Solutions and dispersion for the space-time fractional nonlinear Schrodinger equation
Paper Title:
On the solutions to the space-time fractional nonlinear Schrodinger equation and their dispersion
Published on:
28 November 2023
Primary Category:
Analysis of PDEs
Paper Authors:
Mingxuan He,
Na Deng
Bullets
Key Details
Gives estimates of evolution operators
Estimates nonlinearity using harmonic tools
Proves local well-posedness of solutions
Proves global well-posedness for small data or arbitrary data cases
Shows dispersion properties of solutions
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Solutions and dispersion for the space-time fractional nonlinear Schrodinger equation
The paper studies the space-time fractional nonlinear Schrodinger equation. It provides estimates of the evolution operators and nonlinearity. It then proves local and global well-posedness of solutions, as well as dispersion properties, using harmonic analysis tools and function spaces including Sobolev and Besov spaces.
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