STRINGS, WAVES, DRUMS: SPECTRA AND INVERSE PROBLEMS

KdV equations (Korteweg-de Vries equations) (35Q53) General topics in linear spectral theory for PDEs (35P05) Inverse problems for PDEs (35R30) Membranes (74K15) Soliton equations (35Q51) Strings (74K05)

Related Items (2)

Measure-geometric Laplacians for partially atomic measures ⋮ Transmutation operators and Liouville normal form, leading to harmonic solutions with variable components

Cites Work

Unnamed Item
Unnamed Item
Symplectic structures, their Bäcklund transformations and hereditary symmetries
Isospectral plane domains and surfaces via Riemannian orbifolds
On the inverse spectral problem for the string equation
Multipeakons and the classical moment problem
Curvature and the eigenvalues of the Laplacian
An asymptotic expansion for the heat equation
Curvature and the eigenvalues of the Laplacian for elliptic complexes
A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds
Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
On Hodge's theory of harmonic integrals
Peakons, strings, and the finite Toda lattice
The Lie Algebra Structure of Nonlinear Evolution Equations Admitting Infinite Dimensional Abelian Symmetry Groups
Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
Algebras of Certain Singular Operators
Scattering and inverse scattering for first order systems
Calculus on Heisenberg Manifolds. (AM-119)
Periodic solutions of the KdV equation
The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
The symmetries of solitons
An integrable shallow water equation with peaked solitons
Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
The string density problem and the Camassa–Holm equation
EIGENVALUES OF THE LAPLACE OPERATOR ON CERTAIN MANIFOLDS
Integrals of nonlinear equations of evolution and solitary waves
An algebra of pseudo‐differential operators
T<scp>HE</scp> O<scp>RIGINS OF</scp> W<scp>ATER</scp> W<scp>AVE</scp> T<scp>HEORY</scp>
The index of elliptic operators on compact manifolds
On the Connection between Phase Shifts and Scattering Potential
Ramifications, old and new, of the eigenvalue problem
Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds
ARITHMETIC GENERA AND THE THEOREM OF RIEMANN-ROCH FOR ALGEBRAIC VARIETIES

This page was built for publication: STRINGS, WAVES, DRUMS: SPECTRA AND INVERSE PROBLEMS