Carleman estimates and absence of embedded eigenvalues

Communications in Mathematical Physics

Volumn 267, Issue 2, 2006, Pages 419-449

  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: 33747850139     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-006-0060-y     Document Type: Article

References (13)

1. Froese, R., Herbst, L: Exponential bounds and absence of positive eigenvalues for N-body Schrodinger operators. Commun. Math. Phys., 87(3), 429-447 (1982/83)
2. Froese, R., Herbst, I., Hoffmann-Ostenhof, M., Hoffmann-Ostenhof, T.: On the absence of positive eigenvalues for one-body Schrodinger operators. J. Analyse Math. 41, 272-284 (1982)
3. Ionescu, A.D., Jerison, D.: On the absence of positive eigenvalues of Schrodinger operators with rough potentials, Geom. Funct. Anal. 13(5), 1029-1081 (2003)
4. Kenig, C.E., Ruiz, A., Sogge, C.D.: Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators. Duke Math. J. 55(2), 329-347 (1987)
5. Koch, H., Tataru, D.: Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients. Comm. Pure Appl. Math. 54(3), 339-360 (2001)
6. Koch, H., Tataru, D.: Sharp counterexamples in unique continuation for second order elliptic equations. J. Reine Angew. Math. 542, 133-146 (2002)
7. Koch, H., Tataru, D.: Dispersive estimates for principally normal pseudodifferential operators. Comm. Pure Appl. Math. 58(2), 217-284 (2005)
8. Reed, M., Simon, B.: Methods of modern mathematical physics. IV. Analysis of operators. New York: Academic Press [Harcourt Brace Jovanovich Publishers], 1978
9. Soffer, A., Weinstein, M.I.: Time dependent resonance theory. Geom. Fund. Anal. 8(6), 1086-1128 (1998)
10. Sogge, CD.: Fourier integrals in classical analysis, Volume 105 of Cambridge Tracts in Mathematics. Cambridge: Cambridge University Press, 1993
11. Tataru, D.: On the Fefferman-Phong inequality and related problems. Comm. Partial Differ. Eq. 27(11-12). 2101-2138 (2002)
12. von Neumann, J., Wigner, E.P.: Über merkwürdige diskrete Eigenwerte. Z. Phys. 30, 465-467 (1929)
13. Wolff, T.H.: Recent work on sharp estimates in second order elliptic unique continuation problems. In: Fourier analysis and partial differential equations (Miraflores de la Sierra, 1992), Boca Raton, FL: CRC, 1995, pp. 99-128