共查询到18条相似文献,搜索用时 78 毫秒
1.
Liang Xuexin 《数学季刊》1996,(1)
Blow Up for Solutions of Nonlinear Doubly Degenerate Parabolic EquationBlowUpforSolutionsofNonlinearDoublyDegenerateParabolic... 相似文献
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Inmanyapproximationcases,wecansumlotsofphysicalphenomenonsuptoKlein_gor donequationutt- (uxx+uyy) +α2 u +g(uu )u =0 ,(1 )whereg(z)isafunctionofzandu iscojugatecomplexnumberofu .ManyscholarshavebeeninterestedinanalyticsolutionofEq .(1 ) .Sinceitisestablihed .Papers [1 ,2 ]and [3]viewedrespecrtivelyaccuratesolutionandanalyticsolutionofEq .(1 )wheng(z) =βz .Inpa per [4] ,weobtainedaclassofanalyticsolutionofEq .(1 )wheng(z) =βz1 /k,k∈R+ andaclassofanalyticsolutionofgeneralizedSchrodingerequ… 相似文献
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PropagationofPerturbationsofSolutionsforaDoublyDegenerateNonlinearParabolicEquationWangYifu(王一夫);YinJingxue(尹景学)(Departmentof... 相似文献
4.
Hongjun YUAN 《数学年刊B辑(英文版)》2007,28(4):475-498
The aim of this paper is to study the continuity of weak solutions for quasilinear degenerate parabolic equations of the form U_t-Δφ(u)=O, whereφ■C~1(R~1)is a strictly monotone increasing function.Clearly,the above equation has strong degeneracy,i.e.,the set of zero points ofφ′(·)is permitted to have zero measure. This is an answer to an open problem in[13,p.288]. 相似文献
5.
Meng XU Ya Zhe CHEN 《数学学报(英文版)》2006,22(3):793-806
In this paper, we investigate the interior regularity including the local boundedness and the interior HSlder continuity of weak solutions for parabolic equations of the p(x, t)-Laplacian type. We improve the Moser iteration technique and generalize the known results for the elliptic problem to the corresponding parabolic problem. 相似文献
6.
Existence and Multiplicity of Positive Solutions for Fractional Differential Equation with Parameter 下载免费PDF全文
In this paper, by using the ?xed point theorem for a cone map, we study the existence and multiplicity of positive solutions for a class of fractional di?erential equation with parameter. 相似文献
7.
Exact Solutions of Fisher and Generalized Fisher Equations with Variable Coefficients 总被引:1,自引:0,他引:1
Arzu Ogun Cevat Kart 《应用数学学报(英文版)》2007,23(4):563-568
In this work,we consider a Fisher and generalized Fisher equations with variable coefficients.Usingtruncated Painlevé expansions of these equations,we obtain exact solutions of these equations with a constrainton the coefficients a(t)and b(t). 相似文献
8.
In this paper,we use a unified framework to study Poisson stable(including stationary,periodic,quasi-periodic,almost periodic,almost automorphic,Birkhoff recurrent,almost recurrent in the sense of Bebutov,Levitan almost periodic,pseudo-periodic,pseudo-recurrent and Poisson stable)solutions for semilinear stochastic differential equations driven by infinite dimensional L′evy noise with large jumps.Under suitable conditions on drift,diffusion and jump coefficients,we prove that there exist solutions which inherit the Poisson stability of coefficients.Further we show that these solutions are globally asymptotically stable in square-mean sense.Finally,we illustrate our theoretical results by several examples. 相似文献
9.
Luchuan Zeng 《高等学校计算数学学报(英文版)》2006,15(1):31-39
Let 1<ρ≤2,E be a real ρ-uniformly smooth Banach space and T:E→E be a continuous and strongly accretive operator.The purpose of this paper is to investigate the problem of approximating solutions to the equation Tx=f by the Ishikawa iteration procedure with errors (?) where x_0 ∈ E,{u_n},{υ_n}are bounded sequences in E and{α_n},{b_n},{c_n},{a_n~'},{b_n~'},{c_n~'} are real sequences in[0,1].Under the assumption of the condition 0<α≤b_n c_n,An≥0, it is shown that the iterative sequence{x_n}converges strongly to the unique solution of the equation Tx=f.Furthermore,under no assumption of the condition(?)(b_n~' c_n~')=0,it is also shown that{x_n}converges strongly to the unique solution of Tx=f. 相似文献
10.
For the Monge-Amp`ere equation det D2u = 1, the authors find new auxiliary curvature functions which attain their respective maxima on the boundary. Moreover, the upper bounded estimates for the Gauss curvature and the mean curvature of the level sets for the solution to this equation are obtained. 相似文献
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Chen Yazhe 《数学年刊B辑(英文版)》1987,8(3):343-356
This paper is concerned with the parabolic equation
$\frac{\partial u}{\partial t}-div(|\bigtriangledown u|^{p-2}\bigtriangledown u)=0,x\in \Omega \subseteqq R^n,t>0$
with $p>max{3/2,2N/(N+2)}$ which is degenerate if p<2 er singular if 3/2
相似文献
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在一定的结构性条件下,证明了如下形式的拟线性退化抛物方程 Cauchy问题解的稳定性. 相似文献
15.
YE Yao-jun LIU Qiu-xiang 《数学季刊》2005,20(4):390-394
In this paper we study the decay estimate of global solutions to the initialboundary value problem for double degenerate nonlinear parabolic equation by using a difference inequality. 相似文献
16.
We investigate the properties of the interface of the solution for a doubly nonlinear degenerate parabolic equation and show that the interface is nondecreasing and Lipschitz continuous. 相似文献
17.
LIU Changchun LIAN Songzhe WANG Zhao 《偏微分方程(英文版)》2009,(3):205-217
In this paper, we study a generalized thin film equation which is relevant to capillary driven flows of thin films of power-law fluids. We prove that the generalized thin film equation in dimension d ≥ 2 has a unique C^1 source type radial self-similar nonnegative solution if 0 〈 n 〈 2p - 1 and has no solution of this type if n ≥ 2p - 1. 相似文献
18.
In this paper, we study the boundary value problem (BVP) for a degenerate parabolic equation. By introducing a proper notion of weak solutions, we prove the uniqueness and existence of weak solutions of the problem. The localization of weak solutions is also discussed, which plays a key role in the proof of the uniqueness. 相似文献