-
1
-
-
0011360475
-
On the strong solvability of the Navier-Stokes equations
-
Amann H. On the strong solvability of the Navier-Stokes equations. J. Math. Fluid Mech. 2 1 (2000) 16-98
-
(2000)
J. Math. Fluid Mech.
, vol.2
, Issue.1
, pp. 16-98
-
-
Amann, H.1
-
2
-
-
67649383116
-
Semigroups and evolution equations: Functional calculus, regularity and kernel estimates
-
Evolutionary Equations, Elsevier/North-Holland, Amsterdam
-
Arendt W. Semigroups and evolution equations: Functional calculus, regularity and kernel estimates. Evolutionary Equations. Handb. Differ. Equ. vol. I (2004), Elsevier/North-Holland, Amsterdam 1-85
-
(2004)
Handb. Differ. Equ.
, vol.I
, pp. 1-85
-
-
Arendt, W.1
-
3
-
-
0003360898
-
Interpolation Spaces. An Introduction
-
Springer-Verlag, Berlin
-
Bergh J., and Löfström J. Interpolation Spaces. An Introduction. Grundlehren Math. Wiss. vol. 223 (1976), Springer-Verlag, Berlin
-
(1976)
Grundlehren Math. Wiss.
, vol.223
-
-
Bergh, J.1
Löfström, J.2
-
4
-
-
0002129406
-
Solution of the first boundary value problem for an equation of continuity of an incompressible medium
-
Bogovskiǐ M.E. Solution of the first boundary value problem for an equation of continuity of an incompressible medium. Dokl. Akad. Nauk SSSR 248 5 (1979) 1037-1040
-
(1979)
Dokl. Akad. Nauk SSSR
, vol.248
, Issue.5
, pp. 1037-1040
-
-
Bogovskiǐ, M.E.1
-
7
-
-
0039565203
-
On the boundedness of the Stokes semigroup in two-dimensional exterior domains
-
Borchers W., and Varnhorn W. On the boundedness of the Stokes semigroup in two-dimensional exterior domains. Math. Z. 213 2 (1993) 275-299
-
(1993)
Math. Z.
, vol.213
, Issue.2
, pp. 275-299
-
-
Borchers, W.1
Varnhorn, W.2
-
8
-
-
39249085880
-
-
R. Brown, personal communication
-
R. Brown, personal communication
-
-
-
-
9
-
-
0040087923
-
Estimates for the Stokes operator in Lipschitz domains
-
Brown R., and Shen Z. Estimates for the Stokes operator in Lipschitz domains. Indiana Univ. J. 44 (1995) 1183-1206
-
(1995)
Indiana Univ. J.
, vol.44
, pp. 1183-1206
-
-
Brown, R.1
Shen, Z.2
-
10
-
-
0013419258
-
On the dimension of the attractor for the non-homogeneous Navier-Stokes equations in non-smooth domains
-
Brown R., Perry P., and Shen Z. On the dimension of the attractor for the non-homogeneous Navier-Stokes equations in non-smooth domains. Indiana Univ. Math. J. 49 1 (2000) 81-112
-
(2000)
Indiana Univ. Math. J.
, vol.49
, Issue.1
, pp. 81-112
-
-
Brown, R.1
Perry, P.2
Shen, Z.3
-
11
-
-
0002307515
-
Stationary Stokes and Navier-Stokes systems on two- or three-dimensional domains with corners. I. Linearized equations
-
Dauge M. Stationary Stokes and Navier-Stokes systems on two- or three-dimensional domains with corners. I. Linearized equations. SIAM J. Math. Anal. 20 1 (1989) 74-97
-
(1989)
SIAM J. Math. Anal.
, vol.20
, Issue.1
, pp. 74-97
-
-
Dauge, M.1
-
12
-
-
0004143319
-
-
Masson, Paris
-
Dautray R., and Lions J.-L. Analyse mathématique et calcul numérique pour les sciences et les techniques, vol. 8, Évolution: semi-groupe, variationnel (1988), Masson, Paris
-
(1988)
Analyse mathématique et calcul numérique pour les sciences et les techniques, vol. 8, Évolution: semi-groupe, variationnel
-
-
Dautray, R.1
Lions, J.-L.2
-
14
-
-
0002158717
-
Un'applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine
-
(in Italian)
-
de Simon L. Un'applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine. Rend. Sem. Mat. Univ. Padova 34 (1964) 205-223 (in Italian)
-
(1964)
Rend. Sem. Mat. Univ. Padova
, vol.34
, pp. 205-223
-
-
de Simon, L.1
-
16
-
-
84985341014
-
Strong solutions of the Navier-Stokes system in Lipschitz bounded domains
-
Deuring P., and von Wahl W. Strong solutions of the Navier-Stokes system in Lipschitz bounded domains. Math. Nachr. 171 (1995) 111-148
-
(1995)
Math. Nachr.
