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I am learning Mean value property (MVP) of the heat equation. MVP of Laplace equation was relatively easy to understand I think it is because of the spherical symmetry. But I am not able to appreciate the MVP of heat equation. It's not very easy to imagine the "heat ball" in the following theorem from a note:

enter image description here

Here are questions:

  • How do I define a heat ball?
  • How does it actually look like?
  • 0
    What is your question?2012-06-22
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    @LeonidKovalev : My question is how do i define a heat ball ? And how does it actually look like ?2012-06-22
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    Could you give a reference to a text you are reading?2012-06-22
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    @abatkai : I have added the reference . Thank you2012-06-22

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