A geometric theory for \(L^ 2\)-stability of the inverse problem in a one-dimensional elliptic equation from an \(H^ 1\)-observation

DOI10.1007/BF01314817zbMath0776.35077MaRDI QIDQ2366975

Guy Chavent, Karl Kunisch

Publication date: 15 August 1993

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

zbMATH Keywords

diffusion coefficient in two-point boundary value problemsnonconvex attainable setoutput least-squares for nonlinear problemssize \(x\) curvaturestability theory of Guy Chavent

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Inverse problems involving ordinary differential equations (34A55)

Related Items

Regularization in state space, Identification of nonlinear elliptic equations, Estimation of piecewise constant coefficients of parabolic equations: applications to the detection of buried objects, The Output Least Squares Identifiability of the Diffusion Coefficient from an H¹–Observation in a 2–D Elliptic Equation

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