Asymptotics of solutions to the fractional nonlinear Schrödinger equation with \(\alpha > \frac{5}{2}\)
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Publication:6491149
Isahi Sánchez-Suárez, Nakao Hayashi, Pavel I. Naumkin
Publication date: 24 April 2024
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)
Cites Work
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- Profile decompositions and blowup phenomena of mass critical fractional Schrödinger equations
- Global existence of solutions to nonlinear dispersive wave equations.
- Nonlinear fractional Schrödinger equations in one dimension
- Large time asymptotics for the fractional order cubic nonlinear Schrödinger equations
- Asymptotics for the fourth-order nonlinear Schrödinger equation in the critical case
- Asymptotic properties of solutions to dispersive equation of Schrödinger type
- The initial value problem for the cubic nonlinear Klein-Gordon equation
- Long range scattering for nonlinear Schrödinger equations in one space dimension
- On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators
- Fractional quantum mechanics and Lévy path integrals
- Robin initial-boundary value problem for nonlinear Schrödinger equation with potential
- Asymptotics for the fractional nonlinear Schrödinger equation with \(2<\alpha <\frac{5}{2}\)
- Large time asymptotics for the fractional nonlinear Schrödinger equation
- Fractional nonlinear Schrödinger equation of order \(\alpha \in ( 0 , 1 )\)
- Fractional nonlinear Schrödinger equation
- Blow-up criteria for fractional nonlinear Schrödinger equations
- Self-similar asymptotics for solutions to the intermediate long-wave equation
- Nondispersive solutions to the \(L ^{2}\)-critical half-wave equation
- Global Analysis of a Model for Capillary Water Waves in Two Dimensions
- On the Cauchy Problem of Fractional Schrödinger Equation with Hartree Type Nonlinearity
- Asymptotics for the third-order nonlinear Schrödinger equation in the critical case
- Global Well-Posedness for the Fractional Nonlinear Schrödinger Equation
- A forced fractional Schrödinger equation with a Neumann boundary condition
- Nonlinear fractional Schrödinger equation on a half-line
- Modified wave operators for the fourth-order non-linear Schrödinger-type equation with cubic non-linearity
- The L 2 -Boundedness of Pseudodifferential Operators
- Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
- Global Regularity for 2d Water Waves with Surface Tension
- Dissipative character of asymptotics for the nonlinear fractional Schrödinger equation
- A Class of Bounded Pseudo-Differential Operators
- Dispersive wave turbulence in one dimension
- Modified scattering for the fractional nonlinear Schrödinger equation with \(\alpha \in (\frac{3}{2},2)\)
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