Find Green's function [imath]G(x,t;x',t')[/imath] for the operator [imath]\displaystyle L \equiv \frac{\partial}{\partial t} - k\frac{\partial^2}{\partial x^2}[/imath] in the region [imath]\{0 < x < a; t > 0 \}[/imath] subject to the conditions [imath]G(0,t;x',t') = G(a,t;x',t') = 0[/imath] and [imath]G(x,t;x',t') = 0[/imath] for [imath]t < t'[/imath].
My attempt:
1- Does this problem depend on assumption?
2- Where is the equation to solve?
3- Are they asking for a partial or complete solution?
4- They didn't say much about [imath]x'[/imath]!
5- Is there a jump in the variable [imath]t'[/imath]? (I don't think so because it is a time variable. Am I correct?)
My attempt:
1- Does this problem depend on assumption?
2- Where is the equation to solve?
3- Are they asking for a partial or complete solution?
4- They didn't say much about [imath]x'[/imath]!
5- Is there a jump in the variable [imath]t'[/imath]? (I don't think so because it is a time variable. Am I correct?)