Results 31 to 40 of about 220,140 (287)
Risks, 2020 In insurance mathematics, optimal control problems over an infinite time horizon arise when computing risk measures. An example of such a risk measure is the expected discounted future dividend payments.
Stefan Kremsner +2 more
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Entropy and elliptic equations [PDF]
Quarterly of Applied Mathematics, 1993 The author studies steady-state solutions of the heat equation in a domain \(\Omega \subset \mathbb{R}^3\), that is, solutions of the equation \(- \Delta u = f(x)\) in \(\Omega\). He derives an integral identity for solutions of the form \(\int_{\partial P} {- \nu \cdot \text{grad} u \over u} ds = F + G\), where \(P \subset \Omega\) and \(F\) and \(G\)
openaire +2 more sources
Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics
Journal of Applied Mathematics, 2012 We put a direct new method to construct the rational Jacobi elliptic solutions for nonlinear differential difference equations which may be called the rational Jacobi elliptic functions method.
Khaled A. Gepreel, A. R. Shehata
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A Priori and a Posteriori Error Analysis for Generic Linear Elliptic Problems
Tikrit Journal of Pure Science, 2022 In this paper, a priori error analysis has been examined for the continuous Galerkin finite element method which is used for solving a generic scalar and a generic system of linear elliptic equations.
Hala Raad, Mohammad Sabawi
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Elliptic solutions to difference non-linear equations and related many-body problems
, 1997 We study algebro-geometric (finite-gap) and elliptic solutions of fully discretized KP or 2D Toda equations. In bilinear form they are Hirota's difference equation for $\tau$-functions.
Krichever, I. +2 more
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Elliptic Dunkl operators, root systems, and functional equations [PDF]
, 1994 We consider generalizations of Dunkl's differential-difference operators associated with groups generated by reflections. The commutativity condition is equivalent to certain functional equations. These equations are solved in many cases.
Buchstaber, V. M. +2 more
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, 2004 A new approach to the analytic theory of difference equations with rational and elliptic coefficients is proposed. It is based on the construction of canonical meromorphic solutions which are analytical along "thick paths".
Krichever, I.
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Hölder Regularity of Solutions to Second-Order Elliptic Equations in Nonsmooth Domains
Boundary Value Problems, 2006 We establish the global Hölder estimates for solutions to second-order elliptic equations, which vanish on the boundary, while the right-hand side is allowed to be unbounded.
Sungwon Cho, Mikhail Safonov
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New non-linear equations and modular form expansion for double-elliptic Seiberg-Witten prepotential
, 2016 Integrable N-particle systems have an important property that the associated Seiberg-Witten prepotentials satisfy the WDVV equations. However, this does not apply to the most interesting class of elliptic and double-elliptic systems.
Aminov, G., Mironov, A., Morozov, A.
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Some remarks on singular solutions of nonlinear elliptic equations. I [PDF]
, 2009 The paper concerns singular solutions of nonlinear elliptic ...
Caffarelli, Luis +2 more
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