Galerkin approximations of abstract parabolic boundary value problems with rough boundary data—𝐿_{𝑝} theory

Lasiecka, I.

doi:10.1090/S0025-5718-1986-0842123-X

Galerkin approximations of abstract parabolic boundary value problems with rough boundary data—$L_ p$ theory
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Math. Comp. 47 (1986), 55-75 Request permission

Abstract:

Galerkin approximations of an abstract parabolic boundary value problem with "rough" boundary data are considered. The optimal rates of convergence in ${L_p}[0T;{L_2}(\Omega )]$ norms for ${L_p}[0T;{L_2}(\Gamma )]$ boundary terms are derived.

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