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ELLIPTIC PROBLEMS WITH NONLOCAL CONDITIONS NEAR THE BOUNDARY
Mathematics of the USSR-Sbornik, 1987Let \(\Omega \subset R^ 2\) be a bounded domain with boundary \(\partial \Omega =(\cup^{N}_{i=1}\Gamma_ i)\cup K\) where \(\Gamma_ i\) is smooth, K is finite, and in a neigbourhood of points of K \(\partial \Omega\) is angular. Let \(\omega_{is}: \gamma_ i\to \Omega\) be nonsingular smooth maps where \(\gamma_ i\) is a neighbourhood of \(\Gamma_ i ...
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Electrical Conductivity Reconstruction Using Nonlocal Boundary Conditions
SIAM Journal on Applied Mathematics, 1999Summary: We study existence, uniqueness, and solution estimates to the mixed problem \(\nabla\cdot\sigma\nabla u=0\) with Dirichlet to Neumann map boundary conditions and Neumann boundary conditions. We then show how this can be used in the reconstruction of \(\sigma\), given the relationship between u and its normal derivative on the boundary portion ...
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Differential operators with nonlocal boundary conditions
Differential Equations, 2000Inverse problems of spectral analysis are studied for boundary value problems generated by the Sturm-Liouville differential operator \[ \ell y:=y''+q(x)y, \quad ...
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Differential equations with nonlocal boundary conditions
Nonlinear Analysis: Theory, Methods & Applications, 2001openaire +1 more source
Third order boundary value problems with nonlocal boundary conditions
Nonlinear Analysis: Theory, Methods & Applications, 2009John Graef, J R L Webb
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Results on Nonlocal Boundary Value Problems
Numerical Functional Analysis and Optimization, 2010Burak Aksoylu, Tadele Mengesha
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Approximate analytical solutions of nonlocal fractional boundary value problems
Applied Mathematical Modelling, 2015Xiuying Li
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