The Lax equivalence theorem for linear inhomogeneous equations in \(L^ 2\) spaces

DOI10.1016/0021-9045(81)90082-4zbMath0485.65038OpenAlexW1998199592MaRDI QIDQ1164381

J. K. Mountain

Publication date: 1981

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(81)90082-4

zbMATH Keywords

optimal controlfinite difference approximationLebesgue functionsLax theoremlinear inhomogeneous partial differential equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with linear operators (65J10) Existence theories for optimal control problems involving partial differential equations (49J20) Linear differential equations in abstract spaces (34G10) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Cites Work

• On the Lax equivalence theorem equipped with orders
• Survey of the stability of linear finite difference equations
• Difference Approximations for Inhomogeneous and Quasi-Linear Equations
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