[图书][B] Spectral and scattering theory for ordinary differential equations
C Bennewitz, R Weikard, M Brown - 2020 - Springer
The aim of this book is to give a modern presentation of the spectral and scattering theory for
Sturm–Liouville equations, including some results on inverse theory. We plan a second …
Sturm–Liouville equations, including some results on inverse theory. We plan a second …
The inverse spectral transform for the conservative Camassa–Holm flow with decaying initial data
J Eckhardt - Archive for Rational Mechanics and Analysis, 2017 - Springer
The Inverse Spectral Transform for the Conservative Camassa–Holm Flow with Decaying Initial
Data Page 1 Digital Object Identifier (DOI) 10.1007/s00205-016-1066-z Arch. Rational Mech …
Data Page 1 Digital Object Identifier (DOI) 10.1007/s00205-016-1066-z Arch. Rational Mech …
The inverse spectral problem for indefinite strings
J Eckhardt, A Kostenko - Inventiones mathematicae, 2016 - Springer
Motivated by the study of certain nonlinear wave equations (in particular, the Camassa–
Holm equation), we introduce a new class of generalized indefinite strings associated with …
Holm equation), we introduce a new class of generalized indefinite strings associated with …
[HTML][HTML] On the isospectral problem of the dispersionless Camassa–Holm equation
J Eckhardt, G Teschl - Advances in Mathematics, 2013 - Elsevier
We discuss direct and inverse spectral theory for the isospectral problem of the
dispersionless Camassa–Holm equation, where the weight is allowed to be a finite signed …
dispersionless Camassa–Holm equation, where the weight is allowed to be a finite signed …
Inverse spectral theory for Sturm-Liouville operators with distributional potentials
We discuss inverse spectral theory for singular differential operators on arbitrary intervals
$(a, b)\subseteq\mathbb {R} $ associated with rather general differential expressions of the …
$(a, b)\subseteq\mathbb {R} $ associated with rather general differential expressions of the …
[PDF][PDF] The Camassa--Holm Equation and The String Density Problem
The Camassa–Holm Equation and The String Density Problem Page 1 arXiv:1701.03598v1
[math-ph] 13 Jan 2017 Internat. Math. Nachrichten Nr. 233 (2016), 1–24 The Camassa–Holm …
[math-ph] 13 Jan 2017 Internat. Math. Nachrichten Nr. 233 (2016), 1–24 The Camassa–Holm …
The inverse spectral problem for periodic conservative multi-peakon solutions of the Camassa–Holm equation
J Eckhardt, A Kostenko - International Mathematics Research …, 2020 - ieeexplore.ieee.org
The Inverse Spectral Problem for Periodic Conservative Multi-peakon Solutions of the
Camassa–Holm Equation Page 1 J. Eckhardt and A. Kostenko (2020) “The Inverse Spectral …
Camassa–Holm Equation Page 1 J. Eckhardt and A. Kostenko (2020) “The Inverse Spectral …
Trace formulas and inverse spectral theory for generalized indefinite strings
J Eckhardt, A Kostenko - Inventiones mathematicae, 2024 - Springer
Generalized indefinite strings provide a canonical model for self-adjoint operators with
simple spectrum (other classical models are Jacobi matrices, Krein strings and 2× 2 …
simple spectrum (other classical models are Jacobi matrices, Krein strings and 2× 2 …
The conservative Camassa-Holm flow with step-like irregular initial data
J Eckhardt, A Kostenko - arXiv preprint arXiv:2310.06658, 2023 - arxiv.org
We extend the inverse spectral transform for the conservative Camassa-Holm flow on the
line to a class of initial data that requires strong decay at one endpoint but only mild …
line to a class of initial data that requires strong decay at one endpoint but only mild …
Quadratic operator pencils associated with the conservative Camassa-Holm flow
J Eckhardt, A Kostenko - arXiv preprint arXiv:1406.3703, 2014 - arxiv.org
arXiv:1406.3703v1 [math.SP] 14 Jun 2014 Page 1 arXiv:1406.3703v1 [math.SP] 14 Jun 2014
Quadratic operator pencils associated with the conservative Camassa–Holm flow Jonathan …
Quadratic operator pencils associated with the conservative Camassa–Holm flow Jonathan …