【摘要】：本文主要利用比較原理和上、下解方法,研究了如下關(guān)于P-Laplacian方程初邊值問題：其中p1為給定常數(shù),“。是一個(gè)非負(fù)函數(shù)且為Rn中具有光滑邊界的有界區(qū)域,定義得到了方程在初值和零邊值條件下解的熄滅和不熄滅性.以及研究了如下熱傳導(dǎo)方程的初邊值問題：其中m,n≥0,p,q0,α,β0為常數(shù),u0,v0是初值,并且滿足：0u01,0 v0 1;u0',v0'≤0分別討論了方程解的淬滅,淬滅點(diǎn)集以及在淬滅點(diǎn)處關(guān)于時(shí)間的導(dǎo)數(shù)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，

本文編號：2151167