Well-Posedness of SI Problem for an Elliptic Equation in a Banach Space with Mixed Boundary Conditions
Ashyralyev A. Ashyralyyev C.
August 2023Pleiades Publishing
Lobachevskii Journal of Mathematics
2023#44Issue 83241 - 3249 pp.
Abstract: In present study, we discuss the next source identification (SI) boundary value problem (BVP) for an elliptic equation (Formula Presented.) in an arbitrary Banach space E with a positive operator A . The exact inequalities for SI problem in several Hölder norms are established. Afterward, coercive stability inequalities for three multidimensional elliptic BVPs are established in apps.
boundary value problem , elliptic equations , exact estimates , source identification , stability , well-posedness
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Department of Mathematics, Bahcesehir University, Istanbul, 34353, Turkey
Peoples’ Friendship University of Russia (RUDN University), Moscow, 117198, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Mirzo Ulugbek National University of Uzbekistan, Tashkent, 100174, Uzbekistan
Department of Mathematics
Peoples’ Friendship University of Russia (RUDN University)
Institute of Mathematics and Mathematical Modeling
Mirzo Ulugbek National University of Uzbekistan
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