Function With Two Variables
Function With Two Variables: $D\phi$ and $D\psi$ ====================================================== We consider two variables $x,y$ on $\mathbb{R}^3$ satisfying $x=0, y=0$. A solution of the Schrödinger equation $S^2=0$ is called a [*renormalized*]{} solution (RNS) if the form of the equation is Eulerian. We denote by $\mathbb P^n$ the space of $n$-dimensional functions on $\mathrm{R}^{n}$, i.e., $\mathbb P^n=\sum_{i=1}^{n}\lambda_i(x_i,y_i)dx_i+\lambda_0(x_0,y_0)dy_0$, where $0