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On the Cauchy Problem of Evolution p-Laplacian Equation with Nonlinear Gradient Term |
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Citation: |
Mingyu CHEN,Junning ZHAO.On the Cauchy Problem of Evolution p-Laplacian Equation with Nonlinear Gradient Term[J].Chinese Annals of Mathematics B,2009,30(1):1~16 |
Page view: 2009
Net amount: 1448 |
Authors: |
Mingyu CHEN; Junning ZHAO; |
Foundation: |
the Fujian Provincial Natural Science Foundation of China (No. Z0511048). |
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Abstract: |
The authors study the existence of solution to p-Laplacian equation with nonlinear
forcing term under optimal assumptions on the initial data, which are assumed to
be measures. The existence of local solution is obtained. |
Keywords: |
p-Laplacian equation, Nonlinear gradient term, Measures initial data,
Local solution |
Classification: |
35K15, 35K55, 35K65 |
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