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.
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页码：429 / 457
页数：28
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