Abstract
We consider the Cauchy problem for the higher-order nonlinear Schrödinger equation
where \(k,p\in \mathbb {N}\mathbf {,}\) \(k\ge 2,\) \(\lambda \in \mathbb {C}\). We prove local existence of solutions for the case of singular initial data \( u_{0}\left( x\right) \) including the Dirac delta function.
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Hayashi, N., Naumkin, P.I. & Ogawa, T. Higher-order nonlinear Schrödinger equations with singular data. J. Evol. Equ. 18, 263–276 (2018). https://doi.org/10.1007/s00028-017-0400-8
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DOI: https://doi.org/10.1007/s00028-017-0400-8