A parabolic system with nonlinear boundary conditions is considered. T he existence and uniqueness of a nonnegative classical solution are proved to this problem.
考虑了一个具有非线性边界条件的抛物系统，证明了这个问题非负古典解的存在唯一性。
This dissertation is to discuss the laws of fluids in porous medium for original boundary value problem of some quasi-linear parabolic equations with the third type nonlinear boundary condition.
本文讨论描述流体在稀疏介质中流动规律的一类拟线性抛物型方程具有第三类非线性边界条件的初边值问题。
This paper deals with the initial boundary value problem of a nonlinear degenerate parabolic equation with time delay.
该文研究一带时滞的退化非线性抛物方程的初边值问题。
A class of nonlinear singularly perturbed problem with ultra parabolic equation are considered.
讨论了一类超抛物型方程的非线性奇摄动问题。
This paper mainly deals with an initial-oblique derivative problem for nonlinear nondivergent parabolic systems of second order equations with measurable coefficients in a multiply connected domain.
讨论可测系数的二阶非线性非散度型抛物型方程组在多连通区域上的初-斜微商边值问题。
The initial regular oblique derivative problem for nonlinear parabolic systems of several second order complex equations with measurable coefficients in a multiply connected domain is discussed.
论述了多连通区域上可测系数的二阶非线性抛物[型]方程组的初-正则斜微商问题。
In this paper, an inverse problem of a nonlinear parabolic partial differential equation of formation damage caused by the solids invading during the course of injection is presented.
本文具体讨论了注水过程中由于固体颗粒侵入造成地层伤害的非线性抛物型偏微分方程反问题模型。
Abstract: the global existence and blow-up problem for the parabolic equations with nonlinear boundary conditions were studied.
文摘：讨论了带非线性边界条件的抛物型方程组的解的整体存在性及爆破问题。
In this paper, the author discusses the existence of solutions to initial boundary value problem of nonlinear parabolic equations and obtains the existence theorem.
讨论了一类非线性抛物型方程的初边值问题解的存在性，并得出了解的存在性定理。
This paper deals with the singularity perturbed problem of a class of quasilinear hyperbolic-parabolic type equations subject to nonlinear initial-boundary value conditions.
本文研究一类拟线性双曲—抛物型方程具有非线性初边值条件的奇摄动问题。
In this paper, we consider singularity perturbed problem for a kind of quasilinear elliptic-parabolic type equation with nonlinear boundary value conditions.
本文研究一类拟线性椭圆—抛物型方程，具有非线性边值条件的奇异摄动问题。
In this paper, we consider singularity perturbed problem for a kind of quasilinear elliptic-parabolic type equation with nonlinear boundary value conditions.
本文研究一类拟线性椭圆—抛物型方程，具有非线性边值条件的奇异摄动问题。
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