On the Lipschitz stability of inverse nodal problem for p -Laplacian Schrödinger equation with energy dependent potential

Boundary value problems

Emrah Yilmaz¹  Hikmet Koyunbakan²  Sertac Goktas³ 

[1] Department of Mathematics, Firat University, ElazıDepartment of Mathematics, Mersin University, Mersin, Turkey;g, Turkey

关键词: p-Laplacian operator;    inverse nodal problem;    Lipschitz stability;    34A55;    34L05;    34L20;   

DOI  :  10.1186/s13661-015-0298-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this study, we consider reconstruction and stability issues of an inverse nodal problem for a p-Laplacian Schrödinger equation with energy dependent potential. We solve Lipschitz stability of the inverse nodal problem for this p-Laplacian operator. Furthermore, we show that the space of all potential functions q is homeomorphic to the partition set of all asymptotically equivalent nodal sequences induced by an equivalence relation.

【 授权许可】

CC BY