-
1
-
-
79957967429
-
Fast solitons on star graphs
-
R. Adami, C. Cacciapuoti, D. Finco and D. Noja, Fast solitons on star graphs, Rev. Math. Phys., 23 (2011), 409-451.
-
(2011)
Rev. Math. Phys.
, vol.23
, pp. 409-451
-
-
Adami, R.1
Cacciapuoti, C.2
Finco, D.3
Noja, D.4
-
2
-
-
84860477069
-
On the structure of critical energy levels for the cubic focusing NLS on star graphs
-
192001
-
R. Adami, C. Cacciapuoti, D. Finco and D. Noja, On the structure of critical energy levels for the cubic focusing NLS on star graphs, J. Phys. A: Math. Theor., 45 (2012), 7pp. 192001.
-
(2012)
J. Phys. A: Math. Theor.
, vol.45
, pp. 7
-
-
Adami, R.1
Cacciapuoti, C.2
Finco, D.3
Noja, D.4
-
3
-
-
84867733909
-
Stationary states of NLS on star graphs
-
R. Adami, C. Cacciapuoti, D. Finco and D. Noja, Stationary states of NLS on star graphs, EPL, 100 (2012), 10003.
-
(2012)
EPL
, vol.100
, pp. 10003
-
-
Adami, R.1
Cacciapuoti, C.2
Finco, D.3
Noja, D.4
-
4
-
-
79957945199
-
Existence of dynamics for a 1-d NLS equation perturbed with a generalized point defect
-
R. Adami and D. Noja, Existence of dynamics for a 1-d NLS equation perturbed with a generalized point defect, J. Phys. A Math. Theor., 42 (2009), 495302.
-
(2009)
J. Phys. A Math. Theor.
, vol.42
, pp. 495302
-
-
Adami, R.1
Noja, D.2
-
5
-
-
84873719853
-
Stability and symmetry breaking bifurcation for the ground states of a NLS equation with a δ' interaction
-
R. Adami and D. Noja, Stability and symmetry breaking bifurcation for the ground states of a NLS equation with a δ' interaction, Commun. Math. Phys., 318 (2013), 247-289.
-
(2013)
Commun. Math. Phys.
, vol.318
, pp. 247-289
-
-
Adami, R.1
Noja, D.2
-
6
-
-
84876915226
-
On the mathematical description of the effective behaviour of one-dimensional Bose-Einstein condensates with defects
-
Nova Publishing, New York
-
R. Adami, D. Noja and A. Sacchetti, On the mathematical description of the effective behaviour of one-dimensional Bose-Einstein condensates with defects, in "Bose-Einstein Condensates: Theory, Characteristics, and Current Research ", Nova Publishing, New York (2010).
-
(2010)
Bose-Einstein Condensates: Theory, Characteristics, and Current Research
-
-
Adami, R.1
Noja, D.2
Sacchetti, A.3
-
8
-
-
0000128397
-
Fundamental solutions of the Heat and Schrödinger Equations with point interaction
-
S. Albeverio, Z. Brzeźniak and L. Dabrowski, Fundamental solutions of the Heat and Schrödinger Equations with point interaction, J. Func. An., 130 (1995), 220-254.
-
(1995)
J. Func. An.
, vol.130
, pp. 220-254
-
-
Albeverio, S.1
Brzeźniak, Z.2
Dabrowski, L.3
-
9
-
-
29744458686
-
-
AMS, Providence
-
S. Albeverio, F. Gesztesy, R. Høgh-Krohn and H. Holden, "Solvable Models in Quantum Mechanics, 2nd ed., with an Appendix of P. Exner, " AMS, Providence, 2005.
-
(2005)
Solvable Models in Quantum Mechanics, 2nd Ed., with An Appendix of P. Exner
-
-
Albeverio, S.1
Gesztesy, F.2
Høgh-Krohn, R.3
Holden, H.4
-
11
-
-
77957288279
-
On the orbital stability for a class of nonautonmous NLS
-
J. Bellazzini and N. Visciglia, On the orbital stability for a class of nonautonmous NLS, Indiana Univ. Math. J., 59 (2010), 1211-1230.
-
(2010)
Indiana Univ. Math. J.
, vol.59
, pp. 1211-1230
-
-
Bellazzini, J.1
Visciglia, N.2
-
12
-
-
0020591567
-
Nonlinear scalar field equations, I. Existence of a ground state
-
H. Berestycki and P.-L. Lions, Nonlinear scalar field equations, I - Existence of a ground state, Arch. Rat. Mech. Anal., 82 (1983), 313-345. (Pubitemid 13555203)
-
(1983)
Archive for Rational Mechanics and Analysis
, vol.82
, Issue.4
, pp. 313-345
-
-
Berestycki, H.1
Lions, P.-L.2
-
15
-
-
84941275804
-
A relation between pointwise convergence of functions and convergence of functionals
-
H. Brezis and E. H. Lieb, A relation between pointwise convergence of functions and convergence of functionals, Proc. Amer. Math. Soc., 88 (1983), 486-490.
-
(1983)
Proc. Amer. Math. Soc.
, vol.88
, pp. 486-490
-
-
Brezis, H.1
Lieb, E.H.2
-
16
-
-
0007603725
-
Soliton defect collisions in the nonlinear Schrödinger equation
-
D. Cao Xiang and A. B. Malomed, Soliton defect collisions in the nonlinear Schrödinger equation, Phys. Lett. A, 206 (1985), 177-182.
-
(1985)
Phys. Lett. A
, vol.206
, pp. 177-182
-
-
Cao Xiang, D.1
Malomed, A.B.2
-
17
-
-
10844227674
-
-
Courant Lecture Notes in Mathematics, AMS, Providence
-
T. Cazenave, "Semilinear Schrödinger Equations, " 10 Courant Lecture Notes in Mathematics, AMS, Providence, 2003.
-
(2003)
Semilinear Schrödinger Equations
, vol.10
-
-
Cazenave, T.1
-
18
-
-
0000090159
-
Orbital stability of standing waves for some nonlinear Schrödinger equations
-
T. Cazenave and P.-L. Lions, Orbital stability of standing waves for some nonlinear Schrödinger equations, Comm. Math. Phys., 85 (1982), 549-561.
-
(1982)
Comm. Math. Phys.
, vol.85
, pp. 549-561
-
-
Cazenave, T.1
Lions, P.-L.2
-
19
-
-
0041352505
-
Realizing discontinuous wave functions with renormalized short-range potentials
-
PII S0375960198001881
-
T. Cheon and T. Shigehara, Realizing discontinuous wave functions with renormalized shortrange potentials, Phys. Lett. A, 243 (1998), 111-116. (Pubitemid 128393214)
-
(1998)
Physics Letters, Section A: General, Atomic and Solid State Physics
, vol.243
, Issue.3
, pp. 111-116
-
-
Cheon, T.1
Shigehara, T.2
-
20
-
-
70449509363
-
Fast soliton scattering by attractive delta impurities
-
K. Datchev and J. Holmer, Fast soliton scattering by attractive delta impurities, Comm. Part. Diff. Eq., 34 (2009), 1074-1113.
-
(2009)
Comm. Part. Diff. Eq.
, vol.34
, pp. 1074-1113
-
-
Datchev, K.1
Holmer, J.2
-
21
-
-
83255164921
-
Long-Time Asymptotics for solutions of the NLS equation with a delta potential and even initial data
-
P. Deift and J. Park, Long-Time Asymptotics for solutions of the NLS equation with a delta potential and even initial data, Int. Math. Res. Notices, 24 (2011), 5505-5624.
-
(2011)
Int. Math. Res. Notices
, vol.24
, pp. 5505-5624
-
-
Deift, P.1
Park, J.2
-
23
-
-
0035541766
-
Potential approximations to δ': An inverse Klauder phenomenon with norm-resolvent convergence
-
DOI 10.1007/s002200100567
-
P. Exner, H. Neidhardt and V. A. Zagrebnov, Potential approximations to a δ': An inverse Klauder phenomenon with norm-resolvent convergence, Comm. Math. Phys., 224 (2001), 593-612. (Pubitemid 33383035)
-
(2001)
Communications in Mathematical Physics
, vol.224
, Issue.3
, pp. 593-612
-
-
Exner, P.1
Neidhardt, H.2
Zagrebnov, V.A.3
-
24
-
-
44449145089
-
Stability of standing waves for a nonlinear Schrödinger equation with a repulsive Dirac delta potential
-
R. Fukuizumi and L. Jeanjean, Stability of standing waves for a nonlinear Schrödinger equation with a repulsive Dirac delta potential, Disc. Cont. Dyn. Syst. (A), 21 (2008), 129-144.
-
(2008)
Disc. Cont. Dyn. Syst. (A)
, vol.21
, pp. 129-144
-
-
Fukuizumi, R.1
Jeanjean, L.2
-
25
-
-
52149096486
-
Nonlinear Schrödinger equation with a point defect
-
R. Fukuizumi, M. Ohta and T. Ozawa, Nonlinear Schrödinger equation with a point defect, Ann. Inst. H. Poincaré, Anal. Non Linéaire, 25 (2008), 837-845.
-
(2008)
Ann. Inst. H. Poincaré, Anal. Non Linéaire
, vol.25
, pp. 837-845
-
-
Fukuizumi, R.1
Ohta, M.2
Ozawa, T.3
-
26
-
-
78649605357
-
Role of a phase factor in the boundary condition of a one-dimensional junction
-
Y. Furuhashi, M. Hirokawa, K. Nakahara and Y. Shikano, Role of a phase factor in the boundary condition of a one-dimensional junction, J. Phys. A Math. Theor., 43 (2010), 354010.
-
(2010)
J. Phys. A Math. Theor.
, vol.43
, pp. 354010
-
-
Furuhashi, Y.1
Hirokawa, M.2
Nakahara, K.3
Shikano, Y.4
-
27
-
-
78751551693
-
On norm resolvent convergence of Schrödinger operators with δ'-like potentials
-
Yu. D. Golovaty and R. O. Hryniv, On norm resolvent convergence of Schrödinger operators with δ'-like potentials, J. Phys. A. Math. Theor., 44 (2011), 049802
-
(2011)
J. Phys. A. Math. Theor.
, vol.44
, pp. 049802
-
-
Golovaty, Y.D.1
Hryniv, R.O.2
-
29
-
-
2342576894
-
Strong NLS soliton-defect interactions
-
R. H. Goodman, P. J. Holmes and M. I. Weinstein, Strong NLS soliton-defect interactions, Physica D., 192 (2004), 215-248.
-
(2004)
Physica D.
, vol.192
, pp. 215-248
-
-
Goodman, R.H.1
Holmes, P.J.2
Weinstein, M.I.3
-
30
-
-
0000468151
-
Stability theory of solitary waves in the presence of symmetry - I
-
M. Grillakis, J. Shatah and W. Strauss, Stability theory of solitary waves in the presence of symmetry - I, J. Func. An., 74 (1987), 160-197.
-
(1987)
J. Func. An.
, vol.74
, pp. 160-197
-
-
Grillakis, M.1
Shatah, J.2
Strauss, W.3
-
31
-
-
29444432472
-
Stability theory of solitary waves in the presence of symmetry - II
-
M. Grillakis, J. Shatah and W. Strauss, Stability theory of solitary waves in the presence of symmetry - II, J. Func. An., 94 (1990), 308-348.
-
(1990)
J. Func. An.
, vol.94
, pp. 308-348
-
-
Grillakis, M.1
Shatah, J.2
Strauss, W.3
-
32
-
-
34547337563
-
Fast soliton scattering by delta impurities
-
J. Holmer, J. Marzuola and M. Zworski, Fast soliton scattering by delta impurities, Comm. Math. Phys., 274 (2007), 187-216.
-
(2007)
Comm. Math. Phys.
, vol.274
, pp. 187-216
-
-
Holmer, J.1
Marzuola, J.2
Zworski, M.3
-
33
-
-
67650735584
-
Breathing patterns in nonlinear relaxation
-
J. Holmer and M. Zworski, Breathing patterns in nonlinear relaxation, Nonlinearity, 22 (2009), 1259-1301.
-
(2009)
Nonlinearity
, vol.22
, pp. 1259-1301
-
-
Holmer, J.1
Zworski, M.2
-
34
-
-
43049140512
-
Instability of bound states of a nonlinear Schrödinger equation with a Dirac potential
-
S. Le Coz, R. Fukuizumi, G. Fibich, Y. Ksherim and Y. Sivan, Instability of bound states of a nonlinear Schrödinger equation with a Dirac potential, Physica D, 237 (2008), 1103-1128.
-
(2008)
Physica D
, vol.237
, pp. 1103-1128
-
-
Le Coz, S.1
Fukuizumi, R.2
Fibich, G.3
Ksherim, Y.4
Sivan, Y.5
-
35
-
-
34848822519
-
Nonlinear scattering and trapping by local photonic potentials
-
Y. Linzon, R. Morandotti, V. Aimez, V. Ares and S. Bar-Ad, Nonlinear scattering and trapping by local photonic potentials, Phys. Rev. Lett., 99 (2007), 133901.
-
(2007)
Phys. Rev. Lett.
, vol.99
, pp. 133901
-
-
Linzon, Y.1
Morandotti, R.2
Aimez, V.3
Ares, V.4
Bar-Ad, S.5
-
36
-
-
36248934342
-
On a minimization problem involving the critical Sobolev exponent
-
F. Prinari and N. Visciglia, On a minimization problem involving the critical Sobolev exponent, Advanced Nonlinear Studies, 7 (2007), 551-564.
-
(2007)
Advanced Nonlinear Studies
, vol.7
, pp. 551-564
-
-
Prinari, F.1
Visciglia, N.2
-
38
-
-
0000686130
-
Modulational stability of ground states of nonlinear Schroedinger equations
-
M. Weinstein, Modulational stability of ground states of nonlinear Schroedinger equations, SIAM J. Math. Anal., 16 (1985), 472-491.
-
(1985)
SIAM J. Math. Anal.
, vol.16
, pp. 472-491
-
-
Weinstein, M.1
-
39
-
-
84990553584
-
Lyapunov stability of ground states of nonlinear dispersive evolution equations
-
M. Weinstein, Lyapunov stability of ground states of nonlinear dispersive evolution equations, Comm. Pure Appl. Math., 39 (1986), 51-68.
-
(1986)
Comm. Pure Appl. Math.
, vol.39
, pp. 51-68
-
-
Weinstein, M.1
-
40
-
-
14544268141
-
Bound and resonance states of the nonlinear Schrödinger equation in simple model systems
-
D. Witthaut, S. Mossmann and H. J. Korsch, Bound and resonance states of the nonlinear Schrödinger equation in simple model systems, J. Phys. A Math. Gen., 38 (2005), 1777-1702.
-
(2005)
J. Phys. A Math. Gen.
, vol.38
, pp. 1777-1702
-
-
Witthaut, D.1
Mossmann, S.2
Korsch, H.J.3
-
41
-
-
33745813581
-
Scattering properties of point dipole interactions
-
DOI 10.1088/0305-4470/39/29/023, PII S0305447006188022, 023
-
A. V. Zolotaryuk, P. L. Christiansen and S. V. Iermakova, Scattering properties of point dipole interactions, J. Phys. A Math. Gen., 39 (2006), 9329-9338. (Pubitemid 44026364)
-
(2006)
Journal of Physics A: Mathematical and General
, vol.39
, Issue.29
, pp. 9329-9338
-
-
Zolotaryuk, A.V.1
Christiansen, P.L.2
Iermakova, S.V.3
-
42
-
-
77949298617
-
Boundary conditions for the states with resonant tunnelling across the δ'-potential
-
V. A. Zolotaryuk, Boundary conditions for the states with resonant tunnelling across the δ'-potential, Phys. Lett. A, 374 (2010), 1636-1641.
-
(2010)
Phys. Lett. A
, vol.374
, pp. 1636-1641
-
-
Zolotaryuk, V.A.1
|