共查询到20条相似文献,搜索用时 31 毫秒
1.
We investigate linear parabolic systems with coupled nonsmooth capacities and mixed boundary conditions. We prove generalized resolvent estimates in W?1, p spaces. The method is an appropriate modification of a technique introduced by Agmon to obtain Lp estimates for resolvents of elliptic differential operators in the case of smooth boundary conditions. Moreover, we establish an existence and uniqueness result. Copyright © 2007 John Wiley & Sons, Ltd. 相似文献
2.
We present the structure of the resolvent of a difference kernel, which allows us to study the asymptotic behavior of the
solution of the renewal equation for a given asymptotic behavior of the constant term. An asymptotic representation for the
resolvent is obtained under minimal requirements on the moments of the kernel. Similar results are given for integro-differential
equations.
Translated fromMatematicheskie Zametki, Vol. 62, No. 1, pp. 88–94, July, 1997.
Translated by M. A. Shishkova 相似文献
3.
V. S. Pilidi 《Mathematical Notes》1998,64(6):778-786
For a linear operator acting in a Hilbert space, the generalized Fredholm property (invertibility modulo a certain ideal) is proved to be equivalent to certaina priori estimates. This result is applied to establish a connection between properties of linear operators on tensor products of Hilbert spaces, such asn- andd-normality, the (generalized and ordinary) Fredholm property, and appropriatea priori estimates.Translated fromMatematicheskie Zametki, Vol. 64, No. 6, pp. 902–912, December, 1998.The author is grateful to V. M. Deundyak for useful discussion of this work.This research was supported by the Russian Foundation for Basic Research under grant No. 96-01-01195. 相似文献
4.
Removability of an Isolated Singularity of Solutions of Nonlinear Elliptic Equations with Absorption
I. I. Skrypnik 《Ukrainian Mathematical Journal》2005,57(7):1149-1166
We prove a priori estimates for singular solutions of nonlinear elliptic equations with absorption. Using these estimates, we establish precise
conditions for the behavior of the absorption term of the equation under which solutions with point singularities do not exist.
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 7, pp. 972–988, July, 2005. 相似文献
5.
We prove an extrapolation theorem for the nonlinear m-term approximation with respect to a system of functions satisfying very mild conditions. This theorem allows us to prove endpoint Lp-Lq estimates in nonlinear approximation. As a consequence, some known endpoint estimates can be deduced directly and some new estimates are also obtained. Finally, applications of these new estimates are given to spherical m-widths and m-term approximation of the weighted Besov classes. 相似文献
6.
Norikazu Yamaguchi 《Mathematical Methods in the Applied Sciences》2005,28(13):1507-1526
In this paper we are concerned with the initial boundary value problem of the micropolar fluid system in a three dimensional bounded domain. We study the resolvent problem of the linearized equations and prove the generation of analytic semigroup and its time decay estimates. In particular, Lp–Lq type estimates are obtained. By use of the Lp–Lq estimates for the semigroup, we prove the existence theorem of global in time solution to the original nonlinear problem for small initial data. Furthermore, we study the magneto‐micropolar fluid system in the final section. Copyright © 2005 John Wiley & Sons, Ltd. 相似文献
7.
Michel Crouzeix 《Numerical Algorithms》2003,33(1-4):193-201
We consider the lumped mass method with piecewise linear finite elements in two dimensions. When the triangulation is of Delaunay type it is known that the discrete scheme satisfies a maximum principle. In this work we pursue the analysis and prove that the discrete semi-group is l
p
contractive in a sector, which implies smoothing effects and provide some resolvent estimates. 相似文献
8.
Andrea Cianchi 《Applied Mathematics and Optimization》1993,27(3):261-274
We are concerned witha priori estimates for functionsu which locally minimize, in the topology ofL
, functionals of the Calculus of Variations. Sharp pointwise upper bounds for the spherically symmetric rearrangement ofu are proved. Such result enables us to get conditions for the boundedness ofu and estimates for ess sup¦u¦. 相似文献
9.
N. I. Kryuchkov 《Mathematical Notes》1997,62(1):99-103
In the paper injective and projective objects in the category of locally compact modules over the ring of integral values
of a global field are described together with the objects of this category possessing injective and projective resolvents.
Translated fromMatematicheskie Zametki, Vol. 62, No. 1, pp. 118–123, July, 1997.
Translated by A. I. Shtern 相似文献
10.
