Abstract
We improve the result obtained by one of the authors, Bienaimé (2014), and establish the well-posedness of the Cauchy problem for some nonlinear equations of Schrödinger type in the usual Sobolev space for instead of . We also improve the smoothing effect of the solution and obtain the optimal exponent.
Citation
Pierre-Yves Bienaimé. Abdesslam Boulkhemair. "Well-posedness and smoothing effect for generalized nonlinear Schrödinger equations." Anal. PDE 11 (5) 1241 - 1284, 2018. https://doi.org/10.2140/apde.2018.11.1241
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