Results 11 to 20 of about 2,134 (208)
Fractal and Fractional, 2021 Numerical methods for spectral space-fractional elliptic equations are studied. The boundary value problem is defined in a bounded domain of general geometry, Ω⊂Rd, d∈{1,2,3}. Assuming that the finite difference method (FDM) or the finite element method (
Stanislav Harizanov +4 more
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Distributed Control of Systems Governed by a General Class of Quasilinear Elliptic Equations
Journal of Differential Equations, 1993 Let \(\Omega\) be a bounded open subset of \(\mathbb{R}^ N\) with Lipschitz continuous boundary; let \(a: \Omega\times \mathbb{R}^ N\to \mathbb{R}^ N\), \(a_ 0: \Omega\times\mathbb{R}\to \mathbb{R}\) be two Carathéodory functions, \(C^ 1\) in the second variable, such that \[ \sum_{i,j=1}^ N \partial_{N+i} a_ j (.,\eta) \xi_ i\xi_ j\geq \Lambda_ 1(k+| \
Casas, E., Fernandez, L.A.
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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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Multivalued solutions of multidimensional linear equations of heat conduction and rivertons
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021 Background. The article considers the problem of calculating multivalued solutions of multidimensional linear parabolic equations. Solutions for this type of equations of heat conductivity in dimension d > 2 were not previously known and represent an ...
V.M. Zhuravlev, V.M. Morozov
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Green's function for elliptic systems: Moment bounds
Networks and Heterogeneous Media, 2018 We study estimates of the Green's function in $\mathbb{R}^d$ with $d ≥ 2$, for the linear second order elliptic equation in divergence form with variable uniformly elliptic coefficients.
Peter Bella, Arianna Giunti
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Alexandria Engineering Journal, 2020 In this work, a cubic B-spline method based on finite difference and meshless approaches for solving 2D generalized telegraph equations in irregular single and multi-connected domains is presented.
Sergiy Reutskiy +3 more
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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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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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Some estimates for elliptic systems generalizing the Bitsadze system of equations
Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie NaukiThis article explores an elliptic system of n equations where the main part is the Bitsadze operator (the square of the Cauchy–Riemann operator) and the lower term is the product of a given matrix function by the conjugate of the desired vector function. The system was analyzed in the Banach space of vector functions that are bounded and uniformly H¨
S. Baizaev, R. N. Barotov
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(q, t)-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces
Journal of High Energy Physics, 2018 We describe the general strategy for lifting the Wess-Zumino-Witten model from the level of one-loop Kac-Moody U q g ^ k $$ {U}_q{\left(\widehat{\mathfrak{g}}\right)}_k $$ to generic quantum toroidal algebras.
Hidetoshi Awata +5 more
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