Cauchy problem and initial traces for a doubly nonlinear degenerate parabolic equation
Cauchy problem and initial traces for a doubly nonlinear degenerate parabolic equation
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发表时间：
1996
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通讯作者：
J. Zhao;Z. Xu;赵俊宁
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作者：
J. Zhao;Z. Xu;赵俊宁
研究了双退化抛物型方程的柯西问题及其初始轨迹。在一定的增长条件下，在初始基准u0(x)上证明了解的存在性。所得到的结果在非负的局部有界解的范围内是最优的，对于非负的局部有界解，一个harnack型不等式成立。
The Cauchy problem and initial traces for the doubly degenerate parabolic equations are studied. Under certain growth condition on the initial datum u0(x) as the existence of solution is proved. The results obtained are optimal in the dass of nonnegative locally bounded solution, for which a Harnack-type inequality holds.