Bilinear Embedding Theorems for Differential Operators in ℝ2

Verfasser / Beitragende:
[D. Stolyarov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 209/5(2015-09-01), 792-807
Format:
Artikel (online)
ID: 605526095
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024 7 0 |a 10.1007/s10958-015-2527-x  |2 doi 
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100 1 |a Stolyarov  |D D.  |u St.Petersburg Department of the Steklov Mathematical Institute and P. L. Chebyshev Research Laboratory, St.Petersburg State University, St.Petersburg, Russia  |4 aut 
245 1 0 |a Bilinear Embedding Theorems for Differential Operators in ℝ2  |h [Elektronische Daten]  |c [D. Stolyarov] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2015 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 209/5(2015-09-01), 792-807  |x 1072-3374  |q 209:5<792  |1 2015  |2 209  |o 10958 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
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949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2527-x  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Stolyarov  |D D.  |u St.Petersburg Department of the Steklov Mathematical Institute and P. L. Chebyshev Research Laboratory, St.Petersburg State University, St.Petersburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 209/5(2015-09-01), 792-807  |x 1072-3374  |q 209:5<792  |1 2015  |2 209  |o 10958