Asymptotic behavior and regularity properties of strongly nonlinear parabolic equations

被引：6
|
作者：
Porzio, Maria Michaela [1 ]
机构：
[1] Sapienza Univ Roma, Dipartimento Matemat Guido Castelnuovo, Piazzale A Moro 2, I-00185 Rome, Italy
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2019年 / 198卷 / 05期
关键词：
Decay estimates; Asymptotic behavior; Regularity of solutions; p-Laplacian equation; Nonlinear degenerate parabolic equations; Smoothing effect; 35K10; 35K55; 35K65; 35K58; RENORMALIZED SOLUTIONS; EXISTENCE; DEGENERATE; UNIQUENESS; UNIFORM; BOUNDS;
D O I：
10.1007/s10231-019-00845-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a class of nonlinear parabolic problems including the p-Laplacian equation. The initial datum and the forcing term are allowed to be summable functions or Radon measures. We prove that these equations have surprising regularizing properties. Moreover, we study the behavior in time of these solutions proving that decay estimates hold true also for nonzero reaction terms. Finally, we study the autonomous case.
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页码：1803 / 1833
页数：31
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