当前位置:
X-MOL 学术
›
Comput. Math. Math. Phys.
›
论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Decay of Nonnegative Solutions of Singular Parabolic Equations with KPZ-Nonlinearities
Computational Mathematics and Mathematical Physics ( IF 0.7 ) Pub Date : 2020-10-07 , DOI: 10.1134/s0965542520080126 A. B. Muravnik
中文翻译:
具有KPZ-非线性的奇异抛物方程的非负解的衰减
更新日期:2020-10-07
Computational Mathematics and Mathematical Physics ( IF 0.7 ) Pub Date : 2020-10-07 , DOI: 10.1134/s0965542520080126 A. B. Muravnik
Abstract
The Cauchy problem for quasilinear parabolic equations with KPZ-nonlinearities is considered. It is proved that the behavior of the solution as \(t \to \infty \) can change substantially as compared with the homogeneous case if the equation involves zero-order terms. More specifically, the solution decays at infinity irrespective of the behavior of the initial function and the rate and character of this decay depend on the conditions imposed on the lower order coefficients of the equation.
中文翻译:
具有KPZ-非线性的奇异抛物方程的非负解的衰减
摘要
考虑具有KPZ非线性的拟线性抛物方程的Cauchy问题。证明了,如果方程包含零阶项,则与齐次情况相比,解的行为为\(t \ to \ infty \)可以显着改变。更具体地,与初始函数的行为无关,解在无限远处衰减,并且该衰减的速率和特性取决于施加在方程的低阶系数上的条件。