Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Quasielliptic Operators and Equations Not Solvable with Respect to the Higher Order Derivative. / Demidenko, G. V.
в: Journal of Mathematical Sciences (United States), Том 230, № 1, 01.04.2018, стр. 25-35.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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