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- W3143824351 abstract "There is a long history about the strong unique continuation property, going back to the works of T. Carleman, C. Miiller, E. Heinz, N. Aronszajn and H. O. Cordes. After their works many advances were made, among them, differential inequalities with critical singularities as well as subcritical ones were intensively investigated in connection with the absence of positive eigenvalues in the continuous spectrum ([2], [15], [16], [17], [8], [4]). One of the standard approaches to the study of systems is to reduce them to (quasi-) diagonal ones. However, this approach requires both smoothness and less multiplicity of their eigenvalues ([3], [5], [2] and [11]). Thus, only few attempts have so far been made at studying systems without any assumption on both the regularity and the multiplicity ([9]). In this paper we are concerned with the strong unique continuation property for three types of systems that are beyond the scope of the standard approach. Let L be (sub-) elliptic systems of first order differential opera,. tors defined on a nonempty, open, connected, subset n of Rft. Without loss of generality, we may assume that n contains the origin. The differential inequality with critical singularity is expressed as" @default.
- W3143824351 created "2021-04-13" @default.
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- W3143824351 date "2001-01-01" @default.
- W3143824351 modified "2023-09-27" @default.
- W3143824351 title "Strong Unique Continuation Property for First Order Elliptic Systems" @default.
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