Publication: Well-Posedness of SI Problem for an Elliptic Equation in a Banach Space with Mixed Boundary Conditions
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Date
2023
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Publisher
Pleiades Publishing
Abstract
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. © 2023 Elsevier B.V., All rights reserved.