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

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dc.contributor.authorAshyralyev, Allaberen
dc.contributor.authorAshyralyyev, Charyyar
dc.contributor.institutionAshyralyev, Allaberen, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, RUDN University, Moscow, Russian Federation, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
dc.contributor.institutionAshyralyyev, Charyyar, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan
dc.date.accessioned2025-10-05T15:01:03Z
dc.date.issued2023
dc.description.abstractAbstract: 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.
dc.identifier.doi10.1134/S1995080223080085
dc.identifier.endpage3249
dc.identifier.issn19950802
dc.identifier.issn18189962
dc.identifier.issue8
dc.identifier.scopus2-s2.0-85178189125
dc.identifier.startpage3241
dc.identifier.urihttps://doi.org/10.1134/S1995080223080085
dc.identifier.urihttps://hdl.handle.net/20.500.14719/7897
dc.identifier.volume44
dc.language.isoen
dc.publisherPleiades Publishing
dc.relation.sourceLobachevskii Journal of Mathematics
dc.subject.authorkeywordsBoundary Value Problem
dc.subject.authorkeywordsElliptic Equations
dc.subject.authorkeywordsExact Estimates
dc.subject.authorkeywordsSource Identification
dc.subject.authorkeywordsStability
dc.subject.authorkeywordsWell-posedness
dc.titleWell-Posedness of SI Problem for an Elliptic Equation in a Banach Space with Mixed Boundary Conditions
dc.typeArticle
dcterms.referencesAshyralyev, Allaberen, On well-posedness of the nonlocal boundary value problems for elliptic equations, Numerical Functional Analysis and Optimization, 24, 1-2, pp. 1-15, (2003), Ashyralyev, Allaberen, A note on the Bitsadze-Samarskii type nonlocal boundary value problem in a Banach space, Journal of Mathematical Analysis and Applications, 344, 1, pp. 557-573, (2008), Ashyralyev, Allaberen, On the problem of determining the parameter of an elliptic equation in a banach space, Nonlinear Analysis: Modelling and Control, 19, 3, pp. 350-366, (2014), Ashyralyev, Allaberen, On well-posedness of nonclassical problems for elliptic equations, Mathematical Methods in the Applied Sciences, 37, 17, pp. 2663-2676, (2014), New Difference Schemes for Partial Differential Equations, (2004), Well Posedness of Parabolic Difference Equations, (1994), Ashyralyev, Allaberen, On the absolute stable difference scheme for the space-wise dependent source identification problem for elliptic-telegraph equation, Numerical Methods for Partial Differential Equations, 37, 2, pp. 962-986, (2021), Ashyralyyev, Charyyar, Numerical solution to Bitsadze-Samarskii type elliptic overdetermined multipoint NBVP, Boundary Value Problems, 2017, 1, (2017), Ashyralyyev, Charyyar, On the second order of accuracy stable difference scheme for integral type non-local elliptic source identification problem, Computational and Applied Mathematics, 41, 4, (2022), Ashyralyyev, Charyyar, Numerical solution to inverse elliptic problem with neumann type overdetermination and mixed boundary conditions, Electronic Journal of Differential Equations, 2015, (2015)
dspace.entity.typePublication
local.indexed.atScopus
person.identifier.scopus-author-id6602401828
person.identifier.scopus-author-id55334518800

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