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Mapping properties of one class of quasielliptic operators. / Demidenko, Gennadii.

Mathematics and Computing - 3rd International Conference, ICMC 2017, Proceedings. Springer-Verlag GmbH and Co. KG, 2017. p. 339-348 (Communications in Computer and Information Science; Vol. 655).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Demidenko, G 2017, Mapping properties of one class of quasielliptic operators. in Mathematics and Computing - 3rd International Conference, ICMC 2017, Proceedings. Communications in Computer and Information Science, vol. 655, Springer-Verlag GmbH and Co. KG, pp. 339-348, 3rd International Conference on Mathematics and Computing, ICMC 2017, Haldia, India, 17.01.2017. https://doi.org/10.1007/978-981-10-4642-1_29

APA

Demidenko, G. (2017). Mapping properties of one class of quasielliptic operators. In Mathematics and Computing - 3rd International Conference, ICMC 2017, Proceedings (pp. 339-348). (Communications in Computer and Information Science; Vol. 655). Springer-Verlag GmbH and Co. KG. https://doi.org/10.1007/978-981-10-4642-1_29

Vancouver

Demidenko G. Mapping properties of one class of quasielliptic operators. In Mathematics and Computing - 3rd International Conference, ICMC 2017, Proceedings. Springer-Verlag GmbH and Co. KG. 2017. p. 339-348. (Communications in Computer and Information Science). doi: 10.1007/978-981-10-4642-1_29

Author

Demidenko, Gennadii. / Mapping properties of one class of quasielliptic operators. Mathematics and Computing - 3rd International Conference, ICMC 2017, Proceedings. Springer-Verlag GmbH and Co. KG, 2017. pp. 339-348 (Communications in Computer and Information Science).

BibTeX

@inproceedings{49a99e2c73b44afab8cd891889ddd535,
title = "Mapping properties of one class of quasielliptic operators",
abstract = "The paper is devoted to the theory of quasielliptic operators. We consider scalar and homogeneous quasielliptic operators L(Dx) with lower terms in the whole space ℝn . Our aim is to study mapping properties of these operators in weighted Sobolev spaces. We introduce a special scale of weighted Sobolev spaces Wl p,q,σ(ℝn). These spaces coincide with known spaces of Sobolev type for some parameters l, q, σ. We investigate mapping properties of the operators L(Dx) in the spaces Wp,q,σ(ℝn). We indicate conditions for unique solvability of quasielliptic equations and systems in these spaces, obtain estimates for solutions and formulate an isomorphism theorem for quasielliptic operators. To prove our results we construct special regularizers for quasielliptic operators.",
keywords = "Isomorphism, Quasielliptic operators, Weighted Sobolev spaces",
author = "Gennadii Demidenko",
note = "Publisher Copyright: {\textcopyright} Springer Nature Singapore Pte Ltd. 2017.; 3rd International Conference on Mathematics and Computing, ICMC 2017 ; Conference date: 17-01-2017 Through 21-01-2017",
year = "2017",
month = jan,
day = "1",
doi = "10.1007/978-981-10-4642-1_29",
language = "English",
isbn = "9789811046414",
series = "Communications in Computer and Information Science",
publisher = "Springer-Verlag GmbH and Co. KG",
pages = "339--348",
booktitle = "Mathematics and Computing - 3rd International Conference, ICMC 2017, Proceedings",
address = "Germany",

}

RIS

TY - GEN

T1 - Mapping properties of one class of quasielliptic operators

AU - Demidenko, Gennadii

N1 - Publisher Copyright: © Springer Nature Singapore Pte Ltd. 2017.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - The paper is devoted to the theory of quasielliptic operators. We consider scalar and homogeneous quasielliptic operators L(Dx) with lower terms in the whole space ℝn . Our aim is to study mapping properties of these operators in weighted Sobolev spaces. We introduce a special scale of weighted Sobolev spaces Wl p,q,σ(ℝn). These spaces coincide with known spaces of Sobolev type for some parameters l, q, σ. We investigate mapping properties of the operators L(Dx) in the spaces Wp,q,σ(ℝn). We indicate conditions for unique solvability of quasielliptic equations and systems in these spaces, obtain estimates for solutions and formulate an isomorphism theorem for quasielliptic operators. To prove our results we construct special regularizers for quasielliptic operators.

AB - The paper is devoted to the theory of quasielliptic operators. We consider scalar and homogeneous quasielliptic operators L(Dx) with lower terms in the whole space ℝn . Our aim is to study mapping properties of these operators in weighted Sobolev spaces. We introduce a special scale of weighted Sobolev spaces Wl p,q,σ(ℝn). These spaces coincide with known spaces of Sobolev type for some parameters l, q, σ. We investigate mapping properties of the operators L(Dx) in the spaces Wp,q,σ(ℝn). We indicate conditions for unique solvability of quasielliptic equations and systems in these spaces, obtain estimates for solutions and formulate an isomorphism theorem for quasielliptic operators. To prove our results we construct special regularizers for quasielliptic operators.

KW - Isomorphism

KW - Quasielliptic operators

KW - Weighted Sobolev spaces

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U2 - 10.1007/978-981-10-4642-1_29

DO - 10.1007/978-981-10-4642-1_29

M3 - Conference contribution

AN - SCOPUS:85018385738

SN - 9789811046414

T3 - Communications in Computer and Information Science

SP - 339

EP - 348

BT - Mathematics and Computing - 3rd International Conference, ICMC 2017, Proceedings

PB - Springer-Verlag GmbH and Co. KG

T2 - 3rd International Conference on Mathematics and Computing, ICMC 2017

Y2 - 17 January 2017 through 21 January 2017

ER -

ID: 10262746