-
1
-
-
34250136481
-
Remarks on the breakdown of smooth solutions for the 3-D Euler equations
-
J. T. BEALE, T. KATO, AND A. MAJDA, Remarks on the breakdown of smooth solutions for the 3-D Euler equations, Comm. Math. Phys., 94 (1984), pp. 61-66.
-
(1984)
Comm. Math. Phys.
, vol.94
, pp. 61-66
-
-
Beale, J.T.1
Kato, T.2
Majda, A.3
-
3
-
-
0003360898
-
Interpolation Spaces: An Introduction
-
Springer-Verlag. Berlin, New York, Heidelberg
-
J. BERGH AND J. LÖFSTRÖM, Interpolation Spaces: An Introduction, Grundlehren Math. Wiss. 223, Springer-Verlag. Berlin, New York, Heidelberg, 1976.
-
(1976)
Grundlehren Math. Wiss.
, vol.223
-
-
Bergh, J.1
Löfström, J.2
-
4
-
-
49149142420
-
Nonlinear Schrödinger evolution equations
-
H. BREZIS AND T. GALLOUET, Nonlinear Schrödinger evolution equations, Nonlinear Anal., 4 (1980), pp. 677-681.
-
(1980)
Nonlinear Anal.
, vol.4
, pp. 677-681
-
-
Brezis, H.1
Gallouet, T.2
-
5
-
-
0000628903
-
A note on limiting cases of Sobolev embedding and convolution inequalities
-
H. BREZIS AND S. WAINGER, A note on limiting cases of Sobolev embedding and convolution inequalities, Comm. Partial Differential Equations, 5 (1980), pp. 773-789.
-
(1980)
Comm. Partial Differential Equations
, vol.5
, pp. 773-789
-
-
Brezis, H.1
Wainger, S.2
-
6
-
-
84898544611
-
Some aspects of weighted and non-weighted hardy spaces
-
Sûrikaisekikenkyûsho Kôkyûroku, Kyoto University, Research Institute for Mathematical Sciences, Kyoto, Japan, (in Japanese)
-
B. H. Qui, Some aspects of weighted and non-weighted hardy spaces, in The Study of Hardy Spaces and Several Variable Fourier Analysis by Real Analytical Methods, Sûrikaisekikenkyûsho Kôkyûroku 383, Kyoto University, Research Institute for Mathematical Sciences, Kyoto, Japan, 1980, pp. 38-56 (in Japanese).
-
(1980)
The Study of Hardy Spaces and Several Variable Fourier Analysis by Real Analytical Methods
, vol.383
, pp. 38-56
-
-
Qui, B.H.1
-
7
-
-
0038205255
-
Perfect Incompressible Fluids
-
Oxford University Press, New York
-
J.-Y. CHEMIN, Perfect Incompressible Fluids, Oxford Lecture Ser. Math. Appl. 14, Oxford University Press, New York, 1998.
-
(1998)
Oxford Lecture Ser. Math. Appl.
, vol.14
-
-
Chemin, J.-Y.1
-
8
-
-
0001079873
-
Blow-up and global existence for heat flows of harmonic maps
-
Y.-M. CHEN AND W.-Y. DING, Blow-up and global existence for heat flows of harmonic maps, Invent. Math., 99 (1990), pp. 567-578.
-
(1990)
Invent. Math.
, vol.99
, pp. 567-578
-
-
Chen, Y.-M.1
Ding, W.-Y.2
-
9
-
-
84972521494
-
Finite-time blow-up of the heat flow of harmonic maps from surfaces
-
K.-C. CHANG, W.-Y. DING, AND R. YE, Finite-time blow-up of the heat flow of harmonic maps from surfaces, J. Differential Geom., 36 (1992). pp. 507-515.
-
(1992)
J. Differential Geom.
, vol.36
, pp. 507-515
-
-
Chang, K.-C.1
Ding, W.-Y.2
Ye, R.3
-
10
-
-
0002521307
-
Existence and partial regularity results for the heat flow for harmonic maps
-
Y.-M. CHEN AND M. STRUWE, Existence and partial regularity results for the heat flow for harmonic maps, Math. Z., 201 (1989), pp. 83-103.
-
(1989)
Math. Z.
, vol.201
, pp. 83-103
-
-
Chen, Y.-M.1
Struwe, M.2
-
11
-
-
0000021349
-
Compensated compactness and Hardy spaces
-
R. COIFMAN, P. L. LIONS, Y. MEYER, AND S. SEMMES, Compensated compactness and Hardy spaces, J. Math. Pures Appl., 72 (1993), pp. 247-286.
-
(1993)
J. Math. Pures Appl.
, vol.72
, pp. 247-286
-
-
Coifman, R.1
Lions, P.L.2
Meyer, Y.3
Semmes, S.4
-
12
-
-
0001215075
-
Explosion en temps fini pour le flot des applications harmoniques
-
J.-M. CORON AND J.-M. GHIDAGLIA, Explosion en temps fini pour le flot des applications harmoniques, C.R. Acad. Sci. Paris Ser. I Math., 308 (1989), pp. 339-344.
-
(1989)
C.R. Acad. Sci. Paris Ser. I Math.
, vol.308
, pp. 339-344
-
-
Coron, J.-M.1
Ghidaglia, J.-M.2
-
13
-
-
0001675252
-
Harmonic mappings of Riemannian manifolds
-
J. EELLS AND J. H. SAMPSON, Harmonic mappings of Riemannian manifolds, Amer. J. Math., 86 (1964), pp. 109-160.
-
(1964)
Amer. J. Math.
, vol.86
, pp. 109-160
-
-
Eells, J.1
Sampson, J.H.2
-
14
-
-
0037867565
-
An alternative proof of the Brezis-Wainger inequality
-
H. ENGLER, An alternative proof of the Brezis-Wainger inequality, Comm. Partial Differential Equations, 14 (1989), pp. 541-544.
-
(1989)
Comm. Partial Differential Equations
, vol.14
, pp. 541-544
-
-
Engler, H.1
-
15
-
-
0002104157
-
Partial regularity for stationary harmonic maps into spheres
-
L. C. EVANS, Partial regularity for stationary harmonic maps into spheres, Arch. Ration. Mech. Anal., 116 (1991), pp. 101-113.
-
(1991)
Arch. Ration. Mech. Anal.
, vol.116
, pp. 101-113
-
-
Evans, L.C.1
-
16
-
-
0000629651
-
Partial regularity for harmonic maps of evolution into spheres
-
M. FELDMAN, Partial regularity for harmonic maps of evolution into spheres, Comm. Partial Differential Equations, 19 (1994), pp. 761-790.
-
(1994)
Comm. Partial Differential Equations
, vol.19
, pp. 761-790
-
-
Feldman, M.1
-
17
-
-
46149140458
-
p and regularity of weak solutions of the Navier-Stokes system
-
p and regularity of weak solutions of the Navier-Stokes system, J. Differential Equations, 62 (1986), pp. 186-212.
-
(1986)
J. Differential Equations
, vol.62
, pp. 186-212
-
-
Giga, Y.1
-
19
-
-
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), pp. 519-524.
-
(1990)
C.R, Acad. Sci. Paris Sér. I Math.
, vol.311
, pp. 519-524
-
-
Hélein, F.1
-
20
-
-
84990617895
-
Commutator estimates and the Euler and Navier-Stokes equations
-
T. KATO AND G. PONCE, Commutator estimates and the Euler and Navier-Stokes equations, Comm. Pure Appl. Math., 41 (1988), pp. 891-907.
-
(1988)
Comm. Pure Appl. Math.
, vol.41
, pp. 891-907
-
-
Kato, T.1
Ponce, G.2
-
21
-
-
0012945781
-
The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
-
H. KOZONO, T. OGAWA, AND Y. TANIUCHI, The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations, Math. Z., 242 (2002), pp. 251-278.
-
(2002)
Math. Z.
, vol.242
, pp. 251-278
-
-
Kozono, H.1
Ogawa, T.2
Taniuchi, Y.3
-
22
-
-
0034348203
-
Limiting case of the Sobolev inequality in BMO with application to the Euler equations
-
H. KOZONO AND Y. TANIUCHI. Limiting case of the Sobolev inequality in BMO with application to the Euler equations, Comm. Math. Phys., 214 (2000), pp. 191-200.
-
(2000)
Comm. Math. Phys.
, vol.214
, pp. 191-200
-
-
Kozono, H.1
Taniuchi, Y.2
-
23
-
-
51249193194
-
Sur le mouvement d'un liquide visqeux emplissant l'espace
-
J. LERAY, Sur le mouvement d'un liquide visqeux emplissant l'espace, Acta Math., 63 (1934), pp. 193-248.
-
(1934)
Acta Math.
, vol.63
, pp. 193-248
-
-
Leray, J.1
-
24
-
-
0013252272
-
Interior regularity of weak solutions of the time-dependent Navier-Stokes equation
-
T. OHYAMA, Interior regularity of weak solutions of the time-dependent Navier-Stokes equation, Proc. Japan Acad., 36 (1960), pp. 273-277.
-
(1960)
Proc. Japan Acad.
, vol.36
, pp. 273-277
-
-
Ohyama, T.1
-
25
-
-
0242420296
-
-
preprint, Kyushu University, Fukuoka, Japan
-
T. OGAWA AND Y. TANIUCHI, Critial Sobolev Inequality and Uniqueness Problem to the Navier-Stokes Equations, preprint, Kyushu University, Fukuoka, Japan.
-
Critial Sobolev Inequality and Uniqueness Problem to the Navier-stokes Equations
-
-
Ogawa, T.1
Taniuchi, Y.2
-
26
-
-
0038706224
-
On blow-up criteria of smooth solutions to the 3-D Euler equations in a bounded domain
-
in press
-
T. OGAWA AND Y. TANIUCHI, On blow-up criteria of smooth solutions to the 3-D Euler equations in a bounded domain, J. Differential Equations, in press (2003).
-
(2003)
J. Differential Equations
-
-
Ogawa, T.1
Taniuchi, Y.2
-
27
-
-
0000647078
-
Remarks on a paper by J. T. Beale, T. Kato and A. Majda
-
G. PONCE, Remarks on a paper by J. T. Beale, T. Kato and A. Majda, Comm. Math. Phys., 98 (1985), pp. 349-353.
-
(1985)
Comm. Math. Phys.
, vol.98
, pp. 349-353
-
-
Ponce, G.1
-
28
-
-
0000169262
-
On the interior regularity of weak solutions of the Navier-Stokes equations
-
J. SERRIN, On the interior regularity of weak solutions of the Navier-Stokes equations, Arch. Ration, Mech. Anal., 9 (1962), pp. 187-195.
-
(1962)
Arch. Ration, Mech. Anal.
, vol.9
, pp. 187-195
-
-
Serrin, J.1
-
30
-
-
0038755916
-
Bounded mean oscillation and Sobolev spaces
-
R. S. STRICHARTZ, Bounded mean oscillation and Sobolev spaces, Indiana Univ. Math. J., 29 (1980), pp. 539-558.
-
(1980)
Indiana Univ. Math. J.
, vol.29
, pp. 539-558
-
-
Strichartz, R.S.1
-
31
-
-
0002341651
-
Geometric evolution problems
-
Nonlinear Partial Differential Equations in Differential Geometry, R. Haardt and M. Wolf, eds., AMS, Providence, RI
-
M. STRUWE, Geometric evolution problems, in Nonlinear Partial Differential Equations in Differential Geometry, R. Haardt and M. Wolf, eds., IAS/Park City Math. Ser. 2, AMS, Providence, RI, 1996, pp. 257-333.
-
(1996)
IAS/Park City Math. Ser. 2
, pp. 257-333
-
-
Struwe, M.1
-
32
-
-
0003295738
-
Theory of Function Spaces
-
Birkhäuser-Verlag, Basel
-
H. TRIEBEL, Theory of Function Spaces, Monogr. Math. 78, Birkhäuser-Verlag, Basel, 1983.
-
(1983)
Monogr. Math.
, vol.78
-
-
Triebel, H.1
-
33
-
-
0032263330
-
Hydrodynamics in Besov spaces
-
M. VISHIK, Hydrodynamics in Besov spaces, Arch. Ration. Mech. Anal., 145 (1998), pp. 197-214.
-
(1998)
Arch. Ration. Mech. Anal.
, vol.145
, pp. 197-214
-
-
Vishik, M.1
-
34
-
-
0002131061
-
Uniqueness theorem for the basic nonstationary problem in the dynamics of an ideal incompressible fluid
-
V. I. YUDOVICH, Uniqueness theorem for the basic nonstationary problem in the dynamics of an ideal incompressible fluid, Math. Res. Lett., 2 (1995), pp. 27-38.
-
(1995)
Math. Res. Lett.
, vol.2
, pp. 27-38
-
-
Yudovich, V.I.1
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