The development of the deterministic nonlinear PDEs in particle physics to stochastic case
Results in Physics, 2018 In the present work, accuracy method called, Riccati-Bernoulli Sub-ODE technique is used for solving the deterministic and stochastic case of the Phi-4 equation and the nonlinear Foam Drainage equation.
Mahmoud A.E. Abdelrahman, M.A. Sohaly
doaj +1 more source
Analytical regularizing effect for the radial and spatially homogeneous Boltzmann equation [PDF]
, 2012 In this paper, we consider a class of spatially homogeneous Boltzmann equation without angular cutoff.
Glangetas, Léo, Najeme, Mohamed
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The p-Laplace equation in domains with multiple crack section via pencil operators [PDF]
, 2014 The p-Laplace equation $$ \n \cdot (|\n u|^n \n u)=0 \whereA n>0, $$ in a bounded domain $\O \subset \re^2$, with inhomogeneous Dirichlet conditions on the smooth boundary $\p \O$ is considered.
Alvarez-Caudevilla, Pablo +1 more
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Analytical Solutions of the Black–Scholes Pricing Model for European Option Valuation via a Projected Differential Transformation Method [PDF]
, 2015 In this paper, a proposed computational method referred to as Projected Differential Transformation Method (PDTM) resulting from the modification of the classical Differential Transformation Method (DTM) is applied, for the first time, to the Black ...
Edeki, S.O. +2 more
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On the asymptotic expansion of the solutions of the separated nonlinear Schroedinger equation
, 2000 Nonlinear Schr\"odinger equation (with the Schwarzian initial data) is important in nonlinear optics, Bose condensation and in the theory of strongly correlated electrons.
A.A. Kapaev +21 more
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Functions holomorphic along holomorphic vector fields
, 2008 The main result of the paper is the following generalization of Forelli's theorem: Suppose F is a holomorphic vector field with singular point at p, such that F is linearizable at p and the matrix is diagonalizable with the eigenvalues whose ratios are ...
B.V. Shabat +7 more
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Exponentially sparse representations of Fourier integral operators
, 2015 We investigate the sparsity of the Gabor-matrix representation of Fourier integral operators with a phase having quadratic growth. It is known that such an infinite matrix is sparse and well organized, being in fact concentrated along the graph of the ...
Cordero, Elena +2 more
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, 2002 We show in this article that the Reeh-Schlieder property holds for states of quantum fields on real analytic spacetimes if they satisfy an analytic microlocal spectrum condition.
Alexander Strohmaier +33 more
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On the Holomorphic Extension of Solutions of Elliptic Pseudodifferential Equations [PDF]
, 2012 2010 Mathematics Subject Classification: 35B65, 35S05, 35A20.We derive analytic estimates and holomorphic extensions for the solutions of a class of elliptic pseudodifferential equations on ...
Cappiello, Marco, Nicola, Fabio
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Operators with Polynomial Coefficients and Generalized Gelfand-Shilov Classes [PDF]
, 2012 2010 Mathematics Subject Classification: Primary 35S05, 35J60; Secondary 35A20, 35B08, 35B40.We study the problem of the global regularity for linear partial differential operators with polynomial coefficients.
Calvo, Daniela +2 more
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