A counterexample in unique continuation

Mathematical Research Letters

Volumn 7, Issue 5-6, 2000, Pages 625-630

  Kenig, Carlos E ^a   Nadirashvili, Nikolai ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034348678     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.2000.v7.n5.a8     Document Type: Article

References (10)

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2. [JK85] D. Jerison and C. E. Kenig, Unique continuation and absence of positive eigenvalues for Schrödinger operators, Ann. of Math. 121, 463-494.
3. [Ken87] C. E. Kenig, Carleman estimates, uniform Sobolev inequalities for second-order differential operators, and unique continuation theorems, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986), pages 948-960, Amer. Math. Soc., Providence, RI, 1987.
4. [Ken89] C. E. Kenig, Restriction theorems, Carleman estimates, uniform Sobolev inequalities and unique continuation, Harmonic analysis and partial differential equations (El Escorial, 1987), pages 69-90, Lecture notes in Math., Springer, 1989.
5. [Man] N. Mandache, A counterexample to unique continuation in dimension 2, Communications in Analysis and Geometry, to appear.
6. [Mül54] C. Müller, On the behavior of the solutions of the differential equation ΔU = F(x, U) in the neighborhood of a point, Comm. Pure Appl. Math. 7, 505-515.
7. [Ste85] E. Stein, Appendix to unique continuation and absence of positive eigenvalues for Schrödinger operators, Ann. of Math. 121, 489-494.
8. N and an application to unique continuation, Geom. Funct. Anal. 2, 225-284.
9. [Wol92b] T. H. Wolff, Note on counterexamples in strong unique continuation problems, Proc. Amer. Math. Soc. 114, 351-356.
10. [Wol95] T. H. Wolff, Recent work on sharp estimates in second order elliptic unique continuation problems, Fourier analysis and partial differential equations (Miraflores de la Sierra, 1992), pages 99-128. Stud. Adv. Math., CRC, Boca Raton, FL, 1995.