摘要
Consider the following Cauchy problem：where 1 〈 p 〈 2, 1 〈 m 〈 p_~11, and # is a a-finite measure in N. By the Moser＇s iteration method, the existence of the weak solution is obtained, provided that （M＋1）N 〈 P. In mN＋l contrast, if 〉 p, there is no solution to the Cauchy problem with an initial value δ（X）, where 5（x） is the classical Dirac function.
基金
Project supported by the Fujian Provincial Natural Science Foundation of China (No. 2012J01011)
Pan Jinglong’s Natural Science Foundation of Jimei University (No. ZC2010019)
