Propagation of radius of analyticity for solutions to a fourth-order nonlinear Schrödinger equation
Getachew T. Belayneh B. Tesfahun A.
December 2024John Wiley and Sons Ltd
Mathematical Methods in the Applied Sciences
2024#47Issue 1814867 - 14877 pp.
We prove that the uniform radius of spatial analyticity (Formula presented.) of solution at time (Formula presented.) to the one-dimensional fourth-order nonlinear Schrödinger equation (Formula presented.) cannot decay faster than (Formula presented.) for large (Formula presented.), given that the initial data are analytic with fixed radius (Formula presented.). The main ingredients in the proof are a modified Gevrey space, a method of approximate conservation law, and a Strichartz estimate for free wave associated with the equation.
fourth-order NLS , lower bound , modified Gevrey spaces , radius of analyticity
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Department of Mathematics, Bahir Dar University, Bahir Dar, Ethiopia
Department of Mathematics, Nazarbayev University, Nur-Sultan, Kazakhstan
Department of Mathematics
Department of Mathematics
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