| NONHOMOGENEOUS HOPF EQUATIONS IN HIGHER DIMENSIONS |
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| 作者单位： | Department of Mathematics，Capital Normal University，Beijing 100037，China |
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| 摘 要： | 1.IntroductionWeconsiderthefollowingequationsHeretheunkownfunctionisu~(ul,u2)',u.)andu'V~Z:=,nib.Whenn~1,(1.1)isBurger'sequationwithviscosityeand(1.2)isHopfequationwithnonhomogeneoustermb(x,t).Ladyzhenskayahajsinvestigatedtheinitial-boundaryvalueproblom…
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NONHOMOGENEOUS HOPF EQUATIONS IN HIGHER DIMENSIONS |
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| Authors: | JIU Quansen |
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| Abstract: | The existence and uniqueness of the local classical solution of nonhomogenuous Hopf equations in higher dimensions are proved in this paper. This solution is obtained by vanishing the viscosity term of Burger's equations in higher dimensions. |
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| Keywords: | Existence uniqueness non-strictly hyperbolic equations Hopf equations |
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