Well-posedness of the difference schemes for elliptic equations in \(C_\tau^{\beta,\gamma}(E)\) spaces

DOI10.1016/J.AML.2008.06.005zbMath1166.65023OpenAlexW1558010460MaRDI QIDQ1003882

Allaberen Ashyralyev

Publication date: 4 March 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.06.005

zbMATH Keywords

well-posednessdifference schemesBanach spaceperiodic boundary conditionsabstract elliptic problemelliptic differential equationstrongly positive operatoroperator coefficient

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical solutions to equations with linear operators (65J10) Finite difference methods for boundary value problems involving PDEs (65N06) Linear differential equations in abstract spaces (34G10)

Related Items (7)

Well-Posedness in Hölder Spaces of Elliptic Differential and Difference Equations ⋮ The numerical solution of the Bitsadze-Samarskii nonlocal boundary value problems with the Dirichlet-Neumann condition ⋮ On Bitsadze-Samarskii type nonlocal boundary value problems for elliptic differential and difference equations: well-posedness ⋮ On a difference scheme of fourth order of accuracy for the Bitsadze–Samarskii type nonlocal boundary value problem ⋮ Approximate solution of inverse problem for elliptic equation with overdetermination ⋮ The structure of fractional spaces generated by multi-dimensional elliptic difference operator ⋮ A Note on Bitsadze-Samarskii Type Nonlocal Boundary Value Problems: Well-Posedness

Cites Work

• On the regularity of abstract Cauchy problems and boundary value problems
• On well-posedness of the nonlocal boundary value problem for parabolic difference equations
• A note on the well-posedness of the nonlocal boundary value problem for elliptic difference equations
• Maximal regular boundary value problems in Banach-valued weighted space
• On Well-Posedness of the Nonlocal Boundary Value Problems for Elliptic Equations
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