| THE CAUCHY PROBLEM FOR A CLASS OF DOUBLY DEGENERATE NONLINEAR PARABOLIC EQUATION |
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| 作者姓名： | 刘朝霞 |
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| 作者单位： | School of |
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| 摘 要： | This article studies the Cauchy problem for a class of doubly nonlinear degenerate parabolic equations . Under certain conditions, the author considers its regularized problem and establishes some estimates. On the basis of the estimates, the existence and uniqueness of the generalized solutions in BV space are proved.
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| 关 键 词： | 退化比喻方程 广义解 存在性 唯一性 |
| 收稿时间： | 2004-10-06 |
| 修稿时间： | 2005-07-09 |
THE CAUCHY PROBLEM FOR A CLASS OF DOUBLY DEGENERATE NONLINEAR PARABOLIC EQUATION |
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| Liu Zhaoxia.THE CAUCHY PROBLEM FOR A CLASS OF DOUBLY DEGENERATE NONLINEAR PARABOLIC EQUATION[J].Acta Mathematica Scientia,2006,26(3):519-524. |
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| Authors: | Liu Zhaoxia |
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| Abstract: | This article studies the Cauchy problem for a class of doubly nonlinear degenerate parabolic equations . Under certain conditions, the author considers its regularized problem and establishes some estimates. On the basis of the estimates, the existence and uniqueness of the generalized solutions in BV space are proved. |
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| Keywords: | Degenerate parabolic equation generalized solution existence uniqueness |
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