| The heat equation in R with anti-periodic boundary condition |
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| 作者姓名： | 汪更生 刘昌良 |
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| 作者单位： | Departmeut of Mathetnatics，Huazhong Normal Univefsity，Wuhan 430079，Chitza |
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| 摘 要： | 1Intr0ducti0nThispaPerdeaIswiththef0llowingproblerns:whereTisanypositivenumberandaisarealnumberwithIal31.In1],A.Pazydiscussedtheproblelnasfollows:Heobtainedtheexistenceanduniqueness0fthesolutionfor(P3)intl1espaceC0,1lundersomehypotheses0nf.(P3)isannonlinearheatequati0nwithinitialconditionandperi0dicboundaryc0nditi0n.Recentlysomeauthorshavediscussedsomedtherentialequationswithantiperi0dicboundarycondition8(2],3]).However,theyonlystudiedtheclassicalsolutionslikewhatA.Pazydidforperiodicb…
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THE HEAT EQUATION IN R WITH ANTI-PERIODIC BOUNDARY CONDITION |
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| Wang Gengsheng , Liu Changliang.The heat equation in R with anti-periodic boundary condition[J].Acta Mathematica Scientia,1999,19(4):391. |
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| Authors: | Wang Gengsheng Liu Changliang |
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| Abstract: | This paper is concerned with some nonlinear heat equations with initial condition and anti-periodic boundary condition. Also some two-point value nonlinear heatequations witk anti-periodic boundary condition are discussed. The ckistence and umqueness of the solutions are given. Some asymptotic behaviors of the solutions are studied. |
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| Keywords: | Semigroup m-dissipative heat equation antiperiodic solutions |
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