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：
该文运用Schauder不动点方法对一类具有局部任意阶增长、含有记忆项的拟线性抛物方程证明了全局弱解的存在性.具体地,通过固定系数及源项中的函数变量构造一个线性映射,其定义域取值范围是有界的,但可以局部任意阶增长.由极值原理知其值域包含在一个有界凸集中,又注意到解关于数据的连续依赖性,所以该映射是连续的,结合紧性得知存在不动点.证明中仅要求系数关于函数变量连续,关于时空变量可测即可.另外,对含记忆项的情形也进行了考察.
英文摘要：
Existence theory for a kind of quasi-linear parabolic equations is established by the Schauder fixed point method.Actually a linearized map is defined by fixing the function variables in the coefficients and the right-hand term.Its domain is chosen to be bounded but a locally arbitrary growth condition is considered.Therefore its range is contained in a closed convex set through the maximum principle.This map is continuous since the solution smoothly depends on the data.Compactness is deduced from the embedding theorem,so there exists a fixed point.The coefficients are just required to be continuous with respect to the function variables,but can be only measurable with respect to the space and time variables.Moreover,memory terms are also considered.
同期刊论文项目
同项目期刊论文
Error estimate of the homogenization solution for elliptic problems with small periodic coefficients
A bi-value coding parameterization scheme for the discrete optimal orientation design of the composi
High temperature thermomechanical behavior of silica-phenolic composite exposed to heat flux environ
Second-Order Two-Scale Analysis Method for the Heat Conductive Problem with Radiation Boundary Condi
The Second-Order Two-Scale Method for Heat Transfer Performances of Periodic Porous Materials with I
The Statistical Second-Order Two-Scale Method for Heat Transfer Performance of Random Porous Materia
The statistical second-order two-scale analysis for dynamic thermo-mechanical performances of the co
The lattice structure configuration design for stereolithography investment casting pattern using to
Investigation on the compressive properties of the three dimensional four-directional braided compos
Effect of Interface Properties on Mechanical Behavior of 3D Four-Directional Braided Composites with
A new computational algorithm for modeling thermo-mechanical frictional contact problems of polycrys
The Thermo-Mechanics Coupled Model of Polycrystalline Aggregates Based on Plastic Slip System in Cry
Investigations on the deformation behavior of polycrystalline Cu nanowires and some factors affectin
The statistical second-order two-scale method for mechanical properties of statistically inhomogeneo
Shape optimization of 3D curved slots and its application to the squirrel-cage elastic support desig
A bispace parameterization method for shape optimization of thin-walled curved shell structures with
A strain energy model for the prediction of the effective coefficient of thermal expansion of compos
Investigations on the deformation mechanisms of single-crystalline Cu nanowires under bending and to
Microstructure modelling and prediction of effective elastic properties of 3D multiphase and multila
Atomistic Simulations on the Mechanical Behavior of Single-Crystalline Cu Nanowires Under Bending an
期刊信息
位置：