Nonlocal boundary-value problems for abstract parabolic equations: well-posedness in Bochner spaces

Nonlocal boundary-value problems for abstract parabolic equations: well-posedness in Bochner spaces
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DOI:
10.1007/s00028-005-0194-y
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发表时间:
2006-02-01
影响因子:
1.4
通讯作者:
Ashyralyev, A
Ashyralyev, A
中科院分区:
数学3区
文献类型:
--
作者:
Ashyralyev, A

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The well-posedness of the nonlocal boundary-value problem for abstract parabolic differential equations in Bochner spaces is established. The first and second order of accuracy difference schemes for the approximate solutions of this problem are considered. The coercive inequalities for the solutions of these difference schemes are established. In applications, the almost coercive stability and coercive stability estimates for the solutions of difference schemes for the approximate solutions of the nonlocal boundary-value problem for parabolic equation are obtained.