11.
G. Apreutesei 《Journal of Difference Equations and Applications》2013,19(5):511-527
The continuous dependence on data is studied for a class of second order difference equations governed by a maximal monotone operator A in a Hilbert space. A nonhomogeneous term f appears in the equation and some bilocal boundary conditions a, b are added. One shows that the function which associates to {a, b, A, f} the solution of this boundary value problem is continuous in a specific sense. One uses the convergence of a sequence of operators in the sense of the resolvent. The problem studied here is the discrete variant of a problem from the continuous case. 相似文献
12.
We prove uniform semi-classical estimates for the resolvent of the Schrödinger operator h
2
g
+ V (x), 0 < h 1, at a nontrapping energy level E > 0, where V is a real-valued non-negative potential and
g
denotes the positive Laplace-Beltrami operator on a non-compact complete Riemannian manifold which may have a nonempty compact smooth boundary.*Partially supported by CNPq (Brazil) 相似文献
13.
V. É. Kordonskii 《Mathematical Notes》2000,68(4):464-470
We study the essential dimension of exceptional connected simply connected algebraic groups over algebraically closed fields.
In the present paper, we find upper estimates for the essential dimensions of the groupsF
4
,E
6
, andE
7
. For the groupF
4
, the upper estimate, thus obtained coincides with the known lower estimate. We also prove the second Serre conjecture for
the groupE
6
and for a function field.
Translated fromMatematicheskie Zametki, Vol. 68, No. 4, pp. 539–547, October, 2000. 相似文献
14.
We consider a family of two-point quadrature formulae and establish sharp estimates for the remainders under various regularity conditions. Improved forms of certain integral inequalities due to Hermite and Hadamard, Iyengar, Milovanovi
and Pecari
, and others are obtained as special cases. Our results can also be interpreted as analogues to a theorem of Ostrowski on the deviation of a function from its averages. Furthermore, we establish a generalization of a result of Fink concerning Lp estimates for the remainder of the trapezoidal rule and present the best constants in the error bounds. 相似文献
15.
We give an explicit analytic expression for the S-matrix in the case of an arbitrary central interaction inside a sphere of finite radius with a Yukawa-potential tail at large
distances. The method uses the completeness of the wave functions outside the finite sphere and also the unitarity and the
symmetry conditions for the S-matrix.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 147, No. 1, pp. 113–128, April, 2006. 相似文献
16.
We establish conditions under which there exists a function c(t) > 0 such that {fx1850-01}, where X(t) is a random process from an Orlicz space of random variables. We obtain estimates for the probabilities {fx1850-02}.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 12, pp. 1647–1660, December, 2007. 相似文献
17.
A. P. Khromov 《Mathematical Notes》1998,64(6):804-813
Conditions implying the invertibility of the integral operator
with kernelA(x, t) having discontinuities of the first kind at the pointst=x andt=1–x are found. We give explicit inversion formulas as well as applications to the problem of finding the square roots of the operatory(x) with arbitrary boundary conditions and the problem of expansion with respect to eigenfunctions.Translated fromMatematicheskie Zametki, Vol. 64, No. 6, pp. 932–942, December, 1998.This research was supported by the Russian Foundation for Basic Research under grant No. 97-01-00566. 相似文献
18.
V. A. Egorov 《Journal of Mathematical Sciences》2007,147(4):6912-6917
Some optimal asymptotic estimates of constants for the right-hand inequalities of Marcinkiewicz and Rosenthal are derived.
These estimates imply some new inequalities for the rate of increase of sums and optimal right-hand estimates for the law
of the iterated logarithm. Similar estimates are derived for self-normalized sums. Bibliography: 12 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 341, 2007, pp. 115–123. 相似文献
19.
V. A. Baskakov 《Mathematical Notes》2000,67(5):556-562
Following P. P. Korovkin, we study conditions for the convergence of operators of classesS
2m
to continuous functions and the asymptotics of approximation by such operators to differentiable functions.
Translated fromMatematicheskie Zametki, Vol. 67, No. 5, pp. 654–661, May, 2000. 相似文献
20.
We prove Lp and smoothing estimates for the resolvent of magnetic Schrödinger operators. We allow electromagnetic potentials that are small perturbations of a smooth, but possibly unbounded background potential. As an application, we prove an estimate on the location of eigenvalues of magnetic Schrödinger and Pauli operators with complex electromagnetic potentials. 相似文献