Results 21 to 30 of about 211,517 (279)
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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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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Existence of positive weak solutions for a class of singular elliptic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this note, we are concerned with positive solutions for a class of singular elliptic equations. Under some conditions, we obtain weak solutions for the equations by elliptic regularization method and sub-super solution method.
Li Xia, Jingna Li, Zheng'an Yao
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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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, 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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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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On Uniqueness of Boundary Blow-up Solutions of a Class of Nonlinear Elliptic Equations
, 2007 We study boundary blow-up solutions of semilinear elliptic equations $Lu=u_+^p$ with $p>1$, or $Lu=e^{au}$ with $a>0$, where $L$ is a second order elliptic operator with measurable coefficients.
Bandle C. +14 more
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Einstein equations under polarized $\mathbb U(1)$ symmetry in an elliptic gauge
, 2017 We prove local existence of solutions to the Einstein--null dust system under polarized $\mathbb U(1)$ symmetry in an elliptic gauge. Using in particular the previous work of the first author on the constraint equations, we show that one can identify ...
Huneau, Cécile, Luk, Jonathan
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