컨텐츠 시작

학술대회/행사

초록검색

제출번호(No.) 0554
분류(Section) Invited Talk
분과(Session) Variational Methods in Nonlinear Problems (SS-15)
영문제목
(Title(Eng.))
A Tikhonov regularization for the reconstruction of potential for $p$-Laplacian
저자(Author(s))
Chun-Kong Law1
National Sun Yat-sen University, Taiwan1
초록본문(Abstract) \begin{abstract}
In many applications, certain nodal set associated with a potential
of a Dirichlet Sturm-Liouville problem can be measured. Hence it is desirable to recover the potential
with this nodal set.
Recently we apply the Tikhonov regularization method to reconstruct
potentials of a Sturm-Liouville problem as well as a $p$-Laplacian eigenvalue problem using only
zeros of one eigenfunction. This method helps to study the accuracy requirement on the measurement of the
nodal sets on the reconstruction error.
\par
This is joint work with Xinfu Chen and Yan-Hsiou Cheng.
\end{abstract}
분류기호
(MSC number(s))
34B24, 47A52
키워드(Keyword(s)) Tikhonov regularization, inverse nodal problem
강연 형태
(Language of Session (Talk))
English