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Strichartz and smoothing estimates for dispersive semi-group e−itP(D) in weighted L2 spaces and their applications

  • Jiecheng Chen,
  • Shaolei Ru,
  • Chenjing Wu

摘要

Combining TT* argument and bilinear interpolation, this paper obtains the Strichartz and smoothing estimates of dispersive semi-group e−itP(D) in weighted L2 spaces. Among other things, we recover the results in [1]. Moreover, the application of these results to the well-posedness of some equations are shown in the last section.