An $L^\infty$ Regularization Strategy to the Inverse Source Identification Problem for Elliptic Equations

DOI10.1137/18M1226373zbMath1414.35066arXiv1811.02845MaRDI QIDQ4632345

Nikolaos I. Katzourakis

Publication date: 29 April 2019

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02845

zbMATH Keywords

regularizationill-posed inverse problemlinear nondivergence differential operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Inverse problems for PDEs (35R30) Second-order elliptic equations (35J15) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (5)

Generalised vectorial \(\infty\)-eigenvalue nonlinear problems for \(L^{\infty}\) functionals ⋮ On the absolute stable difference scheme for the space‐wise dependent source identification problem for elliptic‐telegraph equation ⋮ Inverse Optical Tomography through PDE Constrained Optimization $L^\infty$ ⋮ On the inverse source identification problem in \(L^{\infty}\) for fully nonlinear elliptic PDE ⋮ Vectorial variational problems in L ^∞ constrained by the Navier–Stokes equations*

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