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A source time reversal method for seismicity induced by mining
On the set of metrics without local limiting Carleman weights
E.T.S de Ingenieros Navales, Universidad Politécnica de Madrid, Avd. Arco de la Victoria, No4, Ciudad Universitaria Madrid -28040, Spain |
In the paper [
References:
[1] |
P. Angulo-Ardoy, D. Faraco, L. Guijarro and A. Ruiz,
Obstructions to the existence of limiting Carleman weights, Analysis & PDE, 9 (2016), 575-595.
doi: 10.2140/apde.2016.9.575. |
[2] |
P. Angulo-Ardoy, D. Faraco and L. Guijarro,
Sufficient Conditions for the Existence of Limiting Carleman Weights arXiv: 1603.04201 |
[3] |
J. Bochnak, M. Coste and M. -F. Roy,
Real Algebraic Geometry Springer, 1998. |
[4] |
D. Dos Santos Ferreira, C. E. Kenig, M. Salo and G. Uhlmann,
Limiting Carleman weights and anisotropic inverse problems, Invent. Math., 178 (2009), 119-171.
doi: 10.1007/s00222-009-0196-4. |
[5] |
M. Hirsch,
Differential Topology Graduate Texts in Mathematics, 33. Springer-Verlag, New York, 1976. |
[6] |
S. Koike and M. Shiota,
Non-smooth points set of fibres of a semialgebraic mapping, J. Math. Soc. Japan, 59 (2007), 953-969.
doi: 10.2969/jmsj/05940953. |
[7] |
T. Liimatainen and M. Salo,
Nowhere conformally homogeneous manifolds and limiting Carleman weights, Inverse Probl. Imaging, 6 (2012), 523-530.
doi: 10.3934/ipi.2012.6.523. |
[8] |
C. T. C. Wall,
Regular stratifications, Proceedings of "Applications of Topology and Dynamical Systems" at Warwick, Lecture Notes in Mathematics, 468 (1975), 332-345.
|
show all references
References:
[1] |
P. Angulo-Ardoy, D. Faraco, L. Guijarro and A. Ruiz,
Obstructions to the existence of limiting Carleman weights, Analysis & PDE, 9 (2016), 575-595.
doi: 10.2140/apde.2016.9.575. |
[2] |
P. Angulo-Ardoy, D. Faraco and L. Guijarro,
Sufficient Conditions for the Existence of Limiting Carleman Weights arXiv: 1603.04201 |
[3] |
J. Bochnak, M. Coste and M. -F. Roy,
Real Algebraic Geometry Springer, 1998. |
[4] |
D. Dos Santos Ferreira, C. E. Kenig, M. Salo and G. Uhlmann,
Limiting Carleman weights and anisotropic inverse problems, Invent. Math., 178 (2009), 119-171.
doi: 10.1007/s00222-009-0196-4. |
[5] |
M. Hirsch,
Differential Topology Graduate Texts in Mathematics, 33. Springer-Verlag, New York, 1976. |
[6] |
S. Koike and M. Shiota,
Non-smooth points set of fibres of a semialgebraic mapping, J. Math. Soc. Japan, 59 (2007), 953-969.
doi: 10.2969/jmsj/05940953. |
[7] |
T. Liimatainen and M. Salo,
Nowhere conformally homogeneous manifolds and limiting Carleman weights, Inverse Probl. Imaging, 6 (2012), 523-530.
doi: 10.3934/ipi.2012.6.523. |
[8] |
C. T. C. Wall,
Regular stratifications, Proceedings of "Applications of Topology and Dynamical Systems" at Warwick, Lecture Notes in Mathematics, 468 (1975), 332-345.
|
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