论文标题

关于部分规律性密度的注释导致粘度解决方案类别

A note on the density of the partial regularity result in the class of viscosity solutions

论文作者

Prazeres, Disson dos, Pimentel, Edgard A., Rampasso, Giane C.

论文摘要

我们建立了部分规律性的密度导致连续粘度解决方案类别。给定一个完全非线性方程式,我们证明存在有权符合部分规则性结果的序列,近似于其溶液。驱动方程式的操作员的不同条件导致不同拓扑的密度。我们的发现包括针对不均匀问题的应用,以及可变的模型。

We establish the density of the partial regularity result in the class of continuous viscosity solutions. Given a fully nonlinear equation, we prove the existence of a sequence entitled to the partial regularity result, approximating its solutions. Distinct conditions on the operator driving the equation lead to density in different topologies. Our findings include applications to inhomogeneous problems, with variable-coefficients models.

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