Sobolev Type Inequalities with Decay Factor

  • Tatsien Li
  • Yi Zhou
Part of the Series in Contemporary Mathematics book series (SCMA, volume 2)


In this chapter we are going to establish Sobolev type inequalities with decay factor. The key point is to consider the Lorentz invariance of the wave operator and then introduce a group of first-order partial differential operators instead of the normal differential operators in the differential operations (see Klainerman 1985).

Copyright information

© Springer-Verlag GmbH Germany and Shanghai Scientific and Technical Publishers 2017

Authors and Affiliations

  1. 1.School of Mathematical SciencesFudan UniversityShanghaiChina
  2. 2.School of Mathematical SciencesFudan UniversityShanghaiChina

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