Find Green's function G(x,t;x′,t′) for the operator L≡∂t∂−k∂x2∂2 in the region {0<x<a;t>0} subject to the conditions G(0,t;x′,t′)=G(a,t;x′,t′)=0 and G(x,t;x′,t′)=0 for t<t′.
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 x′!
5- Is there a jump in the variable t′? (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 x′!
5- Is there a jump in the variable t′? (I don't think so because it is a time variable. Am I correct?)