Cover Image

Local well-posedness for a fourth-order nonlinear dispersive system on the 1D torus

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Onodera, Eiji
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Local well-posedness of the initial value problem for a fourth-order nonlinear dispersive system on the real line
by: Onodera, Eiji
Published: (2024)

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus
by: Kato, Takamori
Published: (2025)

Well-posedness for the fourth-order Schrödinger equation with third order derivative nonlinearities
by: Hirayama, Hiroyuki, et al.
Published: (2020)

Local well-posedness and blow-up for the restricted fourth-order Prandtl equation
by: Choi, Ik Hyun
Published: (2026)

Local well-posedness for dispersive equations with bounded data
by: Zhao, Jason
Published: (2024)

Critical local well-posedness of the nonlinear Schrödinger equation on the torus
by: Kwak, Beomjong, et al.
Published: (2024)

Global well-posedness of the energy-critical stochastic nonlinear Schrödinger equation on the three-dimensional torus
by: Li, Guopeng, et al.
Published: (2024)

Probabilistic well-posedness of generalized cubic nonlinear Schrödinger equations with strong dispersion using higher order expansions
by: Casteras, Jean-baptiste, et al.
Published: (2024)

Local well-posedness for a generalized sixth-order Boussinesq equation
by: Zhong, Long, et al.
Published: (2024)

Remark on the local well-posedness for NLS with the modulated dispersion
by: Tanaka, Tomoyuki
Published: (2024)

Local well-posedness for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions
by: Molinet, Luc, et al.
Published: (2025)

On local well-posedness for the nonlinear Schrödinger equation with general power nonlinearity
by: Arens, Lucia, et al.
Published: (2025)

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schrödinger equations on the torus
by: Kato, Takamori, et al.
Published: (2025)

Global well-posedness for the 1D cubic nonlinear Schrödinger equation in $L^p,\,p>2$
by: Hyakuna, Ryosuke
Published: (2025)

Local well-posedness for the Schrödinger-KdV system in $H^{s_1}\times H^{s_2}$
by: Ban, Yingzhe, et al.
Published: (2024)

The well-posedness of generalized nonlinear wave equations on the lattice graph
by: Hua, Bobo, et al.
Published: (2024)

Local well-posedness of a Hamiltonian regularisation of the Saint-Venant system with uneven bottom
by: Guelmame, Billel, et al.
Published: (2024)

Global well-posedness for the generalized derivative nonlinear Schrödinger equation
by: Pineau, Ben, et al.
Published: (2021)

On well-posedness of the space-time fractional nonlinear Schrödinger equation
by: He, Mingxuan, et al.
Published: (2023)

Global well-posedness for nonlinear generalized Camassa-Holm equation
by: Ayhan, Nesibe, et al.
Published: (2026)

On the global well-posedness for the periodic quintic nonlinear Schrödinger equation
by: Yu, Xueying, et al.
Published: (2020)

Local well-posedness of a coupled Jordan-Moore-Gibson-Thompson-Pennes model of nonlinear ultrasonic heating
by: Benabbas, Imen, et al.
Published: (2024)

Local well-posedness for the nonlinear heat and Schrödinger equations with nonlinear Wentzell boundary conditions on time-dependent compact Riemannian manifolds
by: Marta, Alessio
Published: (2024)

Local well-posedness for the Boltzmann equation with hard potentials
by: Li, Hao-Guang, et al.
Published: (2026)

Local well-posedness of the higher-dimensional $b$-equation
by: Valletta, Justin
Published: (2025)

Local well-posedness for the Schrödinger-KdV system in $H^{s_1}\times H^{s_2}$, II
by: Ban, Yingzhe, et al.
Published: (2024)

Local well-posedness for the two-and-a-half-dimensional EMHD system with split fractional dissipation
by: Peng, Qirui
Published: (2026)

The local well-posedness, global existence and ill-posedness for the fifth order Camassa-Holm model
by: Chen, Xiaoxin, et al.
Published: (2025)

Anharmonic semigroups and applications to global well-posedness of nonlinear heat equations
by: Cardona, Duván, et al.
Published: (2024)

Unconditional well-posedness for the nonlinear Schrödinger equation in Bessel potential spaces
by: Hyakuna, Ryosuke
Published: (2024)

The well-posedness and scattering theory of nonlinear Schrödinger equations on lattice graphs
by: Wang, Jiajun
Published: (2024)

Global well-posedness of the cubic nonlinear Schrödinger equation on $\mathbb{T}^{2}$
by: Herr, Sebastian, et al.
Published: (2025)

Local well-posedness in the critical regularity setting for hyperbolic systems with partial diffusion
by: Adogbo, Jean-Paul, et al.
Published: (2024)

On the orbital stability of solitary waves for the fourth order nonlinear Schrödinger equation
by: Borluk, Handan, et al.
Published: (2024)

Random data theory for the cubic fourth-order nonlinear Schrödinger equation
by: Dinh, Van Duong
Published: (2020)

Gevrey well-posedness of the hydrostatic MHD-wave system
by: Li, Wei-Xi, et al.
Published: (2025)

Well-posedness and stability for a class of fourth-order nonlinear parabolic equations
by: Li, Xinye, et al.
Published: (2023)

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

Well-posedness of a fully nonlinear evolution inclusion of second order
by: Bacho, Aras
Published: (2022)

Global well-posedness and Asymptotic analysis of a nonlinear heat equation with constraints of finite codimension
by: Bawalia, Ashish, et al.
Published: (2025)