Show that the tangent to p in k is parallel

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Reference no: EM133025102

Question: Let be u(x, t) a subsolution of heat equation, i.e, satisfies u_xx - u_t ≥ 0, (x, t) ⊂ E ⊂ R².

Let be K a disk, K¯ ⊂ E.

Suppose that:

m´ax u = M
E

u < M in K

u = M in a point P ∈ ∂K

Show that the tangent to P in K is parallel to the x-axis.

Reference no: EM133025102

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