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1.
Some Properties of Solutions for Viscous Cahn-Hilliard Equation   总被引:1,自引:0,他引:1  
§1.IntroductionInthispaper,westudytheviscousCahn-Hiliardequationut+γΔ2u-kΔut=Δφ(u),(1.1)whicharisesfrommodelingthedynamic...  相似文献   

2.
关于迭代函数方程f~2(x)=af(x) bx的通解   总被引:2,自引:0,他引:2  
设λ的二次三项式λ2-aλ-b的两个零点为λ1=r,λ2=s(a及b为实数).对0<r<s,r<0<s≠-r及r=s≠0这三种情形,J.Matkowski与WeinianZhang在“Methodofcharacteristicsforfunctionalequationsinpolynomialform”一文中给出了迭代函数方程f2(x)=af(x)+bx,对任x∈R;f∈C0(R,R)(1)的通解,并证明了当r及s非实数时方程(1)无解.对r=-s≠0的情形,M.Kuczma已给出了方程(1)的通解.本文则对r<s<0及rs=0这两种情形给出了方程(1)的通解.此外,本文还给出了r<0<s≠-r时关于方程(1)的通解的一个简洁的证明  相似文献   

3.
江兆林  郭运瑞 《数学季刊》1996,11(2):106-110
NonsingularityonLevel-2(r_1,r_2)-circulantMatricesofType(m,n)JiangZhaolin(江兆林)(Dept.ofMath.,LinyiTeacher'sCollege,Shandong,Lin...  相似文献   

4.
§1.IntroductionLetMbeann-dimensionalclosedminimalyimmersedsubmanifoldintheunitsphereSn+p,Sthesequreofthelengthofthesecondfund...  相似文献   

5.
袁俭  徐扬 《数学季刊》1998,13(4):35-40
§1. IntroductionIn1995,Mr.XuYang,inhisdoctoraldissertation[1],firstintroducedadoublelattice-or-deredalgebraicstructurecalledl-moduleanddiscusseditsalgebraicandanalyticalproperties,bywhichhedealtwiththeproblemoflattice-valuedgameandsetuptheelementalt…  相似文献   

6.
Theorem1 Letm∈Nandm1,P(x)beanarbitraryorderpartialdifferentialopera-tor.Thenf(x,t),φj(x)∈J.(WhereJstandforthesetofanalyticfunctioninthispaper)t+P(x)mu=f(x,t)jutjt=0=φj(x)  x∈Rn,t∈R1j=0,1,2,…,m-1.u(x,t)=∫t0(t-τ)m-1(m-1)!e-(t-τ)P(x)f(x,τ)dτ+e-…  相似文献   

7.
Cn中有界对称域上不同加权Dirichlet空间之间的复合算子   总被引:2,自引:0,他引:2  
§1. IntroductionLetΩbeaboundedsymmetricdomainwithitsstandardrealizationinCnandnormalized(Euclidean)volumemeasuresothatυ(Ω)=1.LetK(·,z)denotetheBergmankernalfunc-tionatz∈Ω.TheBergmanmetriconΩisdefinedbyGz=(gij(z))=122zizjlogK(z,z) 1i,jn.Ifγ:[0,1]…  相似文献   

8.
邱瑞峰 《东北数学》2000,16(4):484-490
§ 1.Introduction LetMbeacompact 3 manifold .IfthereisaproperlyembeddedclosedsurfaceSinMwhichseparatesMintotwocompressionbodiesH1andH2 ,thenMcanbewrittenasM =H1∪SH2 .ThisstructureonMiscalledaHeegaardsplittingofMandSisasplittingsurface .H1∪SH2 issaidtobereducible…  相似文献   

9.
1.G.M.Zaslavskyetc.[1]consideredamotionequationofchargedparticleinamagneticfieldwhichhasthefolowingform¨r=emE(x,t)+emc[r,B0],...  相似文献   

10.
§1. IntroductionInthispaper,westudytheexistenceandnonexistenceofglobalpositivesolutionsofthefollowingquasilinearparabolicequationswithnon-linearboundaryconditions:ut=1m△um-un,   x∈Ω,t>01m·umγ=up,x∈Ω,t>0(1)u(x,0)=u0(x)>0,x∈Ω-wheren,m,parepositiveco…  相似文献   

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