Inverse spectral theory using nodal points as data—A uniqueness result

Joyce R. McLaughlin

Type: Article

Publication Date: 1988-06-01

Citations: 234

DOI: https://doi.org/10.1016/0022-0396(88)90111-8

View Publication

Locations

Journal of Differential Equations - View

Similar Works

Action	Title	Year	Authors
+	Spectral Analysis of an Inverse Problem	2012	Francisco Duarte Moura Neto Antônio José da Silva Neto
+	NODAL POINT DATA FOR INVERSE STURM-LIOUVILLE PROBLEMS A project submitted by	2003	John Njeru Njue
+	On an inverse spectral problem	2017	Yu. V. Egorov
+	An inverse spectral problem	2018	Barbara Brandolini
+ PDF Chat	INVERSE SPECTRAL PROBLEM	2018	S. U. Zhanatauov
+	Inverse Problems and Spectral Theory	2004	Hiroshi Isozaki
+	Solving Inverse Problems with Spectral Data	2000	Joyce R. McLaughlin
+	A nodal inverse problem for measure geometric Laplacians	2020	Juan Pablo Pinasco Cristian Scarola
+	A possible setup of the inverse spectral problem and its solution	1992	Л. А. Грибов В. А. Дементьев
+	Converse Spectral Problems for Nodal Domains	2007	Bernard Helffer Thomas Hoffmann-Ostenhof
+	An inverse spectral problem on surfaces	2006	Philippe Castillon
+	Inverse Nodal Problems: 1-D	2015	Chun‐Kong Law
+	A uniqueness theorem for an inverse problem	1988	А. Г. Рамм
+	Chapter 6. Inverse spectral and scattering problems	2011
+	Incomplete Inverse Spectral and Nodal Problems for Differential Pencils	2011	Sergey Buterin Chung‐Tsun Shieh
+ PDF Chat	The boundary control approach to inverse spectral theory	2010	Sergei Avdonin Victor Mikhaylov
+ PDF Chat	Special Issue: “Modern Spectral Methods for Direct and Inverse problems”	2001	Dževad Belkić
+	An inverse spectral problem for J-normal matrices	2011	Susana Furtado
+	On the Uniqueness of the Solution of an Inverse Spectral Problem	2003	A. M. Akhtyamov
+	Direct and Inverse Spectral Problems for	2007	Mathematisch-Naturwissenschaftlichen Fakultät

Works That Cite This (224)

Action	Title	Year	Authors
+	The uniqueness in inverse problems for Dirac operators with the interior twin-dense nodal subset	2019	Yu Ping Wang Vjacheslav Yurko Chung‐Tsun Shieh
+ PDF Chat	Inverse nodal problem for p-Laplacian energy-dependent Sturm-Liouville equation	2013	Hikmet Koyunbakan
+	New situation in quantum mechanics (wonderful potentials from the inverse problem)	1997	B. N. Zakhariev V. M. Chabanov
+	Solving inverse nodal problem with spectral parameter in boundary conditions	2019	Shahrbanoo Akbarpoor Hikmet Koyunbakan A. Dabbaghian
+	Inverse nodal problem for discontinuous Sturm–Liouville operator by new Prüfer Substitutions	2021	Hikmet Koyunbakan Seyfollah Mosazadeh
+	Inverse nodal problem for polynomial pencil of Sturm‐Liouville operator	2018	Sertaç Göktaş Hikmet Koyunbakan Tüba Gülşen
+	Oscillation Properties for the Dirac Equation with Spectral Parameter in the Boundary Condition	2019	Ziyatkhan S. Aliyev Parvana Manafova
+ PDF Chat	Reconstruction of the Dirac-Type Integro-Differential Operator From Nodal Data	2018	Baki Keskin H. Dilara Tel
+	An uniqueness result with some density theorems with interior transmission eigenvalues	2014	Lung-Hui Chen
+ PDF Chat	Reconstruction of the Sturm–Liouville Operator on a Graph from Subinterval Nodes	2021	Chuan‐Fu Yang Sheng-Yu Guan

Works Cited by This (9)

Action	Title	Year	Authors
+	The inverse Sturm–Liouville problem. II	1984	Eli L. Isaacson H. P. McKean Eugene Trubowitz
+	Analytical Methods for Recovering Coefficients in Differential Equations from Spectral Data	1986	Joyce R. McLaughlin
+	On the determination of the density of a vibrating string from spectral data	1976	Harry Hochstadt
+ PDF Chat	Über Regelflächen von Beliebig Hohem Grade mit Vollständig Zerfallenden Doppelkurven	1944	A. Wiman
+	On the determination of a differential equation from its spectral function	1987	I. M. Gel'fand
+	The inverse Sturm‐Liouville problem. I	1983	Eli L. Isaacson Eugene Trubowitz
+	The inverse Sturm–Liouville problem III	1984	Björn E. J. Dahlberg Eugene Trubowitz
+	On the determination of a differential equation from its spectral function	1955	I. M. Ge′lfand B. M. Levitan
+	Inverse Spectral Theory	1987	Jürgen Pöschel Eugene Trubowitz