An estimate of the localization for the evolution p-Laplacian equation

作者：Liang Zhilei^*

来源：Applied Mathematics Letters, 2012, 25(10): 1399-1403.

DOI：10.1016/j.aml.2011.12.011

• p-Laplacian equation
• Blow-up
• Localization

Liang and Zhao showed in [Z. Liang, J. Zhao, Localization for the evolution p-Laplacian equation with strongly nonlinear source term, J. Differential Equations 246 (2009) 391-407] that the unbounded solution of the equation u(t) = div(|del u|(p-2) del u) + u(q), (x, t) is an element of R-N x (0, T) is strictly localized for q >= p - 1, provided that the initial function is compactly supported. In this work we give an upper estimate on the localization in terms of the initial support supp u(0)(x) and the blowing-up time T < infinity.

• 出版日期2012-10
• 单位西南大学