Unconditional uniqueness of higher order nonlinear Schrödinger equations
Friedrich Klaus, Peer Kunstmann, Nikolaos Pattakos (2021)
Czechoslovak Mathematical Journal
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We show the existence of weak solutions in the extended sense of the Cauchy problem for the cubic fourth order nonlinear Schrödinger equation with the initial data , where and , , or , or . Moreover, if , or if , or if and we show that the Cauchy problem is unconditionally wellposed in . Similar results hold true for all higher order nonlinear Schrödinger equations and mixed order NLS due to a factorization property of the corresponding phase factors. For the proof we employ...