The earth has formed so many years. The inner temperature are much higher
than the surface and it it keep balanced. It seems dificult to explain this by the Heat equation. Does some one know why the temperatures inside does not approach the surface?
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The regional fractional laplacian is defined by (-\Delta)_D^a u(x)=-C P:V. \int_D\frac{u(y)-u(z)}{|y-z|^{N+2a}}dy, where D is a C^2 domain.
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Boundary blow-up solution is usually found by Perron's method in the classical sense.
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