Cover Image

The linearized Korteweg-de Vries equation on the line with metric graph defects

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Smith, Dave
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs 35C15, 35G16, 35R02, 35Q53
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Stability of travelling waves to Korteweg--de Vries type equations with fractional dispersion
by: Kokubu, Kaito
Published: (2024)

The Kawahara equation on star graphs
by: Cavalcante, Márcio, et al.
Published: (2025)

Self-similar solutions for the generalized fractional Korteweg-de Vries equation
by: Molinet, Luc, et al.
Published: (2024)

Existence of normalized solutions to nonlinear Schrödinger equations on lattice graphs
by: He, Zhentao, et al.
Published: (2025)

Soliton Amplification in the Korteweg-de Vries Equation by Multiplicative Forcing
by: Westdorp, Rik W. S., et al.
Published: (2024)

Global Well-Posedness and Blow-Up for the fifth order $L^2-$critical KP-I equation
by: Bozgan, Francisc
Published: (2025)

Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation
by: Westdorp, Rik W. S., et al.
Published: (2025)

On growth of Sobolev norms for periodic nonlinear Schrödinger and generalised Korteweg-de Vries equations under critical Gibbs dynamics
by: Höfer, Fabian, et al.
Published: (2024)

On the defocusing stationary nonlinear Schrödinger equation on metric graphs
by: Durand-Simonnet, Élio, et al.
Published: (2026)

On the Korteweg-de Vries limit for the Boussinesq equation
by: Hong, Younghun, et al.
Published: (2024)

Bound states of nonlinear Dirac equations on periodic quantum graphs
by: Yang, Zhipeng, et al.
Published: (2025)

Spectral properties and bound states of the Dirac equation on periodic quantum graphs
by: Yang, Zhipeng, et al.
Published: (2026)

On dispersive decay for the generalized Korteweg--de Vries equation
by: Kowalski, Matthew, et al.
Published: (2025)

On the Benjamin-Bona-Mahony regularization of the Korteweg-de Vries equation
by: Hong, Younghun, et al.
Published: (2025)

A new approach for the analysis of evolution partial differential equations on a finite interval
by: Özsarı, Türker, et al.
Published: (2025)

Normalized solutions of nonlinear magnetic Schrödinger equations on metric graphs
by: d'Avenia, Pietro, et al.
Published: (2025)

Deep-water and shallow-water limits of the intermediate long wave equation
by: Li, Guopeng
Published: (2022)

Long-Timescale Soliton Dynamics in the Korteweg-de Vries Equation with Multiplicative Translation-Invariant Noise
by: Westdorp, Rik W. S., et al.
Published: (2023)

Nonlinear PDEs with modulated dispersion II: Korteweg--de Vries equation
by: Chouk, Khalil, et al.
Published: (2014)

Classification of unstable travelling wave solutions to KdV type equations
by: Kokubu, Kaito
Published: (2025)

$L^2({\mathbb R}) $-Unconditional well-posedness for low dispersion fractional KdV equations
by: Molinet, Luc, et al.
Published: (2026)

Fractional logarithmic Schrödinger equations on lattice graphs
by: Wang, Lidan
Published: (2024)

Nonrelativistic limit of normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities
by: He, Zhentao, et al.
Published: (2025)

Low regularity well-posedness of nonlocal dispersive perturbations of Burgers' equation
by: Molinet, Luc, et al.
Published: (2025)

Scattering problem for the generalized Korteweg-de Vries equation
by: Masaki, Satoshi, et al.
Published: (2024)

The Cauchy problem for nonlinear dispersive models of long internal waves in the presence of the Coriolis force
by: Freire, Ricardo, et al.
Published: (2025)

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs
by: Wang, Lidan
Published: (2025)

Carleman estimates for the Korteweg-de Vries equation with piecewise constant main coefficient
by: Loyola, Cristóbal
Published: (2025)

A-priori estimates for generalized Korteweg-de Vries equations in $H^{-1}(\mathbb{R})$
by: Ifrim, Mihaela, et al.
Published: (2025)

Some remarks on Liouville type theorems for the 3D steady tropical climate model
by: Dong, Yanyan, et al.
Published: (2025)

Some new Liouville type theorems for 3D steady tropical climate model
by: Dong, Yanyan, et al.
Published: (2025)

Nonlinear Dirac equations on noncompact quantum graphs with potentials: Multiplicity and Concentration
by: Gu, Guangze, et al.
Published: (2025)

Dynamics of the Korteweg-de Vries equation on a balanced metric graph
by: Pava, Jaime Angulo, et al.
Published: (2024)

Nonrelativistic limit of bound-state solutions for nonlinear Dirac equation on noncompact quantum graphs
by: Gu, Guangze, et al.
Published: (2025)

Orbital instability of periodic waves for generalized Korteweg-de Vries-Burgers equations with a source
by: Naumkina, Anna, et al.
Published: (2024)

Instability of periodic waves for the Korteweg-de Vries-Burgers equation with monostable source
by: Folino, Raffaele, et al.
Published: (2024)

The "good" Boussinesq equation on the half-line with Robin boundary conditions
by: Agarwal, Shivani, et al.
Published: (2026)

Inverse source problem for the space-time fractional parabolic equation on a metric star graph with an integral overdetermination condition
by: Ashurov, R. R., et al.
Published: (2024)

Fractional Sobolev spaces and fractional $p$-Laplace equations on locally finite graphs
by: Zhang, Mengjie, et al.
Published: (2025)

On the well-posedness of the KP-I equation
by: Guo, Zihua, et al.
Published: (2024)