Regularity of the solution of an evolution problem with inequalities on the boundary

Regularity of the solution of an evolution problem with inequalities on the boundary
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边界不等式演化问题解的规律性

DOI:
10.1080/03605308208820258
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发表时间:
1982
影响因子:
1.9
通讯作者:
Ioannis Athanasopoulous
Ioannis Athanasopoulous
中科院分区:
数学2区
文献类型:
--
作者:
Ioannis Athanasopoulous

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V V E K={w E H'(D): w 2 JIE in D, w= on aD, ae in t), uE (X, O)= O (X),其中i;= h on ar - rn - 1和i;= h1对3R1-Rn-'(h的反射)。将[BK]方法应用于上述抛物型变分不等式,得到u E C;'~(dx (0, m))自
V v E K={w E H'(D): w 2 JIE in D, w= on aD, ae in t) with uE (X, O)= uo (X) where i;= h on aR-Rn-l and i;= h1 on 3R1-Rn-'(htthe reflection of h). By applying the method of [BK) to the above parabolic variational inequality we obtain that u E C;'~(D x (0, m)). Since