Results 261 to 270 of about 5,785 (299)
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On the Solvability of a Neumann Boundary Value Problem at Resonance
Canadian Mathematical Bulletin, 1997AbstractWe study the existence of solutions of the semilinear equations (1) in which the non-linearity g may grow superlinearly in u in one of directions u → ∞ and u → −∞, and (2) −Δu + g(x, u) = h, in which the nonlinear term g may grow superlinearly in u as |u| → ∞.
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Homogenization of the boundary value for the Neumann problem
Journal of Mathematical Physics, 2015In this paper, we study the convergence rates for homogenization problems for solutions of partial differential equations with rapidly oscillating Neumann boundary data. Such a problem raised due to its importance for higher order approximation in homogenization theory. High order approximation gives rise to the so-called boundary layer phenomenon.
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The Neumann boundary value problem in an infinite layer
Journal of Soviet Mathematics, 1992See the review in Zbl 0753.35001.
Antypko, I. I., Borok, V. M.
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Dirichlet and neumann boundary value problems for Yang‐Mills connections
Communications on Pure and Applied Mathematics, 1992Let \(M\) be a compact, orientable Riemannian 4-manifold with smooth boundary. Let \(G\) be a compact Lie group, and let \(P\) be a principal bundle over \(M\) with structure group \(G\). The paper is concerned with connections on \(P\) satisfying the Yang-Mills equations in the interior of \(M\).
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A Neumann boundary value problem for a generalized Ginzburg–Landau equation
Applied Mathematics and Computation, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongjun Gao, Xiaohua Gu, Charles Bu
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An inverse boundary value problem for the heat equation: the Neumann condition
Inverse Problems, 1999Summary: We consider the inverse problem to determine the shape of an insulated inclusion within a heat conducting medium from overdetermined Cauchy data of solutions for the heat equation on the accessible exterior boundary of the medium. For the approximate solution of this ill-posed and nonlinear problem we propose a regularized Newton iteration ...
Chapko, Roman +2 more
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On Neumann boundary value problems for elliptic equations
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, 2004The author deals with problems of the form \[ -\text{div}(a(x)\nabla u(x))= f(x,u)\quad \text{in }\Omega,\qquad {\partial u\over\partial n}= 0\quad \text{on }\partial\Omega,\tag{1} \] where \(\Omega\) is a bounded domain in \(\mathbb{R}^N\) with a \(C^1\) boundary \(\partial\Omega\), \(f(\cdot,\cdot)\) is a Carathéodory function and \(a(\cdot)\) is a ...
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Generalized Dirichlet and Neumann Boundary-Value Problems
2018AbstractIn this chapter, the generalized or weak interpretation of the Dirichlet and Neumann problems for general elliptic expressions is motivated and then the Lax–Milgram Theorem is used to set the problems in the framework of eigenvalue problems for operators acting in Hilbert space.
D. E. Edmunds, W. D. Evans
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On the Solvability Conditions for the Neumann Boundary Value Problem
British Journal of Mathematics & Computer Science, 2013In previous work of the first author, a solvability condition of the Neumann boundary value problem for the polyharmonic equation in the unit ball was obtained. This condition has a form of equality to zero of some integral of a linear combination of the boundary functions.
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Solutions to Neumann boundary value problems with a generalized 𝑝-Laplacian
Georgian Mathematical Journal, 2019Abstract The purpose of this work is to investigate the existence of solutions for various Neumann boundary value problems associated to the Laplacian-type operators. The main results are obtained using the extension of Mawhin’s continuation theorem.
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