Abstract
In this paper we study the Hp–Hq estimates of the solutions for a class of dispersive equations
where P: ℝ+ → ℝ is smooth away from the origin and enjoy different scalings. As applications, we obtain the decay estimates for the solutions of higher order homogeneous and inhomogeneous Schrödinger equations.
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The authors would like to express their deep gratitude to the referee for his/her very careful reading. Qingquan Deng was supported by the National Natural Science Foundation of China (No. 11971191).
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Deng, Q., Fan, D. & Zhao, R. The Hp–Hq Estimates for a Class of Dispersive Equations and Related Applications. Front. Math (2024). https://doi.org/10.1007/s11464-023-0115-9
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DOI: https://doi.org/10.1007/s11464-023-0115-9