Complex spherical waves and inverse problems in unbounded domains

Inverse Problems

Volumn 22, Issue 6, 2006, Pages 2299-2309

  Salo, Mikko ^a   Wang, Jenn Nan ^b  

^a UNIVERSITY OF HELSINKI   (Finland)

^b NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FUNCTION EVALUATION; INVERSE PROBLEMS; POLYNOMIALS; PROBLEM SOLVING;

BOUNDED DOMAINS; CALDERON-TYPE FUNCTIONS; SPHERICAL WAVES;

WAVES;

EID: 33846067188     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/22/6/023     Document Type: Article

References (14)

1. Calderón A 1980 On an inverse boundary value problem Seminar on Numerical Analysis and its Applications to Continuum Physics, Soc. Brasileira de Matemtica (Río de Janeiro) pp 65-73
2. Dos Santos Ferreira D, Kenig C, Sjöstrand J and Uhlmann G 2006 Determining the magnetic Schrödinger operator from partial Cauchy data Comm. Math. Phys. to appear (Preprint math.AP/0601466)
3. Greenleaf A and Uhlmann G 2001 Local uniqueness for the Dirichlet-to-Neumann map via the two-plane transform Duke Math. J. 108 599-617
4. Ide T, Isozaki H, Nakata S, Siltanen S and Uhlmann G 2005 Probing for electrical inclusions with complex spherical waves Commun. Pure Appl. Math. to appear
5. Ikehata M 2001 Inverse conductivity problem in the infinite slab Inverse Problems 17 437-54
6. Isozaki H and Uhlmann G 2004 Hyperbolic geometry and the local Dirichlet-to-Neumann map Adv. Math. 188 294-314
7. Jerison D and Kenig C 1985 Unique continuation and absence of positive eigenvalues for Schrödinger operators Ann. Math. 121 463-94
8. Kenig C, Sjöstrand J and Uhlmann G 2004 The Calderón problem with partial data Ann. Math. (Preprint math.AP/0405486) submitted
9. p estimates Ann. H Poincaré to appear (Preprint math-ph/0603080)
10. Nakamura G, Uhlmann G and Wang J-N 2005 Oscillating-decaying solutions, Runge approximation property for the anisotropic elasticity system and their applications to inverse problems J. Math. Pures Appl. 84 21-54
11. Regbaoui R 1997 Strong uniqueness for second order differential operators J. Funct. Anal. 141 201-17
12. Nakamura G, Uhlmann G and Wang J-N Oscillating-decaying solutions for elliptic systems Contemp. Math.
13. Sylvester J and Uhlmann G 1987 A global uniqueness theorem for an inverse boundary value problem Ann. Math. 125 153-69
14. Uhlmann G and Wang J-N Complex spherical waves for the elasticity system and probing of inclusions SIAM J. Math. Anal. to appear