Heat kernel on a mobius band in a closed form

*To*: mathgroup at smc.vnet.net*Subject*: [mg128461] Heat kernel on a mobius band in a closed form*From*: Andy <ajoshi.sipi at gmail.com>*Date*: Mon, 22 Oct 2012 02:02:32 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-newout@smc.vnet.net*Delivered-to*: mathgroup-newsend@smc.vnet.net

Hi all, Is there a way to get a closed form expression for solution of a heat equation in closed form? I am trying to compute the heat kernel on a mobius band in a closed form. Here is my code: HeatEquation = {D[u[x, y, t], {x, 2}] + D[u[x, y, t], {y, 2}] - D[u[x, y, t], {t, 1}] == 0, {u[x, y, 0] == DiracDelta[x, y],u[x,y,t]==u[-x,y+pi,t]}} DSolve[HeatEquation, u[x, y, t], {x, y, t}] It doesn't simplify or gives me the closed form solution. >From the forums it seems that DSolve is probably not the correct function to do this computation but I don't know how else to go about it. Please help. Thanks, Andy