Verification regarding Neumann conditions at time derivative

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maistral
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Hi, just a question regarding neumann conditions, I seem to have forgotten these things already. I think this question is answerable by a yes or a no.

So given the 2D heat equation,
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If I assign a neumann condition at say, x = 0;
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Does it still follow that at the derivative of t, the condition still holds? I mean:
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Thank you!
 
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