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Abstract: In this brief note, we consider a wave equation that has both trapping and a complex potential. For this problem, we prove a uniform bound on the energy and a Morawetz (or integrated local e...
We describe a method for determination of physical conditions in the broad line regions of a significant subsample of Seyfert-1 nuclei and quasars. Several diagnostic ratios based on intermediate (AlI...
The cold dark matter theory predicts triaxial dark matter haloes. The radial distribution of halo ellipticity depends on baryonic processes and the nature of dark matter particles (collisionless or co...
Abstract: We prove a Beale-Kato-Majda criterion for the loss of regularity for solutions of the incompressible Euler equations in $H^{s}(\R^3)$, for $s>\frac52$. Instead of double exponential estimate...
We present an analytical method to quantify clustering in super-resolution localization images of static surfaces in two dimensions. The method also describes how over-counting of labeled molecules co...
We present data on eicosapentaenoic acid (EPA)-limited growth responses ofDaphnia magnaunder different temperatures and different dietary cholesterol availabilities to assess how EPA growth saturation...
In this paper, we show a uniform gradient estimate for functions u defined on a domain in Euclidian space RN which satisfy a system of N second order partial differential inequalities of the followi...
The Einstein equations in wave map gauge are a geometric second order system for a Lorentzian metric. To study existence of solutions of this hyperbolic quasi diagonal system with initial data on a ch...
Recently, in Data Envelopment Analysis (DEA) methodology, there are two type of efficiency measurement; radial and non-radial measure represented by the Charnes-Cooper-Rhodes (CCR) and the slack-based...
We consider a spectral stability estimate by Burenkov and Lamberti concerning the variation of the eigenvalues of second order uniformly elliptic operators on variable open sets in the N-dimensional e...
We consider a two dimensional magnetic Schr¨odinger operator with a spatially stationary random magnetic field. We assume that the magnetic field has a positive lower bound and that it has Fourier mod...
Recent data from CREAM seem to confirm early suggestions that primary cosmic ray spectra at few TeV/nucleon are harder than in the 10-100 GeV range. Also, helium and heavier nuclei spectra appear syst...
Let $(M^m,g)$ be a m-dimensional complete Riemannian manifold which satisfies the n-Sobolev inequality and on which the volume growth is comparable to the one of $\R^n$ for big balls; if the Hodge Lap...
We point out that by considering the Hawking-Bekenstein entropy of Schwarzschild black hole horizons as a non-extensive Tsallis entropy, its additive formal logarithm, coinciding with the Renyi entro...

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