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

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作者
Emrah Yilmaz
Sertac Goktas
Hikmet Koyunbakan
机构
[1] Firat University,Department of Mathematics
[2] Mersin University,Department of Mathematics
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-Laplacian operator; inverse nodal problem; Lipschitz stability; 34A55; 34L05; 34L20;
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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.
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