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On well-posedness of difference schemes for abstract parabolic equations in L p ([0,T];E) spaces. (English) Zbl 1022.65095
The paper deals with establishing of a coercive inequality in the discrete space L τ n p ([0,T];E n ). To this end the authors consider a general approximation scheme based on semigroup theory and functional analysis tools.
MSC:
65M06Finite difference methods (IVP of PDE)
35K90Abstract parabolic equations