Initial trace for a doubly nonlinear parabolic equation.
Initial trace for a doubly nonlinear parabolic equation.
复制标题
双非线性抛物线方程的初始迹。
DOI：
10.1007/s00028-011-0119-x
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
J. Kinnunen
中科院分区：
文献类型：
--
作者：
K. Ishige;J. Kinnunen
研究一类双非线性抛物型方程的柯西问题。主要结果表明，若Cauchy问题存在非负解，则解的初始迹唯一地给出为满足指数增长条件的非负Borel测度.这将热方程的已知结果推广到非线性情形。
This paper studies the Cauchy problem for a doubly nonlinear parabolic equation. The main result shows that if there is a nonnegative solution of the Cauchy problem, then the initial trace of the solution is uniquely given as a nonnegative Borel measure satisfying an exponential growth condition. This extends the known result for the heat equation to the nonlinear case.