Sentence examples for local uniqueness from inspiring English sources

A local uniqueness is proved for the inverse problem.

The local uniqueness and stability of the solution were proved.

We prove the local uniqueness of the optimal control.

As a consequence, we prove the time local uniqueness of optimal control.

Further, we study the time local uniqueness of the optimal controls for distributive observation.

Moreover, in this paper, we discuss the time local uniqueness of optimal control for distributive observation.

Before stating our main result, let us recall some results on the local existence, uniqueness, and blow-up of the solution.

Since we are motivated by the boundary rigidity problem, and to simplify the exposition, we study only tensors of order 2. Theorem 2.16 and especially estimate (99) allow us to prove the following local generic uniqueness result for the non-linear boundary rigidity problem.

Also, according to [9] the MAG can learn the MN's link-local address by snooping DAD messages sent by the MN for establishing the link-local address uniqueness on the access link.

Based on them, the local existence-uniqueness of positive solutions for nonlinear boundary value problems which include Neumann boundary value problems, three-point boundary value problems and elliptic boundary value problems for Lane-Emden-Fowler equations was proved.

The Cauchy problem for the Poisson Nernst Planck/Navier Stokes model was investigated by the first author in [J.W. Jerome, An analytical approach to charge transport in a moving medium, Transport Theory Statist. Phys. 31 (2002) 333 366], where a local existence-uniqueness theory was demonstrated, based upon Kato's framework for examining evolution equations.