Recently, the applicants obtained optimal results concerning uniqueness and conditional stability for backward parabolic and elliptic operators with low regular coefficients. The main tool of these considerations is the use of para-differential techniques. The project is addressed to the issue of degenerate elliptic differential operators. The main goal is to understand the influence of characteristics of variable order on uniqueness and conditional stability for such operators with low regular coefficients. Besides, counter-examples shall be constructed which may serve to answer the question for optimality of the results. The main tool is to develop suitable para-differential calculus coupled with the method of zones.
DFG Programme
Research Grants
International Connection
USA
