2楼: Originally posted by acmuser at 2012-05-22 15:46:32:
domain and boundary condition?

4楼: Originally posted by leedobb at 2012-05-22 15:59:01:
我要的是解析的，不需要boundary，domain整个实数域。

其实若把左边看成算子H*f, H= e^(2x) \nabla^2，其实就是求算子H的特征解及特征值m

7楼: Originally posted by acmuser at 2012-05-23 00:16:30:
If you do separation of variables, u=X(x)Y(y), you could obtain Y(y)=exp(iky), and X"(x)/X(x) = mexp(2x)+k^2,
by linearity, we can consider X"(x)/X(x) = m exp(2x) and X"(x)/X(x) separ

7楼: Originally posted by acmuser at 2012-05-23 00:16:30:
If you do separation of variables, u=X(x)Y(y), you could obtain Y(y)=exp(iky), and X"(x)/X(x) = mexp(2x)+k^2,
by linearity, we can consider X"(x)/X(x) = m exp(2x) and X"(x)/X(x) separ