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Displaying 221 – 240 of 643

Estimate of the Hausdorff measure of the singular set of a solution for a semi-linear elliptic equation associated with superconductivity

Junichi Aramaki (2010)

Archivum Mathematicum

We study the boundedness of the Hausdorff measure of the singular set of any solution for a semi-linear elliptic equation in general dimensional Euclidean space $ℝ^{n}$ . In our previous paper, we have clarified the structures of the nodal set and singular set of a solution for the semi-linear elliptic equation. In particular, we showed that the singular set is $(n - 2)$ -rectifiable. In this paper, we shall show that under some additive smoothness assumptions, the $(n - 2)$ -dimensional Hausdorff measure of singular set...

Estimates for a class of integral operators and appli-cations to the ?-Neumann problem.

L. Lieb, R.M. Range (1986)

Inventiones mathematicae

Estimates for a number of negative eigenvalues of the Schrödinger operator with intensive magnetic field

Victor Ivrii (1987)

Journées équations aux dérivées partielles

Estimates for absolute values of matrix functions.

Gil', Michael I. (2007)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Estimates for Derivatives and Integrals of Eigenfunctions and Associated Functions of Nonselfadjoint Sturm-Liouville Operator With Discontinuous Coefficients (II)

Nebojša L. Lažetić (1996)

Publications de l'Institut Mathématique

Estimates for $k$ -Hessian operator and some applications

Dongrui Wan (2013)

Czechoslovak Mathematical Journal

The $k$ -convex functions are the viscosity subsolutions to the fully nonlinear elliptic equations $F_{k} [u] = 0$ , where $F_{k} [u]$ is the elementary symmetric function of order $k$ , $1 \leq k \leq n$ , of the eigenvalues of the Hessian matrix $D^{2} u$ . For example, $F_{1} [u]$ is the Laplacian $Δ u$ and $F_{n} [u]$ is the real Monge-Ampère operator det $D^{2} u$ , while $1$ -convex functions and $n$ -convex functions are subharmonic and convex in the classical sense, respectively. In this paper, we establish an approximation theorem for negative $k$ -convex functions, and give several...

Estimates for maximal singular integrals

Loukas Grafakos (2003)

Colloquium Mathematicae

It is shown that maximal truncations of nonconvolution L²-bounded singular integral operators with kernels satisfying Hörmander’s condition are weak type (1,1) and $L^{p}$ -bounded for 1 < p< ∞. Under stronger smoothness conditions, such estimates can be obtained using a generalization of Cotlar’s inequality. This inequality is not applicable here and the point of this article is to treat the boundedness of such maximal singular integral operators in an alternative way.

Estimates for the approximation numbers of one class of integral operators. II.

Lomakina, E.N. (2003)

Sibirskij Matematicheskij Zhurnal

Estimates for the approximation numbers of one class of integral operators. I.

Lomakina, E.N. (2003)

Sibirskij Matematicheskij Zhurnal

Estimates for the Bergman and Szegö projections in two symmetric domains of $ℂ^{n}$

David Bekollé, Aline Bonami (1995)

Colloquium Mathematicae

Estimates for the cut-off resolvent of the Laplacian for trapping obstacles

Jean-François Bony, Vesselin Petkov (2005/2006)

Séminaire Équations aux dérivées partielles

Estimates for the derivative of diffusion semigroups.

Rincon, L.A. (1998)

Electronic Communications in Probability [electronic only]

Estimates of capacity of self-similar measures

Jozef Myjak, Tomasz Szarek (2002)

Annales Polonici Mathematici

We give lower and upper estimates of the capacity of self-similar measures generated by iterated function systems $(S_{i}, p_{i}) : i = 1, . . ., N$ where $S_{i}$ are bi-lipschitzean transformations.

Estimates of $M$ -harmonic conjugate operator.

Lee, Jaesung, Rim, Kyung Soo (2010)

Journal of Inequalities and Applications [electronic only]

Estimates of the derivatives for a class of parabolic degenerate operators with unbounded coefficients in $ℝ^{N}$

Luca Lorenzi (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We consider a class of perturbations of the degenerate Ornstein-Uhlenbeck operator in $ℝ^{N}$ . Using a revised version of Bernstein’s method we provide several uniform estimates for the semigroup ${T (t)}_{t \geq 0}$ associated with the realization of the operator $𝒜$ in the space of all the bounded and continuous functions in $ℝ^{N}$

Estimates of the parameters of conformal mappings associated with a periodic Jacobi matrix.

Kutsenko, A.A. (2004)

Zapiski Nauchnykh Seminarov POMI

Estimates of the potential kernel and Harnack's inequality for the anisotropic fractional Laplacian

Krzysztof Bogdan, Paweł Sztonyk (2007)

Studia Mathematica

We characterize those homogeneous translation invariant symmetric non-local operators with positive maximum principle whose harmonic functions satisfy Harnack's inequality. We also estimate the corresponding semigroup and the potential kernel.

Estimates on the eigenvalues for some nonlinear ordinary differential operators

Raffaele Chiappinelli (1989)

Commentationes Mathematicae Universitatis Carolinae

Estimates on the number of scattering poles near the real axis for strictly convex obstacles

Johannes Sjöstrand, Maciej Zworski (1993)

Annales de l'institut Fourier

For the Dirichlet Laplacian in the exterior of a strictly convex obstacle, we show that the number of scattering poles of modulus $\leq r$ in a small angle $θ$ near the real axis, can be estimated by Const $θ^{3 / 2} r^{n}$ for $r$ sufficiently large depending on $θ$ . Here $n$ is the dimension.

Estimates on the semigroups generated by left invariant operators on Lie groups.

Waldemar Hebisch (1992)

Journal für die reine und angewandte Mathematik

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