On the cauchy problem of evolution p-Laplacian equation with nonlinear gradient term

Mingyu Chen; Junning Zhao

doi:10.1007/s11401-008-0049-2

Chinese Annals of Mathematics, Series B ›› 2009, Vol. 30 ›› Issue (1) : 1 -16. DOI: 10.1007/s11401-008-0049-2

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On the cauchy problem of evolution p-Laplacian equation with nonlinear gradient term

Mingyu Chen ¹^,^a
, Junning Zhao ²

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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

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Mingyu Chen, Junning Zhao. On the cauchy problem of evolution p-Laplacian equation with nonlinear gradient term. Chinese Annals of Mathematics, Series B, 2009, 30(1): 1-16 DOI:10.1007/s11401-008-0049-2

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