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NDSolve solution range problem

I try to solve a partial differential equation numerically with NDSolve (see
attached .nb-file). 

[Contach the author to obtain this attachment -- moderator.]

I was wondering why the InterpolatingFunction is not defined on the domain I
specified. Especially annoying is that in the second independent variable y
the domain is {-1.,-1.}.

Can anybody explain this behaviour to me and give me a solution?

Thank you in advance,


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