On the Cauchy Problem of Evolution p-Laplacian Equation with Nonlinear Gradient Term

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).
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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