Improved Estimates for Parabolic p-Laplace Type Equations

被引：0

作者：

Surnachev M.D. ^{[1
]}

机构：

[1] Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences, 4, Miusskaya sq., Moscow

来源：

Journal of Mathematical Sciences | 2015年 / 210卷 / 4期

基金：

俄罗斯基础研究基金会;

关键词：

Cauchy Problem; Parabolic Equation; Entire Space; Entropy Solution; Energy Solution;

D O I：

10.1007/s10958-015-2574-3

中图分类号：

学科分类号：

摘要：

For nonlinear parabolic p-Laplace type equations we obtain estimates improving similar estimates in the known monograph of E. DiBenedetto. For the gradients of sign-variable solutions we obtain local “entropy” estimates which are used in the study of the solvability of the Cauchy problem in the entire space with sign-variable initial data. Bibliography: 22 titles. © 2015, Springer Science+Business Media New York.

引用

页码：429 / 457

页数：28

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