The Nonlinear Schrödinger–Airy equation in weighted Sobolev spaces


Castro A.J. Jabbarkhanov K. Zhapsarbayeva L.
October 2022Elsevier Ltd

Nonlinear Analysis, Theory, Methods and Applications
2022#223

We study the persistence property of the solution for the nonlinear Schrödinger–Airy equation with initial data in the weighted Sobolev space H1/4(R)∩L2(|x|2mdx), 0
Fractional derivative , Persistence property , Schrödinger equation , Weighted Sobolev space

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Department of Mathematics, Nazarbayev University, Nur-Sultan, 010000, Kazakhstan

Department of Mathematics

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