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Use OpenFOAM solving simple PDE.

Hi Guys,

I want to solve this equation:IMAGE 1.In my solver I write my equation in this form:Is this write?

Code:

solve

            (

                fvm::laplacian(T)-a*pow(T,4)

            );

Luckly I can solve this equation,but my problem is only a is a very small number such as 0.000000000000001 can this equation be solved.

I want to use OpenFOAM solving this simple PDE I think its not a thing.There must be something wrong in my setting.Anyone help me check it out?and how can I get the analytic solution?Thanks in advance.