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- W2326535149 abstract "So far there seems to be no abstract formulationsfor nonlinear Schrödinger equations (NLS).In some senseCazenave[2, Chapter 3] has given a guiding principle to replace thefree Schrödinger group with the approximate identity of resolvents.In fact, he succeeded in separating the existence theoryfrom the Strichartz estimates.This paper is a proposalto extend his guiding principle by using the square root of the resolvent.More precisely,the abstract theory here unifies thelocal existence of weak solutions to (NLS) withnot only typical nonlinearitiesbut also some critical cases.Moreover, the theory yields the improvementof [21]." @default.
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- W2326535149 date "2012-01-01" @default.
- W2326535149 modified "2023-10-17" @default.
- W2326535149 title "Energy methods for abstract nonlinear Schrödinger equations" @default.
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- W2326535149 doi "https://doi.org/10.3934/eect.2012.1.337" @default.
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