Cover Image

Sharp local well-posedness for the Hirota-Satsuma system

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Deiga, Rafael
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs 35G55 (Primary) 35Q53, 35B30, 42B37 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Local well-posedness for a system of quadratic derivative nonlinear Schrödinger equations
by: Akase, Kohei
Published: (2025)

Finite energy well-posedness for nonlinear Schrödinger equations with non-vanishing conditions at infinity
by: Antonelli, Paolo, et al.
Published: (2023)

Global well-posedness of the NLS hierarchy with nonzero boundary condition
by: Liao, Xian, et al.
Published: (2025)

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$
by: McConnell, Ryan, et al.
Published: (2024)

Applications of renormalisation to orthonormal Strichartz estimates and the NLS system on the circle
by: Hadama, Sonae, et al.
Published: (2026)

Global well-posedness for the Cauchy problem of the Zakharov-Kuznetsov equation on cylindrical spaces
by: Osawa, Satoshi, et al.
Published: (2023)

Global well-posedness for generalized fractional Hartree equations with rough initial data in all dimensions
by: Lu, Yufeng
Published: (2025)

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

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

On well-posedness for non-autonomous parabolic Cauchy problems with rough initial data
by: Hou, Hedong
Published: (2025)

Well-posedness of the Muskat problem in subcritical $L_p$-Sobolev spaces
by: Abels, Helmut, et al.
Published: (2020)

The Hardy spaces $\mathcal{H}^{p}_{FIO}(\mathbb{R}^{n})$ for Fourier integral operators for $p<1$
by: Liu, Naijia, et al.
Published: (2025)

Strichartz estimates in Wiener amalgam spaces for Schrödinger equations with at most quadratic potentials
by: Takizawa, Shun
Published: (2025)

Large-time existence results for the nonlocal NLS around ground state solutions
by: Takaoka, Hideo, et al.
Published: (2024)

Sharp asymptotic behavior of solutions to damped nonlinear Schrödinger equations
by: Takagi, Kodai, et al.
Published: (2026)

Global well-posedness and scattering of the defocusing energy-critical inhomogeneous nonlinear Schrödinger equation with radial data
by: Park, Dongjin
Published: (2023)

Sharp well-posedness for the cubic NLS and mKdV in $H^s(\mathbb R)$
by: Harrop-Griffiths, Benjamin, et al.
Published: (2020)

Strichartz estimates for orthonormal functions and convergence problem of density functions of Boussinesq operator on manifolds
by: Yan, Xiangqian, et al.
Published: (2024)

On well-posedness for parabolic Cauchy problems of Lions type with rough initial data
by: Auscher, Pascal, et al.
Published: (2024)

Sharp Fourier extension on fractional surfaces
by: Di, Boning, et al.
Published: (2022)

Function spaces for decoupling
by: Hassell, Andrew, et al.
Published: (2023)

On the well-posedness of the Hall-MHD system in a critical setting of Besov-Morrey type
by: Ferreira, Lucas C. F., et al.
Published: (2024)

Local well-posedness of spatially quasiperiodic gravity water waves in two dimensions
by: Ifrim, Mihaela, et al.
Published: (2026)

Transfer of regularity by kinetic mollification along critical trajectories
by: Niebel, Lukas
Published: (2026)

Endpoint Strichartz estimates for the Schrödinger equation on an exterior domain
by: Georgiev, Vladimir, et al.
Published: (2019)

The mixed fractional Hartree equations in Fourier amalgam and modulation spaces
by: Bhimani, Divyang G., et al.
Published: (2023)

Degenerate parabolic $p$-Laplacian equations: existence, uniqueness and asymptotic behavior of solutions
by: Cruz-Uribe, David, et al.
Published: (2024)

The Cauchy problem for the generalized KdV equation in the Sobolev space $H^{s}(\mathbf{R})$
by: Yan, Xiangqian, et al.
Published: (2026)

Long-time Strichartz estimates on 3D waveguide with applications
by: Deng, Yangkendi, et al.
Published: (2026)

On the Well-posedness of Magnetic Schrödinger Equations with Unbounded Potentials
by: Frey, Dorothee, et al.
Published: (2026)

Rigidity of smooth finite-time blow-up for equivariant self-dual Chern-Simons-Schrödinger equation
by: Kim, Kihyun
Published: (2022)

Stability of bound states for regularized nonlinear Schrödinger equations
by: Albert, John, et al.
Published: (2024)

Blowup of cylindrically symmetric solutions for biharmonic NLS
by: Gou, Tianxiang
Published: (2022)

Shallow-water convergence of the intermediate long wave equation in $L^2$
by: Chapouto, Andreia, et al.
Published: (2025)

Tangential approach in the Dirichlet problem for elliptic equations
by: Bennett, Jonathan, et al.
Published: (2025)

On long time behavior of solutions of the Schrödinger-KdV system with and without resonant interactions
by: Linares, Felipe, et al.
Published: (2025)

The $N$-dimensional gravity driven Muskat problem
by: Matioc, Bogdan-Vasile, et al.
Published: (2026)

Existence and Large Time Behavior for a Dissipative Variant of the Rotational NLS Equation
by: Antonelli, Paolo, et al.
Published: (2023)

Liouville-type theorems for the new Taylor--Couette flow of the stationary Navier--Stokes equations
by: Kozono, Hideo, et al.
Published: (2023)

High-Velocity Inverse Scattering for Nonlinear Schrödinger Equations with Spatially Dependent Nonlinearities
by: Masaki, Satoshi, et al.
Published: (2026)