Results 11 to 20 of about 213 (40)
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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New singular solutions of Protter′s problem for the 3D wave equation
Abstract and Applied Analysis, Volume 2004, Issue 4, Page 315-335, 2004., 2004 In 1952, for the wave equation,Protter formulated some boundary value problems (BVPs), which are multidimensional analogues of Darboux problems on the plane. He studied these problems in a 3D domain Ω0, bounded by two characteristic cones Σ1 and Σ2,0 and a plane region Σ0. What is the situation around these BVPs now after 50 years?
M. K. Grammatikopoulos +2 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 4, Page 663-672, 1992., 1991 In this paper coupled implicit initial‐boundary value systems of second order partial differential equations are considered. Given a finite domain and an admissible error ϵ an analytic approximate solution whose error is upper bounded by ϵ in the given domain is constructed in terms of the data.
Lucas Jódar
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Journal of Ocean Engineering and Science, 2019 In this article, two different methods, namely sub-equation method and residual power series method, have been used to obtain new exact and approximate solutions of the generalized Hirota-Satsuma system of equations, which is a coupled KdV model.
Ali Kurt +6 more
doaj +1 more source
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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Wave packet analysis of Schrodinger equations in analytic function spaces [PDF]
, 2015 We consider a class of linear Schroedinger equations in R^d, with analytic symbols. We prove a global-in-time integral representation for the corresponding propagator as a generalized Gabor multiplier with a window analytic and decaying exponentially at ...
Cordero, Elena +2 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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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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Singularities of the divergence of continuous vector fields and uniform Hausdorff estimates
, 2012 We prove that every closed set which is not sigma-finite with respect to the Hausdorff measure H^{N-1} carries singularities of continuous vector fields in the Euclidean space R^N for the divergence operator.
Ponce, Augusto C.
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