一类P-Laplacian方程和一类热传导方程组解的性质
发布时间：2018-07-28 18:06
【摘要】：本文主要利用比较原理和上、下解方法,研究了如下关于P-Laplacian方程初边值问题：其中p1为给定常数,“。是一个非负函数且为Rn中具有光滑边界的有界区域,定义得到了方程在初值和零边值条件下解的熄灭和不熄灭性.以及研究了如下热传导方程的初边值问题：其中m,n≥0,p,q0,α,β0为常数,u0,v0是初值,并且满足：0u01,0 v0 1;u0',v0'≤0分别讨论了方程解的淬灭,淬灭点集以及在淬灭点处关于时间的导数是爆破的.
[Abstract]:In this paper, by using the comparison principle and the upper and lower solution methods, we study the initial-boundary value problem of P-Laplacian equation as follows: where p1 is a given constant, ". It is a bounded region with smooth boundary in R _ n and is a nonnegative function. The quenching and non-extinguishing properties of the solution of the equation are obtained under the condition of initial value and zero boundary value. The initial-boundary value problem of the following heat conduction equations is also studied: where mtn 鈮，
本文编号：2151167
[Abstract]:In this paper, by using the comparison principle and the upper and lower solution methods, we study the initial-boundary value problem of P-Laplacian equation as follows: where p1 is a given constant, ". It is a bounded region with smooth boundary in R _ n and is a nonnegative function. The quenching and non-extinguishing properties of the solution of the equation are obtained under the condition of initial value and zero boundary value. The initial-boundary value problem of the following heat conduction equations is also studied: where mtn 鈮，
本文编号：2151167
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