QQ客服 官方微博 反馈留言

	带梯度项的发展P-Laplace方程解的耗竭; Extinction of Solutions for Evolution p-Laplacian Equations with a Gradient Term
	杨世广钦
	1999
关键词	发展的p-Laplace方程 梯度项 耗竭 Evolution p-Laplacian equation Gradientterm Extinction
英文摘要	考察带梯度项的发展P-lAPlACE方程的第一初边值问题　uT - dIV(｜u｜P- 2u) = - λ｜u｜α- 1u + ｜u｜β, X ∈Ω,T> 0,u = 0, X ∈Ω,T> 0,u(X,0) = u0(X), X ∈Ω,其中P > 2,λ,α和β为正常数,u0(X) ∈l∞(Ω) ∩W1,P0 (Ω).　　众所周知,若方程不带梯度项,上述问题的解当且仅当0 < α< 1 时在有限时间内耗竭.本文的目的是研究方程右边正的梯度项是否会影响解的耗竭性.应用能量方法,我们给出了解在有限时间内耗竭的充分条件.; Consider the first initial-boundary value problem for evolution p-Laplacian equations w ith a gradientterm ut - div(｜u｜p- 2u) = - λ｜u｜α- 1u + ｜u｜β, x ∈Ω,t> 0, u = 0, x ∈Ω,t> 0, u(x,0) = u0(x), x ∈Ω, w here p > 2,λ,αand βare positive constants,u0(x) ∈L∞(Ω) ∩W1,p0 (Ω). It is w ell-known that the solution for this problem w ithout the gradient term in the equation becom es extinctin finite tim e ifand only if0 < α< 1 .The aim ofthis paper is to study w hether or not the positive gradient term on the right hand side of the equation will affect the extinction properties of the solution.By using the energy m ethod, a sufficient condition is given to guarantee thatthe w eak solution w illhave a finite extinction tim e.; 国家自然科学基金!(19771069)
语种	zh_CN
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/119990]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	杨世广钦. 带梯度项的发展P-Laplace方程解的耗竭, Extinction of Solutions for Evolution p-Laplacian Equations with a Gradient Term[J],1999.
APA	杨世广钦.(1999).带梯度项的发展P-Laplace方程解的耗竭..
MLA	杨世广钦."带梯度项的发展P-Laplace方程解的耗竭".(1999).

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。