@article{AIHPA_1987__46_3_247_0, author = {Hoffmann-Ostenhof, Maria and Hoffmann-Ostenhof, Thomas and Swetina, J\"org}, title = {Asymptotics and continuity properties near infinity of solutions of {Schr\"odinger} equations in exterior domains}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {247--280}, publisher = {Gauthier-Villars}, volume = {46}, number = {3}, year = {1987}, mrnumber = {892365}, zbl = {0641.35017}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1987__46_3_247_0/} }
TY - JOUR AU - Hoffmann-Ostenhof, Maria AU - Hoffmann-Ostenhof, Thomas AU - Swetina, Jörg TI - Asymptotics and continuity properties near infinity of solutions of Schrödinger equations in exterior domains JO - Annales de l'I.H.P. Physique théorique PY - 1987 SP - 247 EP - 280 VL - 46 IS - 3 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1987__46_3_247_0/ LA - en ID - AIHPA_1987__46_3_247_0 ER -
%0 Journal Article %A Hoffmann-Ostenhof, Maria %A Hoffmann-Ostenhof, Thomas %A Swetina, Jörg %T Asymptotics and continuity properties near infinity of solutions of Schrödinger equations in exterior domains %J Annales de l'I.H.P. Physique théorique %D 1987 %P 247-280 %V 46 %N 3 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1987__46_3_247_0/ %G en %F AIHPA_1987__46_3_247_0
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Swetina, Jörg. Asymptotics and continuity properties near infinity of solutions of Schrödinger equations in exterior domains. Annales de l'I.H.P. Physique théorique, Tome 46 (1987) no. 3, pp. 247-280. http://www.numdam.org/item/AIHPA_1987__46_3_247_0/
[1] Local behaviour of solutions of general elliptic equations. Comm. Pure Appl. Math., t. 8, 1955, p. 473-496. | MR | Zbl
,[2] Differentiability of a function and of its composition with functions of one variable. Math. Scand., t. 20, 1967, p. 249-268. | MR | Zbl
,[3] Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations. J. Differ. Equations, t. 60, 1985, p. 420- 433. | MR | Zbl
and ,[4] Eigenfunctions and nodal sets. Comment. Math. Helvetici, t. 51, 1976, p. 43-55. | MR | Zbl
,[5] Bateman manuscript project : higher transcendental functions, vol. II, McGraw Hill, New York, Toronto, London, 1953. | MR | Zbl
, , , ,[6] Patterns of exponential decay for solutions to second order elliptic equations in a sector of R2, to appear in J. d'Analyse Math. | Zbl
and ,[7] Elliptic partial differential equations of second order, Springer Verlag, Berlin, Heidelberg, New York. 1977. | MR | Zbl
and ,[8] Lower bounds in cones for solutions to the Schrödinger equation, J. d'Analyse Math., t. 47, 1986, p. 151-174. | MR | Zbl
,[9] Asymptotics of the nodal lines of solutions of 2-dimensional Schrödinger equations, submitted for publication. | Zbl
,[10] On the asymptotics of nodes of L2-solutions of Schrödinger equations, in preparation.
and ,[11] Brownian motion and a consequence of Harnack's inequality: nodes of quantum wave functions. Proc. Amer. Math. Soc., t. 80, 1980, p. 301-305. | MR | Zbl
, and ,[12] Pointwise bounds on the asymptotics of spherically averaged L2-solutions of one-body Schrödinger equations. Ann. Inst. H. Poincaré, t. 42, 1985, p. 341-361. | Numdam | MR | Zbl
, and ,[13] Continuity and nodal properties near infinity for solutions of 2-dimensional Schrödinger equations. Duke Math. J., t. 53, 1986, p. 271-306. | MR | Zbl
, and ,[14] Complex analysis in Banach spaces, North-Holland Mathematics Studies, t. 120, 1986, chapter 1. | MR | Zbl
,[15] Maximum principles in differential equations, Prentice Hall, Englewood Cliffs, 1967. | MR | Zbl
and ,[16] Singular integrals and differentiability of functions, Princeton University Press, Princeton, NJ, 1970. | MR | Zbl
,[17] Lower bounds for solutions of perturbed Helmholtz equations in exterior regions. J. Math. Anal. Appl., t. 102, 1984, p. 113-122. | MR | Zbl
,