Results 21 to 30 of about 47,836 (284)
Solution of the Basic Boundary Value Problems for a Degenerate Elliptic Equation by the Method of Potentials [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2015 Fundamental solutions to a degenerate elliptic equation are found. Using these fundamental solutions, simple and double layer potentials are built.
R.M. Askhatov, R.N. Abaydullin
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A double inverse problem for Fredholm integro-differential equation of elliptic type
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 In this paper the double inverse problem for partial differential equations is considered. The method of studying the one value solvability of the double inverse problem for a Fredholm integro-differential equation of elliptic type with degenerate kernel
Tursun K Yuldashev
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Local Gradient Estimates for Degenerate Elliptic Equations [PDF]
Advanced Nonlinear Studies, 2016 Abstract This paper is focused on the local interior W 1 , ∞
Hoang, Luan, Nguyen, Truyen, Phan, Tuoc
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On the unique solvability of a nonlocal boundary value problem with the poincaré condition [PDF]
E3S Web of Conferences, 2023 As is known, it is customary in the literature to divide degenerate equations of mixed type into equations of the first and second kind. In the case of an equation of the second kind, in contrast to the first, the degeneracy line is simultaneously the ...
Abdullaev A. A. +2 more
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Singularly Perturbed Elliptic Dirichlet Problem with a Multiple Root of the Degenerate Equation
Моделирование и анализ информационных систем, 2016 A singularly perturbed elliptic problem with Dirichlet boundary conditions is considered in the case of multiple roots of the degenerate equation. A complete asymptotic expansion of the solution is constructed and justified. It is qualitatively different
V. F. Butuzov, V. A. Beloshapko
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Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations
Abstract and Applied Analysis, 2004 We prove an existence result for solution to a class of nonlinear degenerate elliptic equation associated with a class of partial differential operators of the form Lu(x)=∑i,j=1nDj(aij(x)Diu(x)), with Dj=∂/∂xj, where aij:Ω→ℝ are functionssatisfying ...
Albo Carlos Cavalheiro
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Homogenization of periodic elliptic degenerate PDEs with non-linear Neumann boundary condition
Partial Differential Equations in Applied Mathematics, 2021 In this paper, a semi-linear elliptic partial differential equation (PDE) with non linear Neumann boundary condition and rapidly oscillating coefficients is homogenized.
Mohamed Marzougue, Ibrahima Sane
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A semilinear problem with a W^{1,1}_0 solution
, 2012 We study a degenerate elliptic equation, proving the existence of a W^{1,1}_0 distributional ...
Boccardo, Lucio +2 more
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, 2010 In this paper we classify Weingarten surfaces integrable in the sense of soliton theory. The criterion is that the associated Gauss equation possesses an sl(2)-valued zero curvature representation with a nonremovable parameter. Under certain restrictions
Baran H +26 more
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Energy Reports, 2020 We propose a simple but non-trivial mathematical model of a dam–reservoir system balancing between the downstream environmental management and hydropower production.
Hidekazu Yoshioka
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