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181.
Óscar Ciaurri 《Rendiconti del Circolo Matematico di Palermo》2004,53(2):231-234
A transference theorem for multipliers of Hermite expansions is proved. The result allows to transfer weightedL
2(ℝ
n
) estimates from lower to higher dimensions.
Research of the author supported by grant BFM2003-06335-603-03 of the D.G.I.. 相似文献
182.
We study the following complex Ginzburg-Landau equation with cubic nonlinearity on for under initial and Dirichlet boundary conditions u(x,0)=h(x) for x∈Ω, u(x,t)=Q(x,t) on ∂Ω where h,Q are given smooth functions. Under suitable conditions, we prove the existence of a global solution in H1. Further, this solution approaches to the solution of the NLS limit under identical initial and boundary data as a,b→0+. 相似文献
183.
H.?IshikawaEmail author J.?M.?ThuswaldnerEmail author 《Abhandlungen aus dem Mathematischen Seminar der Universit?t Hamburg》2004,74(1):11-32
Matsuoka showed an asymptotic formula for the coefficients of the Laurent expansion of ζ (s) at s = 1. In the present paper we extend this result to a large class of Dirichlet series which was first studied by Chandrasekharan
and Narasimhan. Our proofs are based on a saddle point argument and use the fact that the Dirichlet series under consideration
admit a functional equation.
The second author was supported by the FWF project S381O. 相似文献
184.
185.
Konstantin M Dyakonov 《Advances in Mathematics》2004,187(1):146-172
We discuss the implication , where f is a holomorphic function (resp., a quasiconformal mapping) on a domain (resp., ) and Λω(G) is the Lipschitz space associated with a majorant ω. 相似文献
186.
In the 3-dimensional de Sitter Space
, a surface is said to be a
spherical (resp. hyperbolic or parabolic) rotation surface, if it is a orbit of a
regular curve under the action of the orthogonal transformations of the 4-dimensional
Minkowski space
which leave a timelike (resp. spacelike or degenerate) plane
pointwise fixed. In this paper, we give all spacelike and timelike Weingarten rotation
surfaces in
. 相似文献
187.
An Implementation for the Algorithm of Janet bases of Linear Differential Ideals in the Maple System
Shan-qingZhang Zhi-binLi 《应用数学学报(英文版)》2004,20(4):605-616
In this paper, an algorithm for computing the Janet bases of linear differential equations is described, which is the differential analogue of the algorithm JanetBasis improved by Gerdt. An implementation of the algorithm in Maple is given. The implemented algorithm includes some subalgorithms: Janet division,Pommaret division, the judgement of involutive divisor and reducible, the judgement of conventional divisor and reducible, involutive normal form and conventional normal form, involutive autoreduction and conventional autoreduction, PJ-autoreduction and so on. As an application, the Janet Bases of the determining system of classical Lie symmetries of some partial differential equations are obtained using our package. 相似文献
188.
In the Hardy space over the unit disk H2(D), every shift-invariant
subspace M is of the form H2(D)) for some inner function by Beurlings
theorem, and the reproducing kernel of M is
. The fact that is inner implies that
is subharmonic and has
boundary value 1 almost everywhere on T. In the two variable space H2(D2),
things are far more complicated and there is no similar characterization of
invariant subspaces M in terms of inner functions. However, we will show in
this paper an analogous phenomenon in terms of reproducing kernels, namely,
is subharmonic and has boundary value 1
almost everywhere on T2. The proof uses an index theorem obtained recently. 相似文献
189.
David?EschwéEmail author Matthias?LangerEmail author 《Integral Equations and Operator Theory》2004,49(3):287-321
Variational principles for eigenvalues of certain functions whose values
are possibly unbounded self-adjoint operators T() are proved. A generalised
Rayleigh functional is used that assigns to a vector x a zero of the
function T()x, x), where it is assumed that there exists at most one zero.
Since there need not exist a zero for all x, an index shift may occur. Using
this variational principle, eigenvalues of linear and quadratic polynomials
and eigenvalues of block operator matrices in a gap of the essential spectrum
are characterised. Moreover, applications are given to an elliptic eigenvalue
problem with degenerate weight, Dirac operators, strings in a medium with a
viscous friction, and a Sturm-Liouville problem that is rational in the eigenvalue
parameter. 相似文献
190.
Louis?Dupaigne Augusto?C.?Ponceaugponce@math.rutgers.edu" title="ponce@ann.jussieu.fr augponce@math.rutgers.edu" itemprop="email" data-track="click" data-track-action="Email author" data-track-label="">Email author 《Selecta Mathematica, New Series》2004,10(3):341-358
We present several extensions of the Brezis–Lions Lemma on removable singularities. We also give a positive answer to a question raised by H. Brezis and M. Marcus about an inverse maximum principle for the Laplacian. 相似文献