型方程》2012,57(7):607-614
Let Φ be a bounded positive continuous function in the complex plane C. We will consider the following problem. We can find a simply connected region Ω containing the origin such that the Riemann mapping function f Ω mapping the unit disk D onto Ω will satisfy <artwork name="GCOV31013eu1"> We show that there is a unique solution which is starlike with respect to the origin when Φ satisfies <artwork name="GCOV31013eu2"> We also show that if in addtion, ?Φ/?|w|>0 and ?log Φ is subharmonic, then Ω will be a convex region. 相似文献
11.
Noriko Mizoguchi 《Mathematische Zeitschrift》2002,239(2):215-229
This paper is concerned with a Cauchy problem
where and is a nonnegative radially symmetric function in with compact support. Denote the solution of (P) by . Let if and $p^{\ast} = 1+6/(N-10) N \geq 11 p_{\ast} < p < p^{\ast} \lambda_{\varphi} > 0 $ such that:
(i) If $ \lambda < \lambda_{\varphi} u_{\lambda} $ exists globally in time in the classical sense and converges to zero locally uniformly in as .
(ii) If , then $ u_{\lambda} $ blows upincompletely in finite time.
(iii) If , then blows upcompletely in finite time.
Received: 20 December 1999; in final form: 26 May 2000 / Published online: 4 May 2001 相似文献
12.
Kenneth S. Alexander 《Probability Theory and Related Fields》1998,110(4):441-471
Summary. For lattice models on ℤ
d
, weak mixing is the property that the influence of the boundary condition on a finite decays exponentially with distance
from that region. For a wide class of models on ℤ2, including all finite range models, we show that weak mixing is a consequence of Gibbs uniqueness, exponential decay of an
appropriate form of connectivity, and a natural coupling property. In particular, on ℤ2, the Fortuin-Kasteleyn random cluster model is weak mixing whenever uniqueness holds and the connectivity decays exponentially,
and the q-state Potts model above the critical temperature is weak mixing whenever correlations decay exponentially, a hypothesis satisfied
if q is sufficiently large. Ratio weak mixing is the property that uniformly over events A and B occurring on subsets Λ and Γ, respectively, of the lattice, |P(A∩B)/P(A)P(B)−1| decreases exponentially in the distance between Λ and Γ. We show that under mild hypotheses, for example finite range,
weak mixing implies ratio weak mixing.
Received: 27 August 1996 / In revised form: 15 August 1997 相似文献
13.
Changyu Xia 《Monatshefte für Mathematik》1999,128(2):165-171
Let M be an n-dimensional simply connected Hadamard manifold with Ricci curvature satisfying and be a bounded domain having smooth boundary. In this paper, we prove that the first n nonzero Neumann eigenvalues of the Laplacian on Ω satisfy , where is a computable constant depending only on and , Ω being the volume of Ω. This result generalizes the corresponding estimate for bounded domains in a Euclidean space obtained
recently by M. S. Ashbaugh and R. D. Benguria.
(Received 19 May 1998; in revised form 21 September 1998) 相似文献
14.
Richard Warlimont 《Monatshefte für Mathematik》2000,129(1):63-81
Results of Arnold Knopfmacher about the distribution of the degrees of irreducible factors in the canonical decomposition of monic polynomials in ? q [X] are generalized to additive arithmetical semigroups (G,∂) satisfying a weak condition called axiom ? (Received 25 August 1998; in revised form 7 June 1999) 相似文献
15.
《复变函数与椭圆型方程》2012,57(3):227-228
In [] the authors constructed, for each r∈ (0,1), a function from a homogeneous tree of degree 2t to the open unit disk in the complex plane mapping the root of the tree to 0 and any pair of neighbors to points at hyperbolic distance r. Correspondingly, there is a free group of rank t of Möbius transformations such that the vertices of the tree are mapped to the orbit of 0, and the edges to geodesic arcs. One of the principal results of [] is to show that this function is an embedding of the tree when cos(π /2t)≤ r<1. This corrigendum fills a gap in the argument. 相似文献
16.
A Volterra type integral equation in a Hilbert space with an additional linear operator L and a spectral parameter depending
on time is considered. If the parameter does not belong to the spectrum of L unconditional solvability of the considered problem
is proved. In the case where the initial value of the parameter coincides with some isolated point of the spectrum of the
operator L sufficient conditions for solvability are established. The obtained results are applied to the partial integral
equations associated with a contact problem of the theory of elasticity. 相似文献
17.
G. Mints 《Archive for Mathematical Logic》1998,37(5-6):415-425
We describe a natural deduction system NDIL for the second order intuitionistic linear logic which admits normalization and has a subformula property. NDIL is an extension of the system for !-free multiplicative linear logic constructed by the author and elaborated by A. Babaev.
Main new feature here is the treatment of the modality !. It uses a device inspired by D. Prawitz' treatment of S4 combined
with a construction introduced by the author to avoid cut-like constructions used in -elimination and global restrictions employed by Prawitz. Normal form for natural deduction is obtained by Prawitz translation
of cut-free sequent derivations.
Received: March 29, 1996 相似文献
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20.
Carl Mueller 《Probability Theory and Related Fields》1998,110(1):51-68
Summary. Let ? be the circle [0,J] with the ends identified. We prove long-time existence for the following equation.
Here, =(t,x) is 2-parameter white noise, and we assume that u
0(x) is a continuous function on ?. We show that if g(u) grows no faster than C
0(1+|u|)γ for some γ<3/2, C
0>0, then this equation has a unique solution u(t,x) valid for all times t>0.
Received: 27 November 1996 / In revised form: 28 July 1997 相似文献