BILINEAR EMBEDDING THEOREMS FOR DIFFERENTIAL OPERATORS IN R~2

摘要

We prove bilinear inequalities for differential operators in R~2. Inequalities of that type turned out to be useful for anisotropic embedding theorems for overdetermined systems and the limiting order summation exponent. However, here we study the phenomenon in itself. We consider the elliptic case in which our analysis is complete and the nonelliptic one in which it is not. The latter case is related to Strichartz estimates in the very easy case of two dimensions. Bibliography: 12 titles.