Decay of the radius of spatial analyticity for the modified KdV equation and the nonlinear Schrödinger equation with third order dispersion
DOI10.1007/s00030-024-00960-5zbMath1542.35014MaRDI QIDQ6565509
Mahendra Panthee, Renata O. Figueira
Publication date: 2 July 2024
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
well-posednessnonlinear Schrödinger equationinitial value problemmodified KdV equationFourier restriction normGevrey spacesspatial analyticityradius of analyticity
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Analyticity in context of PDEs (35A20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Lower bounds on the radius of spatial analyticity for the KdV equation
- Well-posedness of the Cauchy problem for the Korteweg-de Vries equation at the critical regularity.
- Analysis of stability and density waves of traffic flow model in an ITS environment
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
- On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves.
- Soliton solution of some nonlinear partial differential equations and its applications in fluid mechanics
- Existence of global solutions and global attractor for the third order Lugiato-Lefever equation on \(\mathbf T\)
- Local well-posedness of the NLS equation with third order dispersion in negative Sobolev spaces.
- Unconditional uniqueness for the modified Korteweg-de Vries equation on the line
- New lower bounds on the radius of spatial analyticity for the KdV equation
- On the (generalized) Korteweg-de Vries equation
- Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions
- Quasi-invariance of Gaussian measures transported by the cubic NLS with third-order dispersion on \textbf{T}
- The modified KdV equation with higher dispersion in Sobolev and analytic spaces on the line
- The mKdV equation and multi-parameters rational solutions
- On the radius of spatial analyticity for defocusing nonlinear Schrödinger equations
- On the radius of spatial analyticity for cubic nonlinear Schrödinger equations
- Quasi-invariant Gaussian measures for the cubic nonlinear Schrödinger equation with third-order dispersion
- Well-posedness of the ``good Boussinesq equation in analytic Gevrey spaces and time regularity
- Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation
- Nonlinear Schrödinger equations with the third order dispersion on modulation spaces
- Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
- The initial-value problem for the Korteweg-de Vries equation
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- THE CAUCHY PROBLEM FOR A THIRD ORDER NONLINEAR SCHRÖDINGER EQUATION
- Spatial analyticity of solutions to nonlinear dispersive PDE
- Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
- Modified Korteweg-deVries Equation and scattering theory
- Exact envelope-soliton solutions of a nonlinear wave equation
- Sharp global well-posedness for the cubic nonlinear Schr\"odinger equation with third order dispersion
This page was built for publication: Decay of the radius of spatial analyticity for the modified KdV equation and the nonlinear Schrödinger equation with third order dispersion