| UNIQUENESS OF GENERALIZED SOLUTION FOR THE CAUCHY PROBLEM OF TRANSPORTATTION EQUATIONS |
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| 作者姓名： | 王振 丁夏畦 |
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| 作者单位： | Wang Zhen (Young Scientist Laboratory of Math. Phys.，Inst. of Math.Phys.，Academia Sinica，Wuhan 430071，China Inst. of Math.，Shantou Univ.，Shantou 515063，China |
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| 摘 要： | 1IntroductionInthepresentpaper,weconsidertheuniquenessofsolutionforthetransportationsystemwithinitialdatawherepanduaredensityandvelocityrespectively.Thesystemofcollservationlaws(1.l)describesthefluidmechanicswithconstantpressure,whichisusedinplasmaphysicswhosepressureisassumedtobeconstant.TheCauchyproblemforthissystemisnotwell-posedintheclassofboundedmeasurablefunctions(see31).In8],Z.Wang,F.HuangandX.DinghaveprovedtheealstenceofsolutionsdefinedbyLebesgue--Stieltjesintegral.Beforedetaildi…
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UNIQUENESS OF GENERALIZED SOLUTION FOR THE CAUCHY PROBLEM OF TRANSPORTATTION EQUATIONS |
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| Wang Zhen.UNIQUENESS OF GENERALIZED SOLUTION FOR THE CAUCHY PROBLEM OF TRANSPORTATTION EQUATIONS[J].Acta Mathematica Scientia,1997(3). |
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| Authors: | Wang Zhen |
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| Abstract: | In this paper, we prove the uniqueness of generalized solution defined by Lebesgue-Stieltjes integral for the Cauchy problem of transportation equations. Our results are based on the discussions for linear system with discontinuous coefficient. |
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| Keywords: | hyperbolic system generalized solution Lebesgue-Stieltjes integral generalized potential |
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