Backward Uniqueness of Kolmogorov Operators

Wendong Wang; Liqun Zhang

Backward Uniqueness of Kolmogorov Operators

Analysis of PDEs 2012-10-30 v1

Authors: Wendong Wang , Liqun Zhang

Abstract

The backward uniqueness of the Kolmogorov operator $L=\sum_{i,k=1}^n\partial_{x_i}(a_{i,k}(x,t)\partial_{x_k})+\sum_{l=1}^m x_l\partial_{y_l}-\partial_t$ , was proved in this paper. We obtained a weak Carleman inequality via Littlewood-Paley decomposition for the global backward uniqueness.

Keywords

backward uniqueness Kolmogorov operator Carleman inequality Littlewood-Paley decomposition

Cite

@article{arxiv.1210.7393,
  title  = {Backward Uniqueness of Kolmogorov Operators},
  author = {Wendong Wang and Liqun Zhang},
  journal= {arXiv preprint arXiv:1210.7393},
  year   = {2012}
}

Comments

10 pages

Related papers

View all related →