非圆柱域非线性抛物型变分不等式的Rothe方法

Differential Equations and Applications Pub Date : 2020-01-01 DOI:10.7153/dea-2020-12-15

G. Kulieva, K. Kuliev

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摘要

研究了非圆柱域上的一类非线性抛物型变分不等式。使用最近在[11]中实现的扩展Rothe方法构造了一个近似解。证明了存在唯一性结果。此外，我们还提出了一些与主要结果相关的进一步结果和评论。数学学科分类(2010):65N40, 35K20。

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Rothe's method for nonlinear parabolic variational inequalities in noncylindrical domains

In this paper, a nonlinear parabolic variational inequality in noncylindrical domain is considered. Using extended Rothe’s method recently achieved in [11] an approximate solution is constructed. Existence and uniqueness results are proved. Also, we present some further results and comments related to the main result. Mathematics subject classification (2010): 65N40, 35K20.

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Differential Equations and Applications

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