共查询到20条相似文献,搜索用时 15 毫秒
1.
On Singular Solutions of Boundary Value Problems for Quasilinear Parabolic Equations with Absorption 总被引:1,自引:0,他引:1
The existence and nonexistence of non-trivial solutions for the boundary value problemare studied. 相似文献
2.
具有吸附项的渗流方程有界弱解的广义Harnack不等式@袁洪君@王波... 相似文献
3.
郝兴文 《数学年刊A辑(中文版)》2014,35(6):661-674
非自治退化抛物-双曲型方程可以描述许多自然现象.主要研究这类方程的柯西问题,建立了动力学公式,在对流函数、扩散函数适当光滑性的基础上,证明了该问题动力学解的存在唯一性. 相似文献
4.
Yuan Hongjun 《东北数学》1994,(4)
Solutions to the Equation of Non-Newtonian Polytropic Filtration Under Optimal Condition On Initial ValuesYuanHongjun(袁洪君)(De... 相似文献
5.
Zhang Yongqian 《东北数学》1994,(3)
TheCauchyProblemforaClassofSemilinearWaveEquationswithPiecewiseConstantsDataZhangYongqian(张永前)(InstituteofMathematics,FudanUn... 相似文献
6.
Zhao Junning 《东北数学》1994,(2)
StabilityofSolutionsforaClassofQuasilinearDegenerateParabolicEquations¥ZhaoJunning(赵俊宁)(InstituteofMathematics,JilinUniversit... 相似文献
7.
ADegenerateStefanProblemwithTwoFreeBoundaries¥(李辉来)LiHuilai(DepartmentofMathematics,JilinUniversity,Changchun,130023)Abstract... 相似文献
8.
§1.IntroductionThestudyofslowlyoscilating(S.O.)solutionsofdelaydiferentialequationswasinitiatedinthe50'sbypioneeringworkofWri... 相似文献
9.
Hui Jun FAN Institute of Mathematics Academy of Mathematics System Sciences Chinese Academy of Sciences Beijing P.R.China 《应用数学学报(英文版)》2004,(4)
This paper discusses the Cauchy problem of the equationu_t=▽·(▽_u~m|~(p-2)▽_u~m)-u~qwith initial datum a measure.Under the assumption of the parameters,one proves the existence andnou-existence of the non-negative generalized solution. 相似文献
10.
Cauchy Problem of Some Doubly Degenerate Parabolic Equations with Initial Datum a Measure 总被引:1,自引:0,他引:1
This paper discusses the Cauchy problem of the equation
with initial datum a measure. Under the assumption of the parameters, one proves the existence and non-existence of the non-negative
generalized solution.
Member in Partner Group of MPI for Math. in Leipzig at AMSS.
Supported by the Research Fund for Returned Overseas Chinese Scholars 20010107 相似文献
(1) |
11.
本文研究了两个空间变量的拟线性退缩抛物方程Cauchy问题广义解的正则性问题。推广了文献[1]的结果。 相似文献
12.
本文研究了一般耦合Maxwell-Schrodinger方程的Cauchy问题,采用正则化方法,借助于推广的H.Pecher引理及其它分析工具,在光滑解的框架下,建立了任意维空间中一般耦合Maxwell-Schrodinger方程的Cauchy问题的局部适定性. 相似文献
13.
Yuan Hongjun 《东北数学》1999,(2)
§1.IntroductionInthispaperweconsiderthefastdifusionequationwithabsorptionut=Δum-up(1)inQ=Rn×(0,+∞)withtheinitialconditionu(x,... 相似文献
14.
PropagationofPerturbationsofSolutionsforaDoublyDegenerateNonlinearParabolicEquationWangYifu(王一夫);YinJingxue(尹景学)(Departmentof... 相似文献
15.
In this paper, the authors study an initial and boundary value problem to a system of evolution p-Laplacian equations coupled with general nonlinear terms. The authors use the method of regularization to construct a sequence of approximation solutions with the help of monotone iteration technique and hence obtain the existence of solutions to a regularized system of equations. Then the existence of solutions to the system of evolution p-Laplacian equations is obtained with the use of a standard limiting process. The uniqueness of the solution is also proven. 相似文献
16.
17.
一类非线性渗流方程的Cauchy问题 总被引:1,自引:0,他引:1
讨论具有强非线性源和对流项的一般渗流方程以RN中某有界连续函数u0(x)或某一Radon测度为初值的Cauchy问题弱解的存在性,得到关于解的一系列重要估计. 相似文献
18.
本文研究二阶退化拟线性抛物型方程的初-边值问题.在适当带权的Sobolev空间,我们利用伪单调算子理论证明了解的存在性. 相似文献
19.
Zhenhai Liu 《数学学报(英文版)》2000,16(2):313-324
In this paper, we consider nonlinear degenerate quasilinear parabolic initial boundary value problems of second order. Using
results from the theory of pseudomonotone operators, we show that there exists at least one weak solution in a suitable weighted
Sobolev space.
Received February 4, 1997, Revised October 20, 1997, Accepted March 17, 1998 相似文献
20.
The Initial Boundary Value Problem for Symmetric Long Wave Equations with Nonhomogeneous Boundary Value 总被引:1,自引:0,他引:1
Miao Chcnxia 《东北数学》1994,(4)
The Initial Boundary Value Problem for Symmetric Long Wave Equations with Nonhomogeneous Boundary ValueMiaoChcnxia(苗晨霞)(Insti... 相似文献