Well-Posedness of SI Problem for an Elliptic Equation in a Banach Space with Mixed Boundary Conditions

被引：0

作者：

Ashyralyev, A. ^{[1
,2
,3
]}

Ashyralyyev, C. ^{[1
,4
]}

机构：

[1] Bahcesehir Univ, Dept Math, TR-34353 Istanbul, Turkiye

[2] Peoples Friendship Univ Russia RUDN Univ, Moscow 117198, Russia

[3] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan

[4] Mirzo Ulugbek Natl Univ Uzbekistan, Tashkent 100174, Uzbekistan

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2023年 / 44卷 / 08期

关键词：

well-posedness; elliptic equations; stability; source identification; exact estimates; boundary value problem;

D O I：

10.1134/S1995080223080085

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In present study, we discuss the next source identification (SI) boundary value problem (BVP) for an elliptic equationv-upsilon '' (t) + A upsilon(t) = g(t) + p, t is an element of(0, T), v ' (0) =phi, v ' (T) =Psi, upsilon(gamma) =.sigma in an arbitrary Banach space E with a positive operator A. The exact inequalities for SI problem in several Ho<spacing diaeresis> lder norms are established. Afterward, coercive stability inequalities for three multidimensional elliptic BVPs are established in apps.

引用

页码：3241 / 3249

页数：9

共 22 条

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