Well- posedness of the Rothe difference scheme for reverse parabolic equations
الموضوعات :Allaberen Ashyralyev 1 , Ayfer Dural 2 , Yaşar Sözen 3
1 - Department of Mathematics, Fatih University, Istanbul,34500, Turkey
2 - Gaziosman Paşa Lisesi Istanbul, Turkey
3 - Department of Mathematics, Fatih University, Istanbul,34500, Turkey
الکلمات المفتاحية: parabolic equations, Multipoint nonlocal boundary value problem, reverse type, difference equations, well-posedness, almost coercivity 2000 MSC: 47D06, 35K20,
ملخص المقالة :
We consider the Rothe difference scheme for approximate solution of the abstract parabolic equation in a Hilbert space with the nonlocal boundary condition. Theorems on stability estimates, coercivity and almost coercivity estimates for the solution of this difference scheme are established. In application, new coercivity inequalities for the solution of multi-point nonlocal boundary value difference equations of parabolic type are obtained.
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