Abstract
In this note, we solve the inverse nodal problem and Ambarzumyanproblem for the $p$-Laplacian coupled with periodic or anti-periodicboundary conditions. We also extend some results in a previous paperto $p$-Laplacian with $L^1$ potentials, and for arbitrary linearseparated boundary conditions. There we prove a generalizedRiemann-Lebesgue Lemma which is of independent interest.
Citation
Yan-Hsiou Cheng. Chun-Kong Law. Wei-Cheng Lian. Wei-Chuan Wang. "AN INVERSE NODAL PROBLEM AND AMBARZUMYAN PROBLEM FOR THE PERIODIC $p$-LAPLACIAN OPERATOR WITH INTEGRABLE POTENTIALS." Taiwanese J. Math. 19 (4) 1305 - 1316, 2015. https://doi.org/10.11650/tjm.19.2015.5481
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