, vol.171
, pp. 111-148
-
-
Deuring, P.1
von Wahl, W.2
-
18
-
-
84865687708
-
The Dirichlet problem for the Stokes system on Lipschitz domains
-
Fabes E.B., Kenig C.E., and Verchota G.C. The Dirichlet problem for the Stokes system on Lipschitz domains. Duke Math. J. 57 3 (1988) 769-793
-
(1988)
Duke Math. J.
, vol.57
, Issue.3
, pp. 769-793
-
-
Fabes, E.B.1
Kenig, C.E.2
Verchota, G.C.3
-
19
-
-
0000474697
-
Boundary layers on Sobolev-Besov spaces and Poisson's equation for the Laplacian in Lipschitz domains
-
Fabes E., Mendez O., and Mitrea M. Boundary layers on Sobolev-Besov spaces and Poisson's equation for the Laplacian in Lipschitz domains. J. Funct. Anal. 159 (1998) 323-368
-
(1998)
J. Funct. Anal.
, vol.159
, pp. 323-368
-
-
Fabes, E.1
Mendez, O.2
Mitrea, M.3
-
20
-
-
84966251358
-
Potential space estimates for Green potentials in convex domains
-
Fromm S. Potential space estimates for Green potentials in convex domains. Proc. Amer. Math. Soc. 119 1 (1993) 225-233
-
(1993)
Proc. Amer. Math. Soc.
, vol.119
, Issue.1
, pp. 225-233
-
-
Fromm, S.1
-
21
-
-
34250947482
-
On the Navier-Stokes initial value problem I
-
Fujita H., and Kato T. On the Navier-Stokes initial value problem I. Arch. Ration. Mech. Anal. 16 (1964) 269-315
-
(1964)
Arch. Ration. Mech. Anal.
, vol.16
, pp. 269-315
-
-
Fujita, H.1
Kato, T.2
-
22
-
-
0007045997
-
On fractional powers of the Stokes operator
-
Fujita H., and Morimoto H. On fractional powers of the Stokes operator. Proc. Japan Acad. 46 (1970) 1141-1143
-
(1970)
Proc. Japan Acad.
, vol.46
, pp. 1141-1143
-
-
Fujita, H.1
Morimoto, H.2
-
23
-
-
34250247917
-
r spaces
-
r spaces. Math. Z. 178 3 (1981) 297-329
-
(1981)
Math. Z.
, vol.178
, Issue.3
, pp. 297-329
-
-
Giga, Y.1
-
25
-
-
0021897767
-
r of the Navier-Stokes initial value problem
-
r of the Navier-Stokes initial value problem. Arch. Ration. Mech. Anal. 89 3 (1985) 267-281
-
(1985)
Arch. Ration. Mech. Anal.
, vol.89
, Issue.3
, pp. 267-281
-
-
Giga, Y.1
Miyakawa, T.2
-
26
-
-
0003320921
-
Elliptic Problems in Nonsmooth Domains
-
Pitman, Boston, MA
-
Grisvard P. Elliptic Problems in Nonsmooth Domains. Monogr. Stud. Math. vol. 24 (1985), Pitman, Boston, MA
-
(1985)
Monogr. Stud. Math.
, vol.24
-
-
Grisvard, P.1
-
27
-
-
7444255467
-
p Sobolev spaces
-
p Sobolev spaces. J. Math. Fluid Mech. 3 1 (2001) 57-81
-
(2001)
J. Math. Fluid Mech.
, vol.3
, Issue.1
, pp. 57-81
-
-
Grubb, G.1
-
28
-
-
0000271720
-
The inhomogeneous Dirichlet problem in Lipschitz domains
-
Jerison D., and Kenig C. The inhomogeneous Dirichlet problem in Lipschitz domains. J. Funct. Anal. 130 (1995) 161-219
-
(1995)
J. Funct. Anal.
, vol.130
, pp. 161-219
-
-
Jerison, D.1
Kenig, C.2
-
30
-
-
84972498479
-
Fractional powers of dissipative operators. II
-
Kato T. Fractional powers of dissipative operators. II. J. Math. Soc. Japan 14 (1962) 242-248
-
(1962)
J. Math. Soc. Japan
, vol.14
, pp. 242-248
-
-
Kato, T.1
-
32
-
-
33746011979
-
Recent Developments in the Navier-Stokes Problem
-
Chapman & Hall/CRC, Boca Raton, FL
-
Lemarié-Rieusset P.G. Recent Developments in the Navier-Stokes Problem. Chapman & Hall/CRC Res. Notes Math. vol. 431 (2002), Chapman & Hall/CRC, Boca Raton, FL
-
(2002)
Chapman & Hall/CRC Res. Notes Math.
, vol.431
-
-
Lemarié-Rieusset, P.G.1
-
33
-
-
84972508297
-
Espaces d'interpolation et domaines de puissances fractionnaires d'opérateurs
-
(in French)
-
Lions J.-L. Espaces d'interpolation et domaines de puissances fractionnaires d'opérateurs. J. Math. Soc. Japan 14 (1962) 233-241 (in French)
-
(1962)
J. Math. Soc. Japan
, vol.14
, pp. 233-241
-
-
Lions, J.-L.1
-
34
-
-
9344241343
-
Problèmes aux limites non homogènes et applications, vol. 1
-
Dunod, Paris (in French)
-
Lions J.-L., and Magenes E. Problèmes aux limites non homogènes et applications, vol. 1. Travaux et Recherches Mathématiques vol. 17 (1968), Dunod, Paris (in French)
-
(1968)
Travaux et Recherches Mathématiques
, vol.17
-
-
Lions, J.-L.1
Magenes, E.2
-
36
-
-
0010602596
-
Wavelets, paraproducts, and Navier-Stokes equations
-
Int. Press, Boston, MA
-
Meyer Y. Wavelets, paraproducts, and Navier-Stokes equations. Current Developments in Mathematics (1997), Int. Press, Boston, MA 105-212
-
(1997)
Current Developments in Mathematics
, pp. 105-212
-
-
Meyer, Y.1
-
37
-
-
39249083527
-
-
D. Mitrea, M. Mitrea, S. Monniaux, The Poisson problem for the exterior derivative operator with Dirichlet boundary condition on nonsmooth domains, preprint, 2007
-
D. Mitrea, M. Mitrea, S. Monniaux, The Poisson problem for the exterior derivative operator with Dirichlet boundary condition on nonsmooth domains, preprint, 2007
-
-
-
-
38
-
-
11144332000
-
Sharp Hodge decompositions, Maxwell's equations, and vector Poisson problems on nonsmooth, three-dimensional Riemannian manifolds
-
Mitrea M. Sharp Hodge decompositions, Maxwell's equations, and vector Poisson problems on nonsmooth, three-dimensional Riemannian manifolds. Duke Math. J. 125 3 (2004) 467-547
-
(2004)
Duke Math. J.
, vol.125
, Issue.3
, pp. 467-547
-
-
Mitrea, M.1
-
39
-
-
39249084653
-
-
M. Mitrea, S. Monniaux, On the analyticity of the semigroup generated by the Stokes operator with Neumann type boundary conditions on Lipschitz subdomains of Riemannian manifolds, preprint, 2007
-
M. Mitrea, S. Monniaux, On the analyticity of the semigroup generated by the Stokes operator with Neumann type boundary conditions on Lipschitz subdomains of Riemannian manifolds, preprint, 2007
-
-
-
-
40
-
-
0001929311
-
Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem
-
Mitrea M., and Taylor M. Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem. J. Funct. Anal. 176 (2000) 1-79
-
(2000)
J. Funct. Anal.
, vol.176
, pp. 1-79
-
-
Mitrea, M.1
Taylor, M.2
-
41
-
-
0035733410
-
Navier-Stokes equations on Lipschitz domains in Riemannian manifolds
-
Mitrea M., and Taylor M. Navier-Stokes equations on Lipschitz domains in Riemannian manifