Sentence examples for maximum principle implies from inspiring English sources

The maximum principle implies and in.

Then the strong maximum principle implies that, which contradicts the second equality in (4.22).

This critical in nonnegative, then the strong maximum principle implies that is a positive solution of Equation (1).

Hence the maximum principle implies that u 1 ≫ 0, that is, α 0 ≪ α 1, in [ 0, 1 ].

Then the strong maximum principle implies that (Uequiv0 ) in (Q_{overline{t}}), and this is a contradiction.

(A.21) The maximum principle implies that (u-u_{0}leqtheta) in (Omega^{eta}), and hence (u-u_{0}leqtheta) in the whole Ω.

The maximum modulus principle implies that f n converges locally uniformly in Δ ( 0, δ ), and thus { f n } normal at z = 0, which contradicts our assumption that no subsequence of { f n } is normal at 0. □.

Taking u 1 − = min { 0, u 1 } as the test function, we get 0 = 〈 J h ′ ( u 1 ), u 1 − 〉 = ∥ u 1 − ∥ μ p. This implies u 1 ≥ 0 in R N. By the strong maximum principle, we obtain u 1 > 0 in R N. This, combined with the symmetric criticality principle, implies that u 1 is a positive G-symmetric solution of ( P h Q ¯ ).

That's exactly as the equivalence principle implies.

Lightman, A. P. & Lee, D. L. Restricted proof that the weak equivalence principle implies the Einstein equivalence principle.

Then the comparison principle implies (3.6).