On the Anormal Uniqueness for a Class of First Order Coupled Elliptic System

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Abstract

In this paper, we studied and completely solved the problem on the anornal uniqueness of the equation system {u_x + ixu_y = -ix²Φv_y v_z + ixu_y = -ix²Φv_y The so-called anormal uniqueness means as follows: suppose all order derivatives of u vanish on ∂D, one can draw the conclusions of u = 0(D), v ≡ const(D).

Keywords:

Coupled elliptic system; Anormal uniqueness
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On the Anormal Uniqueness for a Class of First Order Coupled Elliptic System. (2020). Journal of Partial Differential Equations, 6(4), 289-296. https://www.global-sci.com/index.php/jpde/article/view/3751