L-uniqueness of Schrödinger operators restricted in an open domain

نویسنده

  • Ludovic Dan LEMLE
چکیده

Consider the Schrödinger operator A = −∆2 + V acting on space C ∞ 0 (D), where D is an open domain in R. The main purpose of this paper is to present the L∞(D, dx)-uniqueness for Schrödinger operators which is equivalent to the L1(D, dx)-uniqueness of weak solutions of the heat diffusion equation associated to the operator A.

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تاریخ انتشار 2008