-
1
-
-
49349126857
-
Construction of instantons
-
M. Atiyah, V. G. Drinfield, N. Hitchin, and Y. I. Manin, Construction of instantons, Phys. Lett. A, 65 (1978), 185-187.
-
(1978)
Phys. Lett. A
, vol.65
, pp. 185-187
-
-
Atiyah, M.1
Drinfield, V.G.2
Hitchin, N.3
Manin, Y.I.4
-
2
-
-
0000422610
-
Metastable states of two-dimensional isotropic ferromagnets
-
(Russian)
-
A. A. Belavin and A. M. Polyakov, Metastable states of two-dimensional isotropic ferromagnets, JETP Lett., 22 (1975), 245-247 (Russian).
-
(1975)
JETP Lett.
, vol.22
, pp. 245-247
-
-
Belavin, A.A.1
Polyakov, A.M.2
-
3
-
-
33744541238
-
Pseudoparticle solutions of the Yang-Mills equation
-
A. A. Belavin, A. M. Polyakov, A. S. Schwarz, and Y. S. Tyupkin, Pseudoparticle solutions of the Yang-Mills equation, Phys. Lett. B, 59 (1975), 85.
-
(1975)
Phys. Lett. B
, vol.59
, pp. 85
-
-
Belavin, A.A.1
Polyakov, A.M.2
Schwarz, A.S.3
Tyupkin, Y.S.4
-
4
-
-
0007502239
-
Formation of singularities for equivariant (2+1)-dimensional wave maps into the 2-sphere
-
P. Bizon, T. Chmaj, and Z. Tabor, Formation of singularities for equivariant (2+1)-dimensional wave maps into the 2-sphere, Nonlinearity, 14 (2001), 1041-1053.
-
(2001)
Nonlinearity
, vol.14
, pp. 1041-1053
-
-
Bizon, P.1
Chmaj, T.2
Tabor, Z.3
-
5
-
-
3142780560
-
Collapse of an instanton
-
P. Bizon, Y. N. Ovchinnikov, and I. M. Sigal, Collapse of an instanton, Nonlinearity, 17 (2004), 1179-1191.
-
(2004)
Nonlinearity
, vol.17
, pp. 1179-1191
-
-
Bizon, P.1
Ovchinnikov, Y.N.2
Sigal, I.M.3
-
6
-
-
0000640079
-
The stability of classical solutions
-
(Russian)
-
E. B. Bogomol'nyi, The stability of classical solutions, Sov. J. Nucl. Phys., 24 (1976), 449-454 (Russian).
-
(1976)
Sov. J. Nucl. Phys.
, vol.24
, pp. 449-454
-
-
Bogomol'nyi, E.B.1
-
7
-
-
0001425259
-
Harmonic maps of the hyperbolic space and development of singularities in wave maps and Yang-Mills fields
-
T. Cazenave, J. Shatah, and S. Tahvildar-Zadeh, Harmonic maps of the hyperbolic space and development of singularities in wave maps and Yang-Mills fields, Ann. Inst. Henri Poincaré, A, 68 (1998), 315-349.
-
(1998)
Ann. Inst. Henri Poincaré, A
, vol.68
, pp. 315-349
-
-
Cazenave, T.1
Shatah, J.2
Tahvildar-Zadeh, S.3
-
9
-
-
33344454643
-
Instability of nonconstant harmonic maps for the (1+2)-dimensional equivariant wave map system
-
R. Côte, Instability of nonconstant harmonic maps for the (1+2)-dimensional equivariant wave map system, Int. Math. Res. Not., 2005 (2005), 3525-3549.
-
(2005)
Int. Math. Res. Not.
, vol.2005
, pp. 3525-3549
-
-
Côte, R.1
-
10
-
-
53349165941
-
Scattering below critical energy for the radial 4D Yang-Mills equation and for the 2D corotational wave map system
-
R. Côte, C. E. Kenig, and F. Merle, Scattering below critical energy for the radial 4D Yang-Mills equation and for the 2D corotational wave map system, Commun. Math. Phys., 284 (2008), 203-225.
-
(2008)
Commun. Math. Phys.
, vol.284
, pp. 203-225
-
-
Côte, R.1
Kenig, C.E.2
Merle, F.3
-
13
-
-
0010675712
-
Régularité des applications faiblement harmoniques entre une surface et une sphére
-
F. Hélein, Régularité des applications faiblement harmoniques entre une surface et une sphére, C. R. Acad. Sci. Paris Sér. I Math., 311 (1990), 519-524.
-
(1990)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.311
, pp. 519-524
-
-
Hélein, F.1
-
14
-
-
0035981972
-
Singularity formation in 2+1 wave maps
-
J. Isenberg and S. L. Liebling, Singularity formation in 2+1 wave maps, J. Math. Phys., 43 (2002), 678-683.
-
(2002)
J. Math. Phys.
, vol.43
, pp. 678-683
-
-
Isenberg, J.1
Liebling, S.L.2
-
15
-
-
0000250408
-
Finite energy self-similar solutions of a nonlinear wave equation
-
O. Kavian and F. B. Weissler, Finite energy self-similar solutions of a nonlinear wave equation, Commun. Partial Differ. Equ., 15 (1990), 1381-1420.
-
(1990)
Commun. Partial Differ. Equ.
, vol.15
, pp. 1381-1420
-
-
Kavian, O.1
Weissler, F.B.2
-
16
-
-
57049094376
-
Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
-
C. E. Kenig and F. Merle, Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation, Acta Math., 201 (2008), 147-212.
-
(2008)
Acta Math.
, vol.201
, pp. 147-212
-
-
Kenig, C.E.1
Merle, F.2
-
17
-
-
0000383338
-
On the regularity properties of a model problem related to wave maps
-
S. Klainerman and M. Machedon, On the regularity properties of a model problem related to wave maps, Duke Math. J., 87 (1997), 553-589.
-
(1997)
Duke Math. J.
, vol.87
, pp. 553-589
-
-
Klainerman, S.1
Machedon, M.2
-
18
-
-
0001185364
-
Remark on the optimal regularity for equations of wave maps type
-
S. Klainerman and Z. Selberg, Remark on the optimal regularity for equations of wave maps type, Commun. Partial Differ. Equ., 22 (1997), 901-918.
-
(1997)
Commun. Partial Differ. Equ.
, vol.22
, pp. 901-918
-
-
Klainerman, S.1
Selberg, Z.2
-
20
-
-
38349190717
-
Renormalization and blow up for charge one equivariant critical wave maps
-
J. Krieger, W. Schlag, and D. Tataru, Renormalization and blow up for charge one equivariant critical wave maps, Invent. Math., 171 (2008), 543-615.
-
(2008)
Invent. Math.
, vol.171
, pp. 543-615
-
-
Krieger, J.1
Schlag, W.2
Tataru, D.3
-
21
-
-
67349201747
-
Renormalization and blow up for the critical Yang-Mills problem
-
J. Krieger, W. Schlag, and D. Tataru, Renormalization and blow up for the critical Yang-Mills problem, Adv. Math., 221 (2009), 1445-1521.
-
(2009)
Adv. Math.
, vol.221
, pp. 1445-1521
-
-
Krieger, J.1
Schlag, W.2
Tataru, D.3
-
22
-
-
62649174841
-
Stable self similar blow up solutions to the relativistic gravitational Vlasov-Poisson system
-
M. Lemou, F. Mehats, and P. Raphaël, Stable self similar blow up solutions to the relativistic gravitational Vlasov-Poisson system, J. Am. Math. Soc., 21 (2008), 1019-1063.
-
(2008)
J. Am. Math. Soc.
, vol.21
, pp. 1019-1063
-
-
Lemou, M.1
Mehats, F.2
Raphaël, P.3
-
24
-
-
0036016142
-
Blow up in finite time and dynamics of blow up solutions for the L2-critical generalized KdV equation
-
Y. Martel and F. Merle, Blow up in finite time and dynamics of blow up solutions for the L2-critical generalized KdV equation, J. Am. Math. Soc., 15 (2002), 617-664.
-
(2002)
J. Am. Math. Soc.
, vol.15
, pp. 617-664
-
-
Martel, Y.1
Merle, F.2
-
25
-
-
0041350485
-
Sharp upper bound on the blow up rate for critical nonlinear Schrödinger equation
-
F. Merle and P. Raphaël, Sharp upper bound on the blow up rate for critical nonlinear Schrödinger equation, Geom. Funct. Anal., 13 (2003), 591-642.
-
(2003)
Geom. Funct. Anal.
, vol.13
, pp. 591-642
-
-
Merle, F.1
Raphaël, P.2
-
26
-
-
2942586742
-
2 critical nonlinear Schrödinger equation
-
2 critical nonlinear Schrödinger equation, Invent. Math., 156 (2004), 565-672.
-
(2004)
Invent. Math.
, vol.156
, pp. 565-672
-
-
Merle, F.1
Raphaël, P.2
-
27
-
-
20444437961
-
Blow up dynamic and upper bound on the blow up rate for critical nonlinear Schrödinger equation
-
F. Merle and P. Raphaël, Blow up dynamic and upper bound on the blow up rate for critical nonlinear Schrödinger equation, Ann. Math., 161 (2005), 157-222.
-
(2005)
Ann. Math.
, vol.161
, pp. 157-222
-
-
Merle, F.1
Raphaël, P.2
-
28
-
-
12444281836
-
Profiles and quantization of the blow up mass for critical nonlinear Schrödinger equation
-
F. Merle and P. Raphaël, Profiles and quantization of the blow up mass for critical nonlinear Schrödinger equation, Commun. Math. Phys., 253 (2005), 675-704.
-
(2005)
Commun. Math. Phys.
, vol.253
, pp. 675-704
-
-
Merle, F.1
Raphaël, P.2
-
29
-
-
30644464564
-
Sharp lower bound on the blow up rate for critical nonlinear Schrödinger equation
-
F. Merle and P. Raphaël, Sharp lower bound on the blow up rate for critical nonlinear Schrödinger equation, J. Am. Math. Soc., 19 (2006), 37-90.
-
(2006)
J. Am. Math. Soc.
, vol.19
, pp. 37-90
-
-
Merle, F.1
Raphaël, P.2
-
30
-
-
0000235872
-
The problem of Plateau on a Riemannian manifold
-
C. B. Morrey Jr., The problem of Plateau on a Riemannian manifold, Ann. Math., 49 (1948), 807-851.
-
(1948)
Ann. Math.
, vol.49
, pp. 807-851
-
-
Morrey Jr., C.B.1
-
31
-
-
0035537074
-
On the formation of singularities in solutions of the critical nonlinear Schrödinger equation
-
G. Perelman, On the formation of singularities in solutions of the critical nonlinear Schrödinger equation, Ann. Henri Poincaré, 2 (2001), 605-673.
-
(2001)
Ann. Henri Poincaré
, vol.2
, pp. 605-673
-
-
Perelman, G.1
-
33
-
-
13844296411
-
Stability of the log-log bound for blow up solutions to the critical non linear Schrödinger equation
-
P. Raphaël, Stability of the log-log bound for blow up solutions to the critical non linear Schrödinger equation, Math. Ann., 331 (2005), 577-609.
-
(2005)
Math. Ann.
, vol.331
, pp. 577-609
-
-
Raphaël, P.1
-
34
-
-
84877882763
-
On the formation of singularities in the critical O(3) σ-model
-
to appear
-
I. Rodnianski and J. Sterbenz, On the formation of singularities in the critical O(3) σ-model, Ann. Math., to appear.
-
Ann. Math.
-
-
Rodnianski, I.1
Sterbenz, J.2
-
35
-
-
84990623256
-
Weak solutions and development of singularities of the SU(2) σ-model
-
J. Shatah, Weak solutions and development of singularities of the SU(2) σ-model, Commun. Pure Appl. Math., 41 (1988), 459-469.
-
(1988)
Commun. Pure Appl. Math.
, vol.41
, pp. 459-469
-
-
Shatah, J.1
-
40
-
-
2442506870
-
Equivariant wave maps in two space dimensions. Dedicated to the memory of Jürgen K. Moser
-
M. Struwe, Equivariant wave maps in two space dimensions. Dedicated to the memory of Jürgen K. Moser, Commun. Pure Appl. Math., 56 (2003), 815-823.
-
(2003)
Commun. Pure Appl. Math.
, vol.56
, pp. 815-823
-
-
Struwe, M.1
-
41
-
-
0035541508
-
Global regularity of wave maps. II. Small energy in two dimensions
-
T. Tao, Global regularity of wave maps. II. Small energy in two dimensions, Commun. Math. Phys., 224 (2001), 443-544.
-
(2001)
Commun. Math. Phys.
, vol.224
, pp. 443-544
-
-
Tao, T.1
-
44
-
-
0010259459
-
On global existence and scattering for the wave maps equation
-
D. Tataru, On global existence and scattering for the wave maps equation, Am. J. Math., 123 (2001), 37-77.
-
(2001)
Am. J. Math.
, vol.123
, pp. 37-77
-
-
Tataru, D.1
-
45
-
-
0001830025
-
Removable singularities in Yang-Mills fields
-
K. Uhlenbeck, Removable singularities in Yang-Mills fields, Commun. Math. Phys., 83 (1982), 11-29.
-
(1982)
Commun. Math. Phys.
, vol.83
, pp. 11-29
-
-
Uhlenbeck, K.1
-
46
-
-
0001762482
-
Slowly moving lumps in the CP1 model in (2+1) dimensions
-
R. Ward, Slowly moving lumps in the CP1 model in (2+1) dimensions, Phys. Lett. B, 158 (1985), 424-428.
-
(1985)
Phys. Lett. B
, vol.158
, pp. 424-428
-
-
Ward, R.1
-
47
-
-
3843117609
-
Some exact multipseudoparticle solutions of the classical Yang-Mills theory
-
E. Witten, Some exact multipseudoparticle solutions of the classical Yang-Mills theory, Phys. Rev. Lett., 38 (1977), 121-124.
-
(1977)
Phys. Rev. Lett.
, vol.38
, pp. 121-124
-
-
Witten, E.1
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