caa a22 4500 605526095 CHVBK 20210128100801.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s10958-015-2527-x doi (NATIONALLICENCE)springer-10.1007/s10958-015-2527-x Stolyarov D. St.Petersburg Department of the Steklov Mathematical Institute and P. L. Chebyshev Research Laboratory, St.Petersburg State University, St.Petersburg, Russia aut Bilinear Embedding Theorems for Differential Operators in ℝ2 [Elektronische Daten] [D. Stolyarov] We prove bilinear inequalities for differential operators in ℝ2. 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. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 209/5(2015-09-01), 792-807 1072-3374 209:5<792 2015 209 10958 https://doi.org/10.1007/s10958-015-2527-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2527-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Stolyarov D. St.Petersburg Department of the Steklov Mathematical Institute and P. L. Chebyshev Research Laboratory, St.Petersburg State University, St.Petersburg, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 209/5(2015-09-01), 792-807 1072-3374 209:5<792 2015 209 10958