【摘要】 本文得出:当不恒为零的初始数据给在焦散面上时,转移方程(4)的Cauchy问题无解,指出方程(4)的解在焦散面上具有奇异性,并在焦散面近旁给出转移方程(4″)的一种解法.更多还原

【Abstract】 In this paper it is found that the Cauchy problem of transpose equation 2▽φ·▽g + g△φ = 0 does not have solution when a nonvanishing initial value is given on a caustic, and that solutions of the transpose equation possess singularity at a caustic.We give a method to find out the solutions of the improved transpose equation （ cf.[1]）. 2△φ^±·▽g^±+ [△φ±^?1/2^ρ-1/2（▽ρ）²]g^±=0 mear a caustic.更多还原