Sentence examples for unique continuation for the from inspiring English sources

In this paper, we are concerned with the unique continuation for the solution of Eq. (1.1).

In Section 2, we prove the Carleman estimate and the unique continuation for the adjoint system.

In this section, we prove the unique continuation for the adjoint system by Carleman estimate.

In this work, we discuss the unique continuation for the linear coupled heat equations.

Then we derive various kinds of quantitative estimates of unique continuation for the anisotropic plate equation.

The study of unique continuation for the solutions for PDEs began at the early of the last centaury.

In [10], the author discusses the unique continuation for stochastic counterpart.

After 1988, there were more results of unique continuation for parabolic equations, and we refer the reader to [2 9], and the rich work cited therein.

The first quantitative result of strong unique continuation for parabolic equations was derived in 1974 in the literature [1].

So when Kato did his work, there was only unique continuation for bounded (V's).

The result has been extended to many more general settings and applied to study Harnack's inequality, unique continuation for nonnegative solutions and regularity of solutions of elliptic equations (cf. [2 8] etc).. Especially, Schechter [7] deduced a similar inequality for (V in S {mathbb{R}^{n}})), here the space (S {mathbb{R}^{n}})) is the classical Stummel-Kato class.