欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
在齐次Dirichlet边界条件研究如下抛物系统其中x_0（t）：R~＋→（0,a）是Holder连续函数;常数0≤α,β〈1,p_1,p_2,q_1,q_2,k_1,k_2〉0.利用正则化方法,在一定的假设条件下证明了经典解的存在性.接着利用比较原理证明了该系统正解的整体存在性和爆破性.最后给出了爆破解的精确爆破速率和爆破模式.
英文摘要：
The aim of this paper is to investigate the following parabolic system under homogeneous Dirichlet boundary condition,where x_0（t）：R~＋→（0,a） is Holder continuous,and the constants 0≤α,β 1,p_1,p_2,q_1,q_2,k_1,k_2 0.Under appropriate hypotheses,we first prove the local existence of classical solution by a regularization method.Then we discuss the global existence and blow-up of positive solutions by using a comparison principle.Finally,we give the precise blow-up estimates and the uniform blow-up profiles.
同期刊论文项目
同项目期刊论文
Positive steady state solutions of a Leslie–Gower predator–prey model with Holling type II functiona
Global asymptotic stability of positive steady states of an n-dimensional ratio-dependent predator-p
The existence, bifurcation and stability of positive stationary solutions of a di usive Leslie-Gower
Positive solutions for a modified Leslie-Gower prey-predator model with Crowley-Martin functional re
On existence, multiplicity, uniqueness and stability of positive solutions of a Leslie–Gower type di
Positive solutions for a Lotka-Volterra prey-predator model with cross-diffusion and Holling type-II
Global asymptotics stability of positive steady states of an n-dimensional ratio-dependent predator-
Positive steady state solutions of a diffusive Leslie-Gower predator-prey model with Holling type II
Upper bound estimate for the blow-up time of anevolution m-laplace equation involving variable sourc
期刊信息
位置：