Sentence examples for continuation property from inspiring English sources

It contradicts the unique continuation property of the eigenfunction.

Thus, the unique continuation property holds for L in (U_0).

Then the uniqueness of the solution on [ 0, T ] is direct using the continuation property.

This is the quantitative version of the unique continuation property for equation (1.1).

Unique continuation property and control for the Benjamin-Bona-Mahony equation on a periodic domain are discussed in [5].

But in our case, since M ( ∥ ∇ ⋅ ∥ 2 2 ) △ ⋅ is nonlinear, we cannot use the unique continuation property directly.

Moreover, we have the following unique continuation properties for the strong solution.

We also prove some unique continuation properties of the solution flow in these spaces.

A comprehensive introductions and historical references to Carleman estimates and unique continuation properties may be found, e.g., in [5].

Similar to the proof of Theorem 3.1 [10] and Proposition 4.2 [12], one can prove the following unique continuation properties.

In this paper, we study certain unique continuation properties for solutions of the semilinear heat equation ∂tu−△u= g u), with the homogeneous Dirichlet boundary condition, over Ω× 0,T∗).