A NOTE ON GRADIENT BLOWUP RATE OF THE INHOMOGENEOUS HAMILTON-JACOBI EQUATIONS

• 作 者: 张正策 李振杰
• 机 构: SchoolofMathematicsandStatistics
• 出 处: 数学物理学报：B辑英文版
• 发表日期: 2013年3期
• 关键词: HAMILTON-JACOBI方程 爆破速率 梯度 相似变量 单调递增 爆破率 Pgt 径向解 Gradient blowup Hamilton-Jacobi
• 基金项目: The first author is supported by Youth Foundation of NSFC （10701061）, Fundamental Research Funds for the Central Universities of China, and Scientific Research Foundation for the Returned Overseas Chi

The gradient blowup of the equation u t = △u + a(x) |▽u|p + h(x), where p > 2, is studied. It is shown that the gradient blowup rate will never match that of the self-similar variables. The exact blowup rate for radial solutions is established under th