Well-posedness of SI problem for an elliptic equation in a Banach space with mixed boundary conditions

DOI10.1134/s1995080223080085OpenAlexW4389103030MaRDI QIDQ6140422

Charyyar Ashyralyyev, Allaberen Ashyralyev

Publication date: 22 January 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080223080085

zbMATH Keywords

mixed boundary conditionshigher-order elliptic equationestimates for the solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for higher-order elliptic equations (35J40)

Cites Work

• Unnamed Item
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• On a nonlocal problem with integral boundary conditions for a multidimensional elliptic equation
• A note on the Bitsadze-Samarskii type nonlocal boundary value problem in a Banach space
• Well-posedness of parabolic difference equations. Transl. from the Russian by A. Iacob
• Numerical solution to Bitsadze-Samarskii type elliptic overdetermined multipoint NBVP
• New difference schemes for partial differential equations.
• Finite difference method for boundary value problem for nonlinear elliptic equation with nonlocal conditions
• On the second order of accuracy stable difference scheme for integral type non-local elliptic source identification problem
• Inverse and ill-posed problems. Theory and applications.
• Numerical methods for solving inverse problems of mathematical physics.
• Inverse problem for elliptic equation in a Banach space with Bitsadze–Samarsky boundary value conditions
• Boundary-value problems for elliptic functional-differential equations and their applications
• On Well-Posedness of the Nonlocal Boundary Value Problems for Elliptic Equations
• Nonlocal problems with integral conditions for elliptic equations
• Application of M-matrices theory to numerical investigation of a nonlinear elliptic equation with an integral condition
• On the problem of determining the parameter of an elliptic equation in a Banach space
• On the convergence rate of a difference solution of the Poisson equation with fully nonlocal constraints
• On well‐posedness of nonclassical problems for elliptic equations
• On the absolute stable difference scheme for the space‐wise dependent source identification problem for elliptic‐telegraph equation

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