Sharp counterexamples in unique continuation for second order elliptic equations

Journal fur die Reine und Angewandte Mathematik

Volumn , Issue 542, 2002, Pages 133-146

  Koch, Herbert ^a   Tataru, Daniel ^b  

^a TU DORTMUND UNIVERSITY   (Germany)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036115590     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: 10.1515/crll.2002.003     Document Type: Article

References (6)

1. David Jerison and Carlos E. Kenig, Unique continuation and absence of positive eigenvalues for Schrödinger operators, with an appendix by E. M. Stein, Ann. Math. (2) 121(3) (1985), 463-494.
2. Carlos Kenig and Nikolai Nadirashvili, A counterexample in unique continuation, Math. Res. Lett. 7 (5-6) (2000), 625-630.
3. Herbert Koch and Daniel Tataru, Carleman estimates and unique continuation for second order elliptic equations with nonsmooth coefficients, CPAM 54 (3) (2001), 339-360.
4. Niculae Mandache, A counterexample to unique continuation in dimension two, Commun. Anal. Geom., to appear.
5. Elias M. Stein, Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals, Princeton University Press, Princeton, NJ, 1993.
6. Thomas H. Wolff, Recent work on sharp estimates in second order elliptic unique continuation problems, in: Fourier analysis and partial differential equations (Miraflores de la Sierra 1992), CRC, Boca Raton, FL (1995), 99-128.