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Bilinear Embedding Theorems for Differential Operators in ℝ2. / Stolyarov, D.M.

In: Journal of Mathematical Sciences, No. 5, 2015, p. 792-807.

Research output: Contribution to journal › Article › peer-review

Harvard

Stolyarov, DM 2015, 'Bilinear Embedding Theorems for Differential Operators in ℝ2', Journal of Mathematical Sciences, no. 5, pp. 792-807. https://doi.org/10.1007/s10958-015-2527-x

APA

Stolyarov, D. M. (2015). Bilinear Embedding Theorems for Differential Operators in ℝ2. Journal of Mathematical Sciences, (5), 792-807. https://doi.org/10.1007/s10958-015-2527-x

Vancouver

Stolyarov DM. Bilinear Embedding Theorems for Differential Operators in ℝ2. Journal of Mathematical Sciences. 2015;(5):792-807. https://doi.org/10.1007/s10958-015-2527-x

Author

Stolyarov, D.M. / Bilinear Embedding Theorems for Differential Operators in ℝ2. In: Journal of Mathematical Sciences. 2015 ; No. 5. pp. 792-807.

BibTeX

@article{ff6cdbf5ac5841998db26b9759746f8e,
title = "Bilinear Embedding Theorems for Differential Operators in ℝ2",
abstract = "{\textcopyright} 2015, Springer Science+Business Media New York.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.",
author = "D.M. Stolyarov",
year = "2015",
doi = "10.1007/s10958-015-2527-x",
language = "English",
pages = "792--807",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Bilinear Embedding Theorems for Differential Operators in ℝ2

AU - Stolyarov, D.M.

PY - 2015

Y1 - 2015

N2 - © 2015, Springer Science+Business Media New York.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.

AB - © 2015, Springer Science+Business Media New York.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.

U2 - 10.1007/s10958-015-2527-x

DO - 10.1007/s10958-015-2527-x

M3 - Article

SP - 792

EP - 807

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 4013577