Inverse problem for a nonlinear Helmholtz equation
Annales de l'I.H.P. Analyse non linéaire, Volume 21 (2004) no. 4, p. 517-531
@article{AIHPC_2004__21_4_517_0,
     author = {Jalade, Emmanuel},
     title = {Inverse problem for a nonlinear Helmholtz equation},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     publisher = {Elsevier},
     volume = {21},
     number = {4},
     year = {2004},
     pages = {517-531},
     doi = {10.1016/j.anihpc.2003.07.001},
     zbl = {1062.35173},
     mrnumber = {2069636},
     language = {en},
     url = {http://www.numdam.org/item/AIHPC_2004__21_4_517_0}
}
Jalade, Emmanuel. Inverse problem for a nonlinear Helmholtz equation. Annales de l'I.H.P. Analyse non linéaire, Volume 21 (2004) no. 4, pp. 517-531. doi : 10.1016/j.anihpc.2003.07.001. http://www.numdam.org/item/AIHPC_2004__21_4_517_0/

[1] Colton D, Kreiss R, Inverse Acoustic and Electromagnetic Scattering Theory, Springer, 1998. | MR 1635980 | Zbl 0760.35053

[2] Hörmander L, The Analysis of Linear Partial Differential Operators II, Springer-Verlag, 1983. | MR 705278 | Zbl 0687.35002

[3] Isakov V, Nachmann A, Global uniqueness for a 2-dimensional semilinear elliptic problem, Trans. Amer. Math. Soc. 347 (1995) 3375-3390. | MR 1311909 | Zbl 0849.35148

[4] Isakov V, Sylvester J, Global uniqueness for a semilinear elliptic inverse problem, CPAM 47 (1994) 1403-1410. | MR 1295934 | Zbl 0817.35126

[5] Nachmann A, Reconstruction from boundary measurement, Ann. Math. 128 (1988) 531-577. | Zbl 0675.35084

[6] Strauss W.A, Nonlinear scattering theory, in: La Vita J.A, Marchand J.-P (Eds.), Scattering Theory in Mathematical Physics, Reidel, Dordrecht, 1974.

[7] Weder R, Inverse scattering for the nonlinear Schrödinger equation II. Reconstruction of the potential and the nonlinearity in the multidimensional case, Proc. Amer. Math. Soc. 129 (12) (2002) 3637-3645. | MR 1860498 | Zbl 0986.35125