Regularized Perturbation Determinants and KdV Conservation Laws for Irregular Initial Profiles

Alexei Rybkin

Type: Book-Chapter

Publication Date: 2010-01-01

Citations: 11

DOI: https://doi.org/10.1007/978-3-0346-0161-0_17

View Publication

Locations

Birkhäuser Basel eBooks - View

Similar Works

Action	Title	Year	Authors
+	Irregular singular behaviour in the first discreet Painlev equation	2000	Nalini Joshi
+	Regular and singular perturbations of an abstract Euler-Poisson-Darboux equation	1999	A. V. Glushak
+ PDF Chat	Regular Singular Volterra Equations on Complex Domains	2025	Veronica Fantini Aaron Fenyes
+	Trace formulas revisited and a new representation of KdV solutions with short-range initial data	2023	Alexei Rybkin
+	Regularity of perturbed Hamilton–Jacobi equations	2002	Jerome A. Goldstein Yudi Soeharyadi
+	Regularity properties of perturbed Hille-Yosida operators and retarded differential equations	2001	András Bátkai Lahcen Maniar Abdelaziz Rhandi
+	PERTURBED SCHRÖDINGER EQUATION WITH SINGULAR POTENTIAL AND INITIAL DATA	2006	Mirjana Stojanović
+	Regular perturbation problems in partial differential equations	1991	E. J. Hinch
+ PDF Chat	Limits of Regularizations for Generalized Function Solutions to the Schrödinger Equation with ‘Square Root of Delta’ Initial Value	2017	Günther Hörmann
+	On singularly perturbed linear initial value problems with mixed irregular and Fuchsian time singularities	2019	Alberto Lastra Stéphane Malek
+	On singularly perturbed linear initial value problems with mixed irregular and Fuchsian time singularities	2019	Alberto Lastra Stéphane Malek
+ PDF Chat	Irregular singular behaviour in the first discrete Painlevé equation	2000	Nalini Joshi
+ PDF Chat	Regularity and pointwise convergence of solutions of the Schr\"odinger operator with radial initial data on Damek-Ricci spaces	2024	Utsav Dewan
+	Long-Time Asymptotics for Solutions of the NLS Equation with a Delta Potential and Even Initial Data: Announcement of Results To Vladimir Matveev, on his 65th birthday Early pioneer, leader in integrable systems	2011	Percy Deift
+	Pathological set of initial data for scaling-supercritical nonlinear Schrödinger equations	2022	Nicolas Camps Louise Gassot
+	Regular and singular perturbations	2006	David Yang Gao V.А. Кrysko
+	Regular and singular perturbations	2006
+	Regular Boundary Value Problems for the Dirac Operator	2020	A. S. Makin
+ PDF Chat	Construction of a Sturm-Liouville vessel using Gelfand-Levitan theory. On solution of the Korteweg-de Vries equation in the first quadrant	2017	Andrey Melnikov
+	A priori estimates for the derivative nonlinear Schrödinger equation	2020	Friedrich Klaus Robert Schippa

Works That Cite This (11)

Action	Title	Year	Authors
+ PDF Chat	Orbital Stability of KdV Multisolitons in $$H^{-1}$$	2022	Rowan Killip Monica Vişan
+ PDF Chat	Strict domain monotonicity of the principal eigenvalue and a characterization of lower boundedness for the Friedrichs extension of four-coefficient Sturm–Liouville operators	2022	Fritz Gesztesy Roger Nichols
+ PDF Chat	Spectral Analysis of One-Dimensional Dirac System with Summable Potential and Sturm- Liouville Operator with Distribution Coefficients	2020	А. М. Савчук I. V. Sadovnichaya
+	Global Well-Posedness for the Fifth-Order KdV Equation in $$H^{-1}(\pmb {\mathbb {R}})$$	2021	Bjoern Bringmann Rowan Killip Monica Vişan
+ PDF Chat	Microscopic conservation laws for the derivative Nonlinear Schrödinger equation	2021	Xingdong Tang Guixiang Xu
+ PDF Chat	Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials	2015	Jonathan Eckhardt Fritz Gesztesy Roger Nichols Gerald Teschl
+	Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials	2013	Jonathan Eckhardt Fritz Gesztesy Roger Nichols Gerald Teschl
+	KdV is wellposed in $H^{-1}$	2018	Rowan Killip Monica Vişan
+	Global well-posedness for the fifth-order KdV equation in $H^{-1}(\mathbb{R})$	2019	Bjoern Bringmann Rowan Killip Monica Vişan
+	Low regularity conservation laws for Fokas-Lenells equation and Camassa-Holm equation	2024	Minjie Shan Mingjuan Chen Yufeng Lu Jing Wang

Works Cited by This (10)

Action	Title	Year	Authors
+	Trace Ideals and Their Applications	2010	Barry Simon
+	Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+ PDF Chat	On the spectral L2 conjecture, 3/2-Lieb-Thirring inequality and distributional potentials	2005	Alexei Rybkin
+	Solutions to the korteweg - devries equation with irregular initial profile	1986	Thomas Kappeler
+	On the Absolutely Continuous Spectrum¶of One-Dimensional Schrödinger Operators¶with Square Summable Potentials	1999	Percy Deift Rowan Killip
+	Korteweg-de Vries equation: A completely integrable Hamiltonian system	1972	В. Е. Захаров Lyudvig Dmitrievich Faddeev
+	First KdV Integrals¶and Absolutely Continuous Spectrum¶for 1-D Schrödinger Operator	2001	Stanislav Molchanov M. V. Novitskii B. Vaĭnberg
+	Sharp Global well-posedness for KdV and modified KdV on $\R$ and $\T$	2001	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Sturm-Liouville operators with distributional potentials	2003	А. М. Савчук Андрей Андреевич Шкаликов
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern