-
1
-
-
0347711924
-
Optimal bounds on positive blow-up solutions for a semilinear wave equation
-
C. Antonini F. Merle 2001 Optimal bounds on positive blow-up solutions for a semilinear wave equation Int. Math. Res. Notices 2001 1141 1167
-
(2001)
Int. Math. Res. Notices
, vol.2001
, pp. 1141-1167
-
-
Antonini, C.1
Merle, F.2
-
2
-
-
0000276285
-
A unique continuation theorem for exterior differential forms on Riemannian manifolds
-
N. Aronszajn A. Krzywicki J. Szarski 1962 A unique continuation theorem for exterior differential forms on Riemannian manifolds Ark. Mat. 4 417 453
-
(1962)
Ark. Mat.
, vol.4
, pp. 417-453
-
-
Aronszajn, N.1
Krzywicki, A.2
Szarski, J.3
-
3
-
-
0001596880
-
Équations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
-
T. Aubin 1976 Équations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire J. Math. Pures Appl. 55 269 296
-
(1976)
J. Math. Pures Appl.
, vol.55
, pp. 269-296
-
-
Aubin, T.1
-
4
-
-
0033074557
-
High frequency approximation of solutions to critical nonlinear wave equations
-
H. Bahouri P. Gérard 1999 High frequency approximation of solutions to critical nonlinear wave equations Amer. J. Math. 121 131 175
-
(1999)
Amer. J. Math.
, vol.121
, pp. 131-175
-
-
Bahouri, H.1
Gérard, P.2
-
6
-
-
0001881546
-
Convergence of solutions of H-systems or how to blow bubbles
-
H. Brezis J.-M. Coron 1985 Convergence of solutions of H-systems or how to blow bubbles Arch. Rational Mech. Anal. 89 21 56
-
(1985)
Arch. Rational Mech. Anal.
, vol.89
, pp. 21-56
-
-
Brezis, H.1
Coron, J.-M.2
-
8
-
-
0002645561
-
Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
-
F. M. Christ M. I. Weinstein 1991 Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation J. Funct. Anal. 100 87 109
-
(1991)
J. Funct. Anal.
, vol.100
, pp. 87-109
-
-
Christ, F.M.1
Weinstein, M.I.2
-
9
-
-
84996132207
-
Description du défaut de compacité de l'injection de Sobolev
-
P. Gérard 1998 Description du défaut de compacité de l'injection de Sobolev ESAIM Control Optim. Calc. Var. 3 213 233
-
(1998)
ESAIM Control Optim. Calc. Var.
, vol.3
, pp. 213-233
-
-
Gérard, P.1
-
10
-
-
84990575181
-
Nondegeneracy of blowup for semilinear heat equations
-
Y. Giga R. V. Kohn 1989 Nondegeneracy of blowup for semilinear heat equations Comm. Pure Appl. Math. 42 845 884
-
(1989)
Comm. Pure Appl. Math.
, vol.42
, pp. 845-884
-
-
Giga, Y.1
Kohn, R.V.2
-
11
-
-
0003000536
-
The global Cauchy problem for the critical nonlinear wave equation
-
J. Ginibre A. Soffer G. Velo 1992 The global Cauchy problem for the critical nonlinear wave equation J. Funct. Anal. 110 96 130
-
(1992)
J. Funct. Anal.
, vol.110
, pp. 96-130
-
-
Ginibre, J.1
Soffer, A.2
Velo, G.3
-
12
-
-
58149363006
-
Generalized Strichartz inequalities for the wave equation
-
J. Ginibre G. Velo 1995 Generalized Strichartz inequalities for the wave equation J. Funct. Anal. 133 50 68
-
(1995)
J. Funct. Anal.
, vol.133
, pp. 50-68
-
-
Ginibre, J.1
Velo, G.2
-
13
-
-
0000026775
-
Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
-
M. G. Grillakis 1990 Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity Ann. of Math. 132 485 509
-
(1990)
Ann. of Math.
, vol.132
, pp. 485-509
-
-
Grillakis, M.G.1
-
14
-
-
84990574949
-
Regularity for the wave equation with a critical nonlinearity
-
M. G. Grillakis 1992 Regularity for the wave equation with a critical nonlinearity Comm. Pure Appl. Math. 45 749 774
-
(1992)
Comm. Pure Appl. Math.
, vol.45
, pp. 749-774
-
-
Grillakis, M.G.1
-
16
-
-
0001226256
-
Unique continuation and absence of positive eigenvalues for Schrödinger operators
-
D. Jerison C. E. Kenig 1985 Unique continuation and absence of positive eigenvalues for Schrödinger operators Ann. of Math. 121 463 494
-
(1985)
Ann. of Math.
, vol.121
, pp. 463-494
-
-
Jerison, D.1
Kenig, C.E.2
-
17
-
-
0000119567
-
Global and unique weak solutions of nonlinear wave equations
-
L. Kapitanski 1994 Global and unique weak solutions of nonlinear wave equations Math. Res. Lett. 1 211 223
-
(1994)
Math. Res. Lett.
, vol.1
, pp. 211-223
-
-
Kapitanski, L.1
-
19
-
-
33750526878
-
Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case
-
C. E. Kenig F. Merle 2006 Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case Invent. Math. 166 645 675
-
(2006)
Invent. Math.
, vol.166
, pp. 645-675
-
-
Kenig, C.E.1
Merle, F.2
-
20
-
-
57049156183
-
- Scattering for H1/2 bounded solutions to the cubic, defocusing NLS in 3 dimensions
-
- Scattering for H1/2 bounded solutions to the cubic, defocusing NLS in 3 dimensions. To appear in Trans. Amer. Math. Soc.
-
To Appear in Trans. Amer. Math. Soc.
-
-
-
21
-
-
84990553608
-
Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle
-
C. E. Kenig G. Ponce L. Vega 1993 Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle Comm. Pure Appl. Math. 46 527 620
-
(1993)
Comm. Pure Appl. Math.
, vol.46
, pp. 527-620
-
-
Kenig, C.E.1
Ponce, G.2
Vega, L.3
-
22
-
-
0035922239
-
On the defect of compactness for the Strichartz estimates of the Schrödinger equations
-
S. Keraani 2001 On the defect of compactness for the Strichartz estimates of the Schrödinger equations J. Differential Equations 175 353 392
-
(2001)
J. Differential Equations
, vol.175
, pp. 353-392
-
-
Keraani, S.1
-
23
-
-
34250849129
-
On the focusing critical semi-linear wave equation
-
J. Krieger W. Schlag 2007 On the focusing critical semi-linear wave equation Amer. J. Math. 129 843 913
-
(2007)
Amer. J. Math.
, vol.129
, pp. 843-913
-
-
Krieger, J.1
Schlag, W.2
-
25
-
-
0001478425
-
On existence and scattering with minimal regularity for semilinear wave equations
-
H. Lindblad C. D. Sogge 1995 On existence and scattering with minimal regularity for semilinear wave equations J. Funct. Anal. 130 357 426
-
(1995)
J. Funct. Anal.
, vol.130
, pp. 357-426
-
-
Lindblad, H.1
Sogge, C.D.2
-
26
-
-
85030719142
-
The concentration-compactness principle in the calculus of variations. the locally compact case. II
-
P. L. Lions 1984 The concentration-compactness principle in the calculus of variations. The locally compact case. II Ann. Inst. H. Poincaré Anal. Non Linéaire 1 223 283
-
(1984)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.1
, pp. 223-283
-
-
Lions, P.L.1
-
27
-
-
0035616659
-
Existence of blow-up solutions in the energy space for the critical generalized KdV equation
-
F. Merle 2001 Existence of blow-up solutions in the energy space for the critical generalized KdV equation J. Amer. Math. Soc. 14 555 578
-
(2001)
J. Amer. Math. Soc.
, vol.14
, pp. 555-578
-
-
Merle, F.1
-
28
-
-
1842709141
-
2 solutions of the critical nonlinear Schrödinger equation in 2D
-
2 solutions of the critical nonlinear Schrödinger equation in 2D Internat. Math. Res. Notices 8 399 425
-
(1998)
Internat. Math. Res. Notices
, vol.8
, pp. 399-425
-
-
Merle, F.1
Vega, L.2
-
29
-
-
0034407299
-
A Liouville theorem for vector-valued nonlinear heat equations and applications
-
F. Merle H. Zaag 2000 A Liouville theorem for vector-valued nonlinear heat equations and applications Math. Ann. 316 103 137
-
(2000)
Math. Ann.
, vol.316
, pp. 103-137
-
-
Merle, F.1
Zaag, H.2
-
30
-
-
0141430071
-
Determination of the blow-up rate for the semilinear wave equation
-
F. Merle H. Zaag 2003 Determination of the blow-up rate for the semilinear wave equation Amer. J. Math. 125 1147 1164
-
(2003)
Amer. J. Math.
, vol.125
, pp. 1147-1164
-
-
Merle, F.1
Zaag, H.2
-
31
-
-
0000835523
-
Blow-up of H1 solution for the nonlinear Schrödinger equation
-
T. Ogawa Y. Tsutsumi 1991 Blow-up of H1 solution for the nonlinear Schrödinger equation J. Differential Equations 92 317 330
-
(1991)
J. Differential Equations
, vol.92
, pp. 317-330
-
-
Ogawa, T.1
Tsutsumi, Y.2
-
32
-
-
51649189214
-
Saddle points and instability of nonlinear hyperbolic equations
-
L. E. Payne D. H. Sattinger 1975 Saddle points and instability of nonlinear hyperbolic equations Israel J. Math. 22 273 303
-
(1975)
Israel J. Math.
, vol.22
, pp. 273-303
-
-
Payne, L.E.1
Sattinger, D.H.2
-
33
-
-
0001284137
-
Nonlinear small data scattering for the wave and Klein-Gordon equation
-
H. Pecher 1984 Nonlinear small data scattering for the wave and Klein-Gordon equation Math. Z. 185 261 270
-
(1984)
Math. Z.
, vol.185
, pp. 261-270
-
-
Pecher, H.1
-
34
-
-
0000886834
-
On global solution of nonlinear hyperbolic equations
-
D. H. Sattinger 1968 On global solution of nonlinear hyperbolic equations Arch. Rational Mech. Anal. 30 148 172
-
(1968)
Arch. Rational Mech. Anal.
, vol.30
, pp. 148-172
-
-
Sattinger, D.H.1
-
35
-
-
0001597155
-
Regularity results for nonlinear wave equations
-
J. Shatah M. Struwe 1993 Regularity results for nonlinear wave equations Ann. of Math. 138 503 518
-
(1993)
Ann. of Math.
, vol.138
, pp. 503-518
-
-
Shatah, J.1
Struwe, M.2
-
36
-
-
84962991958
-
Well-posedness in the energy space for semilinear wave equations with critical growth
-
J. Shatah M. Struwe 1994 Well-posedness in the energy space for semilinear wave equations with critical growth Int. Math. Res. Notices 1994 303 309
-
(1994)
Int. Math. Res. Notices
, vol.1994
, pp. 303-309
-
-
Shatah, J.1
Struwe, M.2
-
38
-
-
84968468449
-
Oscillatory integrals and unique continuation for second order elliptic differential equations
-
C. D. Sogge 1989 Oscillatory integrals and unique continuation for second order elliptic differential equations J. Amer. Math. Soc. 2 491 515
-
(1989)
J. Amer. Math. Soc.
, vol.2
, pp. 491-515
-
-
Sogge, C.D.1
-
40
-
-
0347852485
-
On the generalized Korteweg-de Vries-type equations
-
G. Staffilani 1997 On the generalized Korteweg-de Vries-type equations Differential Integral Equations 10 777 796
-
(1997)
Differential Integral Equations
, vol.10
, pp. 777-796
-
-
Staffilani, G.1
-
43
-
-
34250392866
-
Best constant in Sobolev inequality
-
G. Talenti 1976 Best constant in Sobolev inequality Ann. Mat. Pura Appl. 110 353 372
-
(1976)
Ann. Mat. Pura Appl.
, vol.110
, pp. 353-372
-
-
Talenti, G.1
-
44
-
-
57049088168
-
Spacetime bounds for the energy-critical nonlinear wave equation in three spatial dimensions
-
T. Tao 2006 Spacetime bounds for the energy-critical nonlinear wave equation in three spatial dimensions Dyn. Partial Differ. Equ. 3 93 110
-
(2006)
Dyn. Partial Differ. Equ.
, vol.3
, pp. 93-110
-
-
Tao, T.1
-
45
-
-
27644461939
-
Stability of energy-critical nonlinear Schrödinger equations in high dimensions
-
Tao, T. & Visan, M., Stability of energy-critical nonlinear Schrödinger equations in high dimensions. Electron. J. Differential Equations, (2005), No. 118, 28 pp.
-
(2005)
Electron. J. Differential Equations
, Issue.118
, pp. 28
-
-
Tao, T.1
Visan, M.2
-
46
-
-
0010786492
-
-
Amer. Math. Soc. Providence, RI
-
Taylor, M. E., Tools for PDE. Pseudodifferential Operators, Paradifferential Operators, and Layer Potentials. Mathematical Surveys and Monographs, 81. Amer. Math. Soc., Providence, RI, 2000.
-
(2000)
Tools for PDE. Pseudodifferential Operators, Paradifferential Operators, and Layer Potentials. Mathematical Surveys and Monographs, 81
-
-
Taylor, M.E.1
-
47
-
-
0000471156
-
Remarks concerning the conformal deformation of Riemannian structures on compact manifolds
-
N. S. Trudinger 1968 Remarks concerning the conformal deformation of Riemannian structures on compact manifolds Ann. Scuola Norm. Sup. Pisa Cl. Sci. 22 265 274
-
(1968)
Ann. Scuola Norm. Sup. Pisa Cl. Sci.
, vol.22
, pp. 265-274
-
-
Trudinger, N.S.1
-
48
-
-
52449147441
-
Recent work on sharp estimates in second-order elliptic unique continuation problems
-
T. H. Wolff 1993 Recent work on sharp estimates in second-order elliptic unique continuation problems J. Geom. Anal. 3 621 650
-
(1993)
J. Geom. Anal.
, vol.3
, pp. 621-650
-
-
Wolff, T.H.1
|