-
3
-
-
0039984892
-
Weak solutions of one inverse problem in geometric optics
-
Preprint
-
L.A. Caffarelli and V.I. Oliker, Weak solutions of one inverse problem in geometric optics. Preprint (1994).
-
(1994)
-
-
Caffarelli, L.A.1
Oliker, V.I.2
-
4
-
-
33947180862
-
-
L.A. Caffarelli and S. Kochengin and V.I. Oliker, On the numerical solution of the problem of reflector design with given far-field scattering data. Cont. Math. 226 (1999) 13-32.
-
L.A. Caffarelli and S. Kochengin and V.I. Oliker, On the numerical solution of the problem of reflector design with given far-field scattering data. Cont. Math. 226 (1999) 13-32.
-
-
-
-
6
-
-
0001103156
-
The geometry of optimal transportation
-
W. Gangbo and R.J. McCann, The geometry of optimal transportation. Acta Math. 177 (1996) 113-161.
-
(1996)
Acta Math
, vol.177
, pp. 113-161
-
-
Gangbo, W.1
McCann, R.J.2
-
7
-
-
0344032898
-
Shape recognition via Wasserstein distance
-
W. Gangbo and R. McCann, Shape recognition via Wasserstein distance. Quart. Appl. Math. 58 (2000) 705-737.
-
(2000)
Quart. Appl. Math
, vol.58
, pp. 705-737
-
-
Gangbo, W.1
McCann, R.2
-
8
-
-
11044234672
-
Optical design of single reflector systems and the Monge-Kantorovich mass transfer problem
-
T. Glimm and V.I. Oliker, Optical design of single reflector systems and the Monge-Kantorovich mass transfer problem. J. Math. Sci. 117 (2003) 4096-4108.
-
(2003)
J. Math. Sci
, vol.117
, pp. 4096-4108
-
-
Glimm, T.1
Oliker, V.I.2
-
9
-
-
11044226730
-
Optical design of two-reflector systems, the Monge-Kantorovich mass transfer problem and Fermat's principle
-
T. Glimm and V.I. Oliker, Optical design of two-reflector systems, the Monge-Kantorovich mass transfer problem and Fermat's principle. Indiana Univ. Math. J. 53 (2004) 1255-1278.
-
(2004)
Indiana Univ. Math. J
, vol.53
, pp. 1255-1278
-
-
Glimm, T.1
Oliker, V.I.2
-
10
-
-
0012802489
-
On a Monge-Ampère equation arising in geometric optics
-
Pengfei Guan and Xu-Jia Wang, On a Monge-Ampère equation arising in geometric optics J. Differential Geometry 48 (1998) 205-223.
-
(1998)
J. Differential Geometry
, vol.48
, pp. 205-223
-
-
Guan, P.1
Wang, X.2
-
11
-
-
0000485730
-
Duality theorems for marginal problems
-
H.G. Kellerer, Duality theorems for marginal problems. Z. Wahrsch. Verw. Gebiete 67 (1984) 399-432.
-
(1984)
Z. Wahrsch. Verw. Gebiete
, vol.67
, pp. 399-432
-
-
Kellerer, H.G.1
-
12
-
-
0010263666
-
On two reflector antennas
-
B.E. Kinber, On two reflector antennas. Radio Eng. Electron. Phys. 7 (1962) 973-979.
-
(1962)
Radio Eng. Electron. Phys
, vol.7
, pp. 973-979
-
-
Kinber, B.E.1
-
13
-
-
0021421774
-
On the optimal mapping of distributions
-
M. Knott and C.S. Smith, On the optimal mapping of distributions. J. Optim. Theory Appl. 43 (1984) 39-49.
-
(1984)
J. Optim. Theory Appl
, vol.43
, pp. 39-49
-
-
Knott, M.1
Smith, C.S.2
-
14
-
-
0040577813
-
Differential-geometric methods in design of reflector antennas
-
E. Newman and V.I. Oliker, Differential-geometric methods in design of reflector antennas. Symposia Mathematica 35 (1994) 205-223.
-
(1994)
Symposia Mathematica
, vol.35
, pp. 205-223
-
-
Newman, E.1
Oliker, V.I.2
-
15
-
-
10644238931
-
Computation of reflector surfaces for bivariate beamshaping in the elliptic case
-
A.P. Norris and B.S. Westcott, Computation of reflector surfaces for bivariate beamshaping in the elliptic case. J. Phys. A: Math. Gen 9 (1976) 2159-2169.
-
(1976)
J. Phys. A: Math. Gen
, vol.9
, pp. 2159-2169
-
-
Norris, A.P.1
Westcott, B.S.2
-
16
-
-
33947113259
-
-
V.I. Oliker and P. Waltman, Radially symmetric solutions of a Monge-Ampere equation arising in a reflector mapping problem. Proc. U AB Int. Conf. on Diff. Equations and Math. Physics, edited by 1. Knowles and Y. Saito, Springer. Lect. Notes Math. 1285 (1987) 361-374.
-
V.I. Oliker and P. Waltman, Radially symmetric solutions of a Monge-Ampere equation arising in a reflector mapping problem. Proc. U AB Int. Conf. on Diff. Equations and Math. Physics, edited by 1. Knowles and Y. Saito, Springer. Lect. Notes Math. 1285 (1987) 361-374.
-
-
-
-
18
-
-
0004267646
-
-
Princeton University Press, Princeton
-
R.T. Rockafellar, Convex Analysis. Princeton University Press, Princeton (1970).
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
19
-
-
0030584978
-
On c-optimal random variables
-
L. Rüschendorf, On c-optimal random variables. Appl. Stati. Probab. Lett. 27 (1996) 267-270.
-
(1996)
Appl. Stati. Probab. Lett
, vol.27
, pp. 267-270
-
-
Rüschendorf, L.1
-
20
-
-
0000012825
-
On Hoeffding-Fréchet bounds and cyclic monotone relations
-
C. Smith and M. Knott, On Hoeffding-Fréchet bounds and cyclic monotone relations. J. Multivariate Anal. 40 (1992) 328-334.
-
(1992)
J. Multivariate Anal
, vol.40
, pp. 328-334
-
-
Smith, C.1
Knott, M.2
-
21
-
-
0038552249
-
On design of a reflector antenna
-
X.-J. Wang, On design of a reflector antenna. Inverse Problems 12 (1996) 351-375.
-
(1996)
Inverse Problems
, vol.12
, pp. 351-375
-
-
Wang, X.-J.1
-
22
-
-
3042583367
-
On design of a reflector antenna II
-
X.-J. Wang, On design of a reflector antenna II. Calculus of Variations and PDE's 20 (2004) 329-341.
-
(2004)
Calculus of Variations and PDE's
, vol.20
, pp. 329-341
-
-
Wang, X.-J.1
-
24
-
-
0002015997
-
Open problems in geometry, in Differential Geometry. Part 1: Partial Differential Equations on Manifolds (Los Angeles, 1990)
-
R. Greene and S.T. Yau Eds, Amer. Math. Soc
-
S.T. Yau, Open problems in geometry, in Differential Geometry. Part 1: Partial Differential Equations on Manifolds (Los Angeles, 1990), R. Greene and S.T. Yau Eds., Proc. Sympos. Pure Math., Amer. Math. Soc. 54 (1993) 1-28.
-
(1993)
Proc. Sympos. Pure Math
, vol.54
, pp. 1-28
-
-
Yau, S.T.1
|