A Tikhonov regularization for the inverse nodal problem for p-Laplacian

作者：Chen, Xinfu; Cheng, Y H; Law, C K^*

来源：Journal of Mathematical Analysis and Applications, 2012, 395(1): 230-240.

DOI：10.1016/j.jmaa.2012.03.033

• Inverse nodal problem
• p-Laplacian
• Tikhonov regularization
• Error bound

We apply the Tikhonov regularization method to reconstruct potentials of a p-Laplacian eigenvalue problem using only zeros of one eigenfunction, with explicit error bounds. This is an inverse problem on a class of nonlinear equations (when p not equal 2). The study is motivated by our previous work on Sturm-Liouville operators (Chen et al., 2011) [6].

• 出版日期2012-11-1
• 单位清华大学; 中山大学