Results 21 to 30 of about 177,031,105 (231)
Optimized Schwarz methods for Maxwell's equations [PDF]
, 2009 Over the last two decades, classical Schwarz methods have been extended to systems of hyperbolic partial differential equations, using characteristic transmission conditions, and it has been observed that the classical Schwarz method can be convergent ...
Dolean Maini, Victorita +6 more
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Generalized Hitchin Systems and the Knizhnik–zamolodchikov–bernard Equation on Ellipic Curves [PDF]
Letters in Mathematical Physics, 1997 Knizhnik-Zamolodchikov-Bernard (KZB) equation on an elliptic curve with a marked point is derived by the classical Hamiltonian reduction and further quantization. We consider classical Hamiltonian systems on cotangent bundle to the loop group $L(GL(N,{\bf C}))$ extended by the shift operators, to be related to the elliptic module.
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Knot points of a double-covariant system of elliptic equations and preferred frames in general relativity [PDF]
Journal of Physics A: Mathematical and General, 2002 The elliptic system of equations, which is general-covariant and locally SU(2)-covariant, is investigated. The new condition of the Dirichlet problem solvability and the condition of zeros absence for solutions are obtained for this system, which contains in particular case the Sen-Witten equation.
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On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]
, 2015 We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian +12 more
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Superlinear elliptic equations and systems [PDF]
, 2008 In this article we survey some recent results on superlinear elliptic equations and systems. A particular focus will be the borderline situations of so-called critical growth.
B. Ruf, Bernhard Ruf
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On orthogonal polynomials and related discrete integrable systems [PDF]
, 2006 Orthogonal polynomials arise in many areas of mathematics and have been the subject of interest by many mathematicians. In recent years this interest has often arisen from outside the orthogonal polynomial community after their connection with ...
Spicer, Paul Edward
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Quasilinear elliptic systems in divergence form associated to general nonlinearities
Advances in Nonlinear Analysis, 2018 The paper is concerned with a priori estimates of positive solutions of quasilinear elliptic systems of equations or inequalities in an open set of Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} associated to general continuous nonlinearities satisfying a local ...
D’Ambrosio Lorenzo, Mitidieri Enzo
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Elliptic Hypergeometric Solutions to Elliptic Difference Equations
, 2009 It is shown how to define difference equations on particular lattices {x_n}, n in Z, made of values of an elliptic function at a sequence of arguments in arithmetic progression (elliptic lattice). Solutions to special difference equations have remarkable
Alphonse P. Magnus +2 more
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Abstract and Applied Analysis, 2012 We study the solvability of Dirichlet and Neumann problems for different classes of nonlinear elliptic systems depending on parameters and with nonmonotone operators, using existence theorems related to a general system of variational equations in a ...
Luisa Toscano, Speranza Toscano
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Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]
, 2005 Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE
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