Consistent two-sided estimates for the solutions of quasilinear parabolic equations and their approximations

被引：0

作者：

P. P. Matus

D. B. Poliakov

机构：

[1] National Academy of Sciences of Belarus,Institute of Mathematics

[2] The John Paul II Catholic University of Lublin,undefined

来源：

Differential Equations | 2017年 / 53卷

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摘要：

For a linearized finite-difference scheme approximating the Dirichlet problem for a multidimensional quasilinear parabolic equation with unbounded nonlinearity, we establish pointwise two-sided solution estimates consistent with similar estimates for the differential problem. These estimates are used to prove the convergence of finite-difference schemes in the grid L2 norm.

引用

页码：964 / 973

页数：9

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