A Tikhonov regularization for the inverse nodal problem for \(p\)-Laplacian

DOI10.1016/j.jmaa.2012.03.033zbMath1253.34024OpenAlexW1977492623MaRDI QIDQ441972

J. Herrera, H. S. Yoon

Publication date: 8 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.03.033

zbMATH Keywords

error boundinverse nodal problem\(p\)-LaplacianTikhonov regularization

Mathematics Subject Classification ID

Inverse problems involving ordinary differential equations (34A55)

Related Items

A nodal inverse problem for a quasi-linear ordinary differential equation in the half-line, Some nodal properties for a quasilinear differential equation involving the \(p\)-Laplacian, Sturm-Liouville properties for Atkinson's semi-definitep-Laplacian eigenvalue problems, Reconstruction and stability of inverse nodal problems for energy-dependent \(p\)-Laplacian equations, Energy dependent potential problems for the one dimensional \(p\)-Laplacian operator, Some remarks on a nonhomogeneous eigenvalue problem related to generalized trigonometric functions

Cites Work

• Inverse spectral theory using nodal points as data - A uniqueness result
• Sturm-Liouville theory for the radial \(\Delta_p\)-operator
• Variational and non-variational eigenvalues of the \(p\)-Laplacian
• The inverse nodal problem on the smoothness of the potential function
• Reconstructing potentials from zeros of one eigenfunction
• A solution of the inverse nodal problem
• The inverse nodal problem and the Ambarzumyan problem for the p-Laplacian
• Solution of inverse nodal problems
• One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization
• Sturm--Liouville theory for the p-Laplacian
• The inverse nodal problem for Hill's equation