Results 51 to 60 of about 882,396 (145)
Spectral Analysis of the Dunkl–Bessel Laplacian and Its Applications
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we develop a concrete von Neumann spectral analysis of the Dunkl–Bessel Laplacian −Δκ,αW, considered through its maximal even distributional realization on Lκ,α2,ℝ+d+1. We first prove that this realization is nonnegative and self‐adjoint and that its spectrum coincides with its continuous spectrum and is equal to [0, +∞), whereas its ...
Abdelilah El Mourni +3 more
wiley +1 more source
Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity
Electronic Journal of Differential Equations, 2018 We study a singularly perturbed PDE with cubic nonlinearity depending on a complex perturbation parameter $\epsilon$. This is a continuation of the precedent work [22] by the first author.
Alberto Lastra, Stephane Malek
doaj
Journal of Probability and Statistics, Volume 2026, Issue 1, 2026.We study the limiting behavior of the sum of independent copies of a pseudo‐Poisson‐type process, also known as the Poisson stochastic index (PSI) process. Under a series scheme satisfying the infinitesimality condition, we prove that the sum of independent PSI processes with random intensity converges, in the sense of finite‐dimensional distributions,
Eslah Azzo, Smritijit Sen
wiley +1 more source
A Paley–Wiener theorem for convex sets in Cn
, 2002 We study the Laplace transform on Hardy spaces on a class of convex domains in Cn. We obtain a Paley–Wiener theorem with a norm that characterizes the entire functions of exponential type which occur as Laplace transforms.
Niklas Lindholm, Lindholm, Niklas
core +1 more source
Electronic Journal of Differential Equations, 2019 We consider a family of linear singularly perturbed Cauchy problems which combines partial differential operators and linear fractional transforms. This work is the sequel of a study initiated in [17].
Alberto Lastra, Stephane Malek
doaj
The Laplace Transform on Isolated Time Scales
, 2010 Bohner, Martin/0000-0001-8310-0266Starting with a general definition of the Laplace transform on arbitrary time scales, we specify the Laplace transform on isolated time scales, prove several properties of the Laplace transform in this case, and ...
Bohner, Martin +2 more
core +2 more sources
Transformada de Laplace: uma introdução com aplicações [PDF]
, 2011 TCCP (especialização) - Universidade Federal de Santa Catarina.Este trabalho pretende abordar uma transformação especial do Cálculo Diferencial e Integral, denominada de Transformada de Laplace, apresentando, inicialmente, sua definição formal que, para ...
Abreu Junior, Valmei
core
Finite time ruin probabilities with one Laplace inversion. [PDF]
In this work we present an explicit formula for the Laplace transform in time of the finite time ruin probabilities of a classical Levy model with phase-type claims. Our result generalizes the ultimate ruin probability formula of Asmussen and Rolski [IME
Avram, Florin, Usábel, Miguel A.
core
Performance of Borel-Padé-Laplace integrator for the solution of stiff and non-stiff problems
, 2022 International audienceA stability analysis of the Borel-Padé-Laplace series summation technique, used as explicit time integrator, is carried out. Its numerical performance on stiff and non-stiff problems is analyzed. Applications to ordinary and partial
Deeb, Ahmad +5 more
core +1 more source
Efficient pricing options under regime switching [PDF]
In the paper, we propose two new efficient methods for pricing barrier option in wide classes of Lévy processes with/without regime switching. Both methods are based on the numerical Laplace transform inversion formulae and the Fast Wiener-Hopf ...
Oleg Kudryavtsev
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