@article{JEDP_1993____A11_0, author = {Isozaki, Hiroshi}, title = {A generalization of the radiation condition of {Sommerfeld} for $N$-body {Schr\"odinger} operators}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {11}, pages = {1--9}, publisher = {Ecole polytechnique}, year = {1993}, mrnumber = {94f:81172}, language = {en}, url = {http://archive.numdam.org/item/JEDP_1993____A11_0/} }
TY - JOUR AU - Isozaki, Hiroshi TI - A generalization of the radiation condition of Sommerfeld for $N$-body Schrödinger operators JO - Journées équations aux dérivées partielles PY - 1993 SP - 1 EP - 9 PB - Ecole polytechnique UR - http://archive.numdam.org/item/JEDP_1993____A11_0/ LA - en ID - JEDP_1993____A11_0 ER -
%0 Journal Article %A Isozaki, Hiroshi %T A generalization of the radiation condition of Sommerfeld for $N$-body Schrödinger operators %J Journées équations aux dérivées partielles %D 1993 %P 1-9 %I Ecole polytechnique %U http://archive.numdam.org/item/JEDP_1993____A11_0/ %G en %F JEDP_1993____A11_0
Isozaki, Hiroshi. A generalization of the radiation condition of Sommerfeld for $N$-body Schrödinger operators. Journées équations aux dérivées partielles (1993), article no. 11, 9 p. http://archive.numdam.org/item/JEDP_1993____A11_0/
[1] Asymptotic properties of solutions of differential equations with simple characteristics, J. d'Anal. Math., 30 (1976), 1-38. | MR | Zbl
and ,[2] The principle of limit amplitude, Russ. Math. Surveys, 24 (1969), 97-167. | MR | Zbl
,[3] Commutator algebra and resolvent estimates, (preprint), (1993). | Zbl
, and ,[4] On Sommerfeld type conditions for a certain class of partial differential equations, A.M.S. Transl. Ser. 2. 51 (1966), 82-112. | Zbl
,[5] Limiting absorption method and absolute contnuity for the Schrödinger operator, J. Math. Kyoto Univ. 7 (1972), 513-542. | MR | Zbl
and ,[6] Asymptotic properties of generalized eigenfunctions for three body Schrödinger operators, Commun. Math. Phys., 153 (1993), 1-21. | Zbl
,[7] Spectral analysis of N-body Schrödinger operators, Ann. Math. 114 (1981), 519-567. | MR | Zbl
, and ,[8] Über das asymptotische Verhalten der Lösungen von Δu + λu = 0 in unendlichen Gebieten, Jahresber. Deutch. Math. Verein., 53 (1943), 57-65. | MR | Zbl
,[9] A Rellich uniqueness theorem for steady state wave propagation in inhomogeneous anisotropic media, Arch. Rational Mech. Anal. 41 (1971), 18-45. | MR | Zbl
and ,[10] Die Greensche Funktionen der Schwingungsgleichung, Jahresber. Deutch. Math. Verein., 21 (1912), 309-353. | JFM
,[11] Principles of radiation, limit absorption and limit amplitude, Russ. Math. Surveys, 21 (1966), 115-193. | MR | Zbl
,[12] On metaharmonic functions, Trudy Mat. Inst. Akad. Nauk. Gruz. SSSR, 12 (1943), 105-174. | MR | Zbl
,[13] Micro-local resolvent estimates for N-body Schrödinger operators, preprint, Université de Nantes, 1992.
,