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Keywords:
error estimates; parabolic equation; backward Euler method; nonsmooth initial data
error estimates; parabolic equation; backward Euler method; nonsmooth initial data
Summary:
The purpose of this paper is to derive the error estimates for discretization in time of a semilinear parabolic equation in a Banach space. The estimates are given in the norm of the space $\Bbb X_{\alpha }$ for $0<\alpha <1$ when the initial condition is not regular.
References:
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