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Quasielliptic Operators and Equations Not Solvable with Respect to the Higher Order Derivative. / Demidenko, G. V.

In: Journal of Mathematical Sciences (United States), Vol. 230, No. 1, 01.04.2018, p. 25-35.

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

Harvard

Demidenko, GV 2018, 'Quasielliptic Operators and Equations Not Solvable with Respect to the Higher Order Derivative', Journal of Mathematical Sciences (United States), vol. 230, no. 1, pp. 25-35. https://doi.org/10.1007/s10958-018-3723-2

APA

Demidenko, G. V. (2018). Quasielliptic Operators and Equations Not Solvable with Respect to the Higher Order Derivative. Journal of Mathematical Sciences (United States), 230(1), 25-35. https://doi.org/10.1007/s10958-018-3723-2

Vancouver

Demidenko GV. Quasielliptic Operators and Equations Not Solvable with Respect to the Higher Order Derivative. Journal of Mathematical Sciences (United States). 2018 Apr 1;230(1):25-35. doi: 10.1007/s10958-018-3723-2

Author

Demidenko, G. V. / Quasielliptic Operators and Equations Not Solvable with Respect to the Higher Order Derivative. In: Journal of Mathematical Sciences (United States). 2018 ; Vol. 230, No. 1. pp. 25-35.

BibTeX

@article{61d37829ed8c47bd84c618828503099a,
title = "Quasielliptic Operators and Equations Not Solvable with Respect to the Higher Order Derivative",
abstract = "We consider a class of quasielliptic operators in Rn and establish the isomorphism property in special weighted Sobolev spaces. In more general weighted spaces, we obtain the unique solvability conditions for quasielliptic equations and prove estimates for solutions. Based on the obtained results, we study the solvability of the initial problem for equations that are not solvable with respect to the higher order derivative.",
author = "Demidenko, {G. V.}",
year = "2018",
month = apr,
day = "1",
doi = "10.1007/s10958-018-3723-2",
language = "English",
volume = "230",
pages = "25--35",
journal = "Journal of Mathematical Sciences (United States)",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Quasielliptic Operators and Equations Not Solvable with Respect to the Higher Order Derivative

AU - Demidenko, G. V.

PY - 2018/4/1

Y1 - 2018/4/1

N2 - We consider a class of quasielliptic operators in Rn and establish the isomorphism property in special weighted Sobolev spaces. In more general weighted spaces, we obtain the unique solvability conditions for quasielliptic equations and prove estimates for solutions. Based on the obtained results, we study the solvability of the initial problem for equations that are not solvable with respect to the higher order derivative.

AB - We consider a class of quasielliptic operators in Rn and establish the isomorphism property in special weighted Sobolev spaces. In more general weighted spaces, we obtain the unique solvability conditions for quasielliptic equations and prove estimates for solutions. Based on the obtained results, we study the solvability of the initial problem for equations that are not solvable with respect to the higher order derivative.

UR - http://www.scopus.com/inward/record.url?scp=85042530877&partnerID=8YFLogxK

U2 - 10.1007/s10958-018-3723-2

DO - 10.1007/s10958-018-3723-2

M3 - Article

AN - SCOPUS:85042530877

VL - 230

SP - 25

EP - 35

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

SN - 1072-3374

IS - 1

ER -

ID: 10428888