English

Backward uniqueness for general parabolic operators in the whole space

Analysis of PDEs 2017-11-28 v1

Abstract

We prove the backward uniqueness for general parabolic operators of second order in the whole space under assumptions that the leading coefficients of the operator are Lipschitz and their gradients satisfy certain decay conditions. This result extends in some ways a classical result of Lions and Malgrange [12] and a recent result of the authors [10].

Keywords

Cite

@article{arxiv.1711.09567,
  title  = {Backward uniqueness for general parabolic operators in the whole space},
  author = {Jie Wu and Liqun Zhang},
  journal= {arXiv preprint arXiv:1711.09567},
  year   = {2017}
}