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| UNIQUENESS OF SOLUTIONS FOR HIGHER DIMENSIONAL QUASILINEAR DEGENERATE PARABOLIC EQUATION |
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Citation： |
Zhao Junning（赵俊宁）.UNIQUENESS OF SOLUTIONS FOR HIGHER DIMENSIONAL QUASILINEAR DEGENERATE PARABOLIC EQUATION[J].Chinese Annals of Mathematics B,1992,13(2):129~136 |
| Page view： 858
Net amount： 716 |
Authors： |
Zhao Junning（赵俊宁）; |
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| Abstract： |
This paper studies the uniqueness of generalized solutions for the first boundary value problem of the form $u_i=\delta A(u,x,t)=\frac{\partial b^{i}(u,x,t)}{\partial x_i}$,where $A_u\geq0$.
It is proved that if $u\inBV_{x}(Q_{x})$ and A(u,x,t) is strictly increasing with respect to u,the solution is unique. |
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