On the n -dimensional Ambarzumyan's theorem

DOI10.1088/0266-5611/13/1/002zbMath0866.34020OpenAlexW2065365956MaRDI QIDQ3123295

Chao-Liang Shen, Hua-Huai Chern

Publication date: 6 March 1997

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/13/1/002

zbMATH Keywords

Sturm-Liouville problemAmbarzumyan

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55)

Related Items (15)

Trace formula for the matrix Sturm-Liouville operator ⋮ Weyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval ⋮ Ambarzumyan-type theorem for third order linear measure differential equations ⋮ Parametrization of the isospectral set for the vector-valued Sturm-Liouville problem ⋮ Ambarzumian's theorem for a Sturm-Liouville boundary value problem on a star-shaped graph ⋮ On three spectra problem and Ambarzumian's theorem ⋮ Recovering the shape of a quantum graph ⋮ Estimates of large eigenvalues and trace formula for the vectorial Sturm-Liouville equations ⋮ Ambarzumyan's theorem for the quasi-periodic boundary conditions ⋮ Ambarzumyan-type theorems for the Sturm-Liouville equation on a graph ⋮ Ambarzumyan theorems for Dirac operators ⋮ A note on eigenvalue asymptotics for Hill's equation ⋮ Extension of Ambarzumyan's theorem to general boundary conditions ⋮ Some Ambarzumyan type theorems for Bessel operator on a finite interval ⋮ Ambarzumyan-type theorems on graphs with loops and double edges

This page was built for publication: On the n -dimensional Ambarzumyan's theorem