نتایج جستجو برای: homogeneous partial differential equation

تعداد نتایج: 738704  

In this article, we will show the complex inversion formula for the inversion of the L2-transform and also some applications of the L2, and Post Widder transforms for solving singular integral equation with trigonometric kernel. Finally, we obtained analytic solution for a partial differential equation with non-constant coefficients.

In this paper, we obtain a suitable mathematical model for the seismic response of dams. By using the shear beam model (SB model), we give a mathematical formulation that it is a partial differential equation and transform it to the Sturm-Liouville equation.

Nonstandard finite difference schemes for the Black-Scholes partial differential equation preserving the positivity property are proposed. Computationally simple schemes are derived by using a nonlocal approximation in the reaction term of the Black-Scholes equation. Unlike the standard methods, the solutions of new proposed schemes are positive and free of the spurious oscillations.

Journal: :Asymptotic Analysis 2007
Simon Moulin Georgi Vodev

For a large class of real-valued potentials, V (x), x ∈ R, n ≥ 4 , we prove dispersive estimates for the low frequency part of e Pac, provided the zero is neither an eigenvalue nor a resonance of −∆+ V , where Pac is the spectral projection onto the absolutely continuous spectrum of −∆ + V . This class includes potentials V ∈ L(R) satisfying V (x) = O ( 〈x〉−(n+2)/2−ǫ ) , ǫ > 0. As a consequence...

2001
Isabel Gonzalo-Fonrodona Miguel A. Porras

In the present work, certain aspects, restricted to the visual system, of the J. Gonzalo’s research, are interpreted according to a simple linear theory of time-dispersion applied to the dynamic cerebral system, characterized by its excitability and its reaction velocity.

2000
C. Farina F. C. Santos A. C. Tort

The non-retarded dispersive force between an electrically polarizable atom and a magnetically polarizable one

Journal: :J. Comput. Physics 2016
Jörn Zimmerling Lei Wei Paul Urbach Rob Remis

Article history: Received 20 November 2015 Received in revised form 8 March 2016 Accepted 25 March 2016 Available online 31 March 2016

2005
G. Herrmann

Based on Whitham’s variational approach and employing the 4× 4 formalism for dispersive wave motion, new balance and conservation laws were established. The general relations are illustrated with a specific example. © 2005 Elsevier B.V. All rights reserved.

2009
O. IVANOVICI F. PLANCHON

The first purpose of this note is to provide a proof of the usual square function estimate on L(Ω). It turns out to follow directly from a generic Mikhlin multiplier theorem obtained by Alexopoulos, which mostly relies on Gaussian bounds on the heat kernel. We also provide a simple proof of a weaker version of the square function estimate, which is enough in most instances involving dispersive ...

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