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Tikhonov regularization for ill‐posed backward nonlinear Maxwell's equations
Author(s) -
Chen DeHan,
Yousept Irwin
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800245
Subject(s) - tikhonov regularization , regularization (linguistics) , backus–gilbert method , sobolev space , piecewise , mathematics , nonlinear system , well posed problem , mathematical analysis , regularization perspectives on support vector machines , physics , inverse problem , computer science , quantum mechanics , artificial intelligence
Tikhonov regularization for ill‐posed backward nonlinear Maxwell's equations is considered. We present a convergence result with rate for the Tikhonov regularization under piecewise H s ‐type Sobolev regularity assumption on the exact initial data.