Example of resonance scattering for the one-dimensional wave equation
Sbornik. Mathematics, Tome 190 (1999) no. 6, pp. 783-790 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

An example is presented of the one-dimensional wave equation such that the corresponding scattering problem is equivalent to quantum-mechanical scattering with trapping potential.
@article{SM_1999_190_6_a0,
     author = {A. A. Arsen'ev},
     title = {Example of resonance scattering for the~one-dimensional wave equation},
     journal = {Sbornik. Mathematics},
     pages = {783--790},
     year = {1999},
     volume = {190},
     number = {6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1999_190_6_a0/}
}
TY  - JOUR
AU  - A. A. Arsen'ev
TI  - Example of resonance scattering for the one-dimensional wave equation
JO  - Sbornik. Mathematics
PY  - 1999
SP  - 783
EP  - 790
VL  - 190
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/SM_1999_190_6_a0/
LA  - en
ID  - SM_1999_190_6_a0
ER  - 
%0 Journal Article
%A A. A. Arsen'ev
%T Example of resonance scattering for the one-dimensional wave equation
%J Sbornik. Mathematics
%D 1999
%P 783-790
%V 190
%N 6
%U http://geodesic.mathdoc.fr/item/SM_1999_190_6_a0/
%G en
%F SM_1999_190_6_a0
A. A. Arsen'ev. Example of resonance scattering for the one-dimensional wave equation. Sbornik. Mathematics, Tome 190 (1999) no. 6, pp. 783-790. http://geodesic.mathdoc.fr/item/SM_1999_190_6_a0/

[1] Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki. T. 3. Teoriya rasseyaniya, Mir, M., 1982 | MR

[2] Yafaev D. R., Matematicheskaya teoriya rasseyaniya, Izd-vo SPbGU, SPb., 1994 | MR

[3] Danford N., Shvarts Dzh. T., Lineinye operatory, T. 2, Mir, M., 1996

[4] Dodd R., Eibek Dzh., Gibbon Dzh., Moris Kh., Solitony i nelineinye volnovye uravneniya, Mir, M., 1988 | MR

[5] Kalodzhero F., Degasperis A., Spektralnye preobrazovaniya i solitony, Mir, M., 1985 | MR

[6] Arsenev A. A., “Rezonansnye svoistva matritsy rasseyaniya dlya odnomernogo operatora Shredingera s lovushechnym potentsialom”, Matem. sb., 187:6 (1996), 3–20 | MR | Zbl

[7] Arsenev A. A., “Otsenka resheniya zadachi rasseyaniya na odnomernom lovushechnom potentsiale”, Matem. sb., 188:12 (1977), 3–10 | MR

[8] Albeverio Sergio, Kusuaka Shigeo, Streit Ludwig, “Convergence of Dirichlet forms and associated Schrödinger operators”, J. Fund. Anal., 68:2 (1986), 130–142 | DOI | MR

[9] Vatanabe S., Ikeda N., Stokhasticheskie differentsialnye uravneniya i diffuzionnye protsessy, Nauka, M., 1986 | MR