# Universal bounds for traces of the Dirichlet Laplace operator

## Related Articles

- ON CUSP FORM COEFFICIENTS IN NONLINEAR EXPONENTIAL SUMS. QINGFENG SUN // Quarterly Journal of Mathematics;Sep2010, Vol. 61 Issue 3, p363
Let f be either a holomorphic Hecke eigenform of weight ? for SL2(Z) with or a Maass Hecke eigenform for SL2(Z) with Laplace eigenvalue ï¿½ + ?2. In the latter case, Here Ki? is the modified Bessel function of the third kind and e(z) = e2piz. This paper studied the cancelation of the...

- DISCRETE HILBERT TYPE INEQUALITY WITH NON-HOMOGENEOUS KERNEL. Ban, B. Drašcić; Pogány, T. K. // Applicable Analysis & Discrete Mathematics;Apr2009, Vol. 3 Issue 1, p88
A new version of discrete HILBERT type inequality is given where the kernel function is non-homogeneous. The main mathematical tools are the representation of the DIRICHLET series by means of the LAPLACE integral, and the HÃ–LDER inequality with non-conjugated parameters. Numerous special...

- On the second-order convergence of a function reconstructed from finite volume approximations of the Laplace equation on Delaunay-Voronoi meshes. Omnes, Pascal // ESAIM: Mathematical Modelling & Numerical Analysis;Jul2011, Vol. 45 Issue 4, p627
Cell-centered and vertex-centered finite volume schemes for the Laplace equation with homogeneous Dirichlet boundary conditions are considered on a triangular mesh and on the Voronoi diagram associated to its vertices. A broken P1function is constructed from the solutions of both schemes. When...

- On the finite-volume approximation of regular solutions of the p-Laplacian. Andreianov, Boris; Boyer, Franck; Hubert, Florence // IMA Journal of Numerical Analysis;Jul2006, Vol. 26 Issue 3, p472
We consider finite-volume schemes on rectangular meshes for the p-Laplacian with Dirichlet boundary conditions. In Andreianov et al. (2004a, Math. Model. Numer. Anal., 38, 931ï¿½959), we constructed a family of schemes and proved discrete W1, p error estimates in the case of W2, p solutions...

- Mathematical analysis and numerical study of true and spurious eigenequations for free vibration of plates using real-part BEM. Chen, J. T.; Lin, S. Y.; Chen, K. H.; Chen, I. L. // Computational Mechanics;Aug2004, Vol. 34 Issue 3, p165
In this paper, a real-part BEM for solving the eigenfrequencies of plates is proposed for saving half effort in computation instead of using the complex-valued BEM. By employing the real-part fundamental solution, the spurious eigenequations in conjunction with the true eigenequation are...

- Infinitely many solutions of a second-order p-Laplacian problem with impulsive condition. Wang, Libo; Ge, Weigao; Pei, Minghe // Applications of Mathematics;Oct2010, Vol. 55 Issue 5, p405
Using the critical point theory and the method of lower and upper solutions, we present a new approach to obtain the existence of solutions to a p-Laplacian impulsive problem. As applications, we get unbounded sequences of solutions and sequences of arbitrarily small positive solutions of the...

- Convergence analysis of a finite volume method for the Stokes system using non-conforming arguments. Nicaise, Serge; Djadel, Karim // IMA Journal of Numerical Analysis;Jul2005, Vol. 25 Issue 3, p523
We consider finite volume methods for the Stokes system in a polyhedral domain of Rd, d = 2 or 3. We prove different error estimates using non-conforming tools, namely by regarding the finite volume scheme as a non-conforming approximation of the continous variational problem. This point of view...

- A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension. Eymard, R.; Gallou�t, T.; Herbin, R. // IMA Journal of Numerical Analysis;Apr2006, Vol. 26 Issue 2, p326
Finite-volume methods for problems involving second-order operators with full diffusion matrix can be used thanks to the definition of a discrete gradient for piecewise constant functions on unstructured meshes satisfying an orthogonality condition. This discrete gradient is shown to satisfy a...

- Fair infinite lotteries. Wenmackers, Sylvia; Horsten, Leon // Synthese;Jan2013, Vol. 190 Issue 1, p37
This article discusses how the concept of a fair finite lottery can best be extended to denumerably infinite lotteries. Techniques and ideas from non-standard analysis are brought to bear on the problem.