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I couldn't solve a pde problem with boundary values in mathematica

• To: mathgroup at smc.vnet.net
• Subject: [mg86118] I couldn't solve a pde problem with boundary values in mathematica
• From: atepe <aysegul.tepe at yahoo.com>
• Date: Sun, 2 Mar 2008 13:56:57 -0500 (EST)

Hi,

I am trying to solve the following partial differential equation with 4 boundary conditions with mathematica. But it doesn't work.

sigma is a constant in here.
****************************
Simplify[DSolve[
t[y, z] - \[Gamma]^2*(D[t[y, z], {y, 2}] +
D[t[y, z], {z, 2}]) == \[Sigma], t, {y, z}]]

The boundary conditions are:
t(y,0)=\sigma
t(y,L)=\sigma
t(-h/2,Z)=0
t(h/2,Z)=0

Does anyone know how to solve the problem?