• Xiaoyu FuEmail author
  • Qi Lü
  • Xu Zhang
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)


In this chapter, we shall establish a fundamental weighted identity for second order partial differential operators, via which the main results (Carleman estimates and applications) in this book and most of other related results in previous references can be deduced. Also, some frequently used notations (throughout this book) will be introduced, and some background for Carleman estimates and two stimulating examples explaining the main idea of these sort of estimates will be presented.


Weighted identity Second order partial differential operator Carleman estimate 


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© The Author(s), under exclusive license to Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.School of MathematicsSichuan UniversityChengduChina

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