Carleman estimates and unique continuation for second order parabolic equations with nonsmooth coefficients

TL;DR

This paper investigates the strong unique continuation property for second order parabolic equations with nonsmooth coefficients, providing new insights into their behavior despite irregularities in coefficients.

Contribution

It establishes Carleman estimates for such equations, advancing understanding of unique continuation under nonsmooth conditions.

Findings

Proved Carleman estimates for nonsmooth coefficients

Demonstrated strong unique continuation property

Extended previous results to less regular coefficients

Abstract

This work is devoted to the strong unique continuation problem for second order parabolic equations with nonsmooth coefficients. Introduction and bibliography have been revised.