共查询到10条相似文献,搜索用时 62 毫秒
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关于拟线性混合型边界问题的概率表示 总被引:1,自引:0,他引:1
关于某些抛物型和椭圆型偏微分方程的混合边界问题的解被表示为一类联系于Ito正向反射边界随机微分方程的反向随机微分方程的解. 相似文献
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主要研究了一类带Robin边界条件的拟线性抛物方程解的整体存在性与爆破问题,利用微分不等式技术,获得了方程的解发生爆破时的爆破时间的下界.然后给出了方程解整体存在的充分条件,最后得到了方程的解发生爆破时发生爆破时间的上界. 相似文献
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Adrian Constantin Joachim Escher 《NoDEA : Nonlinear Differential Equations and Applications》2006,13(1):91-118
We present some results on the global existence of classical solutions for quasilinear parabolic equations with nonlinear
dynamic boundary conditions in bounded domains with a smooth boundary. 相似文献
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We deal with the existence of solutions for double degenerate quasilinear parabolic equations which can degenerate, on a part
of the boundary, on a segment in the interior of the domain and in time.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
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Xu Liu 《Journal of Differential Equations》2012,253(5):1287-1316
This paper is addressed to showing the existence of insensitizing controls for a class of quasilinear parabolic equations with homogeneous Dirichlet boundary conditions. As usual, this insensitizing problem is reduced to a nonstandard null controllability problem of some nonlinear cascade system governed by a quasilinear parabolic equation and a linear parabolic equation. Nevertheless, in order to solve the later quasilinear controllability problem by the fixed point technique, we need to establish the null controllability of the linearized cascade parabolic system in the framework of classical solutions. The key point is to find the desired control function in a Hölder space for given data with certain regularities. 相似文献
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Oscillation of a quasilinear impulsive delay parabolic equation with two different boundary conditions 总被引:1,自引:0,他引:1
In this paper, we discuss the oscillation for a class of quasilinear impulsive delay parabolic equations with two different boundary conditions and obtain several oscillation criteria. 相似文献
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何成 《数学物理学报(B辑英文版)》1997,(4)
1IntroductionConsidertheequationwhereaisaconstantin(0,1).ThesolutionisclearlyWenowomittheviscositytermandaboundaryconditionof(1.1)asfollows:Thesolutionof(1.2)isForesmallandx>E,thetwosolutionsareclosetogether.Theregionwheretheyaredrasticallydifferentisconfinedtotheinterval[0,E],whichisthesthcalledboundarylayer.Notesthatase~0,theboundarylayershrinkstozero,hiltthemaximumdifferencebetweenIReceivedMar.9,1995;revisedSep.18,1996.ThisworkissupportedbyFoundationoflhstituteofMathematics,Acadedasin… 相似文献
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Zhen Hai Liu 《数学学报(英文版)》2005,21(1):197-208
We deal with the existence of periodic solutions for doubly degenerate quasilinear parabolic equations of higher order, which can degenerate, on a part of the boundary, on a segment in the interior of the domain and in time. 相似文献