位置：成果数据库 > 期刊 > 期刊详情页
一类拟线性退化抛物方程组初边值问题正解的存在性
  • 期刊名称：数学学报(中文版)
  • 时间：0
  • 页码：1-12
  • 语言：中文
  • 分类：O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]吉林大学数学研究所,长春130012
  • 相关基金：国家自然科学基金资助项目（10771085）; 吉林大学985工程项目基金; 吉林大学研究生创新基金资助项目
  • 相关项目：与p-Laplace算子相关的发展型方程及方程组研究
作者： 高文杰|郭斌|
关键词： 存在性, P-LAPLACE算子, 退化, 抛物方程组, existence, p-Laplace operator, degenerate, parabolic systems
中文摘要：

研究了带有发展型p-Laplace算子的拟线性抛物方程组在第一初边值下解的存在性.作者利用抛物正则化的方法,通过一系列的估计,证明了所得逼近解的弱收敛性,进而证明了所论问题广义解的存在性.最后作者通过构造上解,利用比较原理获得了该问题全局解存在的充分条件.

英文摘要：

The aim of this paper is to investigate the existence of generalized solutions to coupling evolution p-Laplacian systems with the first initial boundary value conditions.The authors applied the method of parabolic regularization to prove the existence of generalized solution to the problem.By making a sequence of estimates to the solutions,the authors proved the weak convergence of the approximation solution sequence and hence testified the existence of generalized solutions.Finally,the authors found some conditions under which the solutions exists globally.

同期刊论文项目
与p-Laplace算子相关的发展型方程及方程组研究
期刊论文 47
同项目期刊论文
具强阻尼黏弹性波动方程组解的指数衰退
A strongly coupled predatorprey system with modified HollingTanner functional response
Analysis of a prey-predator model with disease in prey
A degenerate parabolic equation with a nonlocal source and an absorption term
Boundedness of global solutions for a porous medium system with moving localized sources
Periodic solutions to an evolution p-Laplacian system
Global and Blow-up solutions to a p-laplace equation with nonlocal source and nonlocal boundary cond
拟线性二阶方程三点边值问题对称正解的存在性
A degenerate and strongly coupled quasilinear parabolic system with crosswise diffusion for a mutual
On the existence and nonexistence of global solutions for the porous medium equation with strongly n
Periodic solutions of non-Newtonian polytropic filtration equations with nonlinear sources
Global existence and blow-up for a class of degenerate parabolic systems with localized source
Global existence and blow-up of solutions to an evolution p-Laplace system coupled via nonlocal sour
Koblitz曲线密码中倍点运算算法的改进
具有L~1初值的非牛顿多方渗流方程解的正性和熄灭性
一类强耦合拟线性退化抛物方程组解的全局存在与非存在性
被捕食者具有流行病的被捕食－－捕食模型分析
一类拟线性退化抛物方程组全局解的存在惟一性
Blow-up vs. global finiteness for an evolution p-Laplace system with nonlinear boundary conditions
A class of nonlinear degenerate parabolic equations not in divergence form
一类具有非线性边界条件的发展型p-Laplace方程组正解的爆破性及整体存在性
Study of weak solutions for parabolic equations with nonstandard growth conditions
Blow-up of a nonlocal semilinear parabolic equation with positive initial energy
一个带有自扩散和交差扩散的年龄结构模型
On the Cauchy problem for the fast diffusion equation
边界受控的非线性扩散方程的整体可解性
具有概周期系数的两种群第Ⅲ类功能反应的全局渐近稳定性
The limiting problem of the drift-diffusion-Poisson model with discontinuous p-n-junctions
Existence of solutions to a class of nonlinear degenerate parabolic equations not in divergence form
食饵被开发并具有Holling Ⅲ型的捕食系统周期解的存在性
Study of the solutions to a model porous medium equation with variable exponent of nonlinearity
Similarity solutions to the power-law generalized Newtonian fluid
具吸收项的发展型p-Laplace方程组解的存在惟一性
发展的p-Laplace方程解的障碍行为
一类具交错扩散的强耦合退化抛物方程组解的整体存在与非存在性
非齐次发展型p-Laplace方程正解的爆破性和存在性
一类具有时滞的SIRS传染病模型的研究
一类串联系统的边界Carleman估计
跳扩散模型下公司的债务价值与最优资本结构
两种群分别有常投放率和常收获率的Holling-Ⅳ类捕食系统
发展的p—Laplace方程解的障碍行为
待定系数法解常系数齐次分数阶微分方程组
A Class of Nonlinear Degenerate Parabolic Equations Not in Divergence Form
一个具有标准发生率的扩散生态—流行病模型分析
一个具非局部边界条件的多孔介质方程组解的全局存在和爆破
对一类源于核反应堆的数学模型解的研究