Unknown parameters on equation and boundary conditions

[hei6775]

Hello, I have one question about the unknown parameters on equation and boundary conditions. Yes, both equation parameter $D$ and boundary conditions $B$ are unknown. The PDE is:
$$\frac{\partial c}{\partial t} = D\frac{\partial^2 c }{\partial x^2}$$
The BC is $D\frac{\partial c}{\partial t}=B$ and IC is $c(x,0)=1$

from my experiment it seems that the loss does not decrease. Can deepxde solve this similar problem?

[lululxvi]

It is tricky to implement an inverse problem with unknown in BC. You can assume the BC condition is another PDE only defined in the boundary locations.