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

A. Ashyralyev; C. Ashyralyyev

doi:10.1134/S1995080223080085

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

A. Ashyralyev, C. Ashyralyyev

Matematik

Araştırma sonucu: Dergi katkısı › Makale › bilirkişi

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	3241-3249
Sayfa sayısı	9
Dergi	Lobachevskii Journal of Mathematics
Hacim	44
Basın numarası	8
DOI'lar	https://doi.org/10.1134/S1995080223080085
Yayın durumu	Yayınlanan - Ağu 2023

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10.1134/S1995080223080085

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Link to publication in Scopus

Bundan alıntı yap

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

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 H{\"o}lder norms are established. Afterward, coercive stability inequalities for three multidimensional elliptic BVPs are established in apps.",

keywords = "boundary value problem, elliptic equations, exact estimates, source identification, stability, well-posedness",

author = "A. Ashyralyev and C. Ashyralyyev",

note = "Publisher Copyright: {\textcopyright} 2023, Pleiades Publishing, Ltd.",

year = "2023",

month = aug,

doi = "10.1134/S1995080223080085",

language = "English",

volume = "44",

pages = "3241--3249",

journal = "Lobachevskii Journal of Mathematics",

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T1 - Well-Posedness of SI Problem for an Elliptic Equation in a Banach Space with Mixed Boundary Conditions

AU - Ashyralyev, A.

AU - Ashyralyyev, C.

PY - 2023/8

Y1 - 2023/8

N2 - 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.

AB - 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.

KW - boundary value problem

KW - elliptic equations

KW - exact estimates

KW - source identification

KW - stability

KW - well-posedness

UR - http://www.scopus.com/inward/record.url?scp=85178189125&partnerID=8YFLogxK

U2 - 10.1134/S1995080223080085

DO - 10.1134/S1995080223080085

M3 - Article

AN - SCOPUS:85178189125

SN - 1995-0802

VL - 44

SP - 3241

EP - 3249

JO - Lobachevskii Journal of Mathematics

JF - Lobachevskii Journal of Mathematics

IS - 8

ER -

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

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