On the convergence of a class of nonlocal elliptic equations and related optimal design problems
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Publication:511955
DOI10.1007/s10957-016-1021-zzbMath1380.35075OpenAlexW2531503025MaRDI QIDQ511955
Publication date: 23 February 2017
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10578/28030
Variational methods for second-order elliptic equations (35J20) Linear integral equations (45A05) Applications of functional analysis to differential and integral equations (46N20)
Related Items
Optimal design problems governed by the nonlocal \(p\)-Laplacian equation, The Galerkin-Fourier method for the study of nonlocal parabolic equations, The dual approach to optimal control in the coefficients of nonlocal nonlinear diffusion, A well‐posed parameter identification for nonlocal diffusion problems, The Nonlocal Kelvin Principle and the Dual Approach to Nonlocal Control in the Conduction Coefficients, Nonlocal Basis Pursuit: Nonlocal Optimal Design of Conductive Domains in the Vanishing Material Limit, Nonlocal Control in the Conduction Coefficients: Well-Posedness and Convergence to the Local Limit, Local and nonlocal optimal control in the source, Generalized Ponce's inequality, Coupling local and nonlocal evolution equations, Fractional Semilinear Optimal Control: Optimality Conditions, Convergence, and Error Analysis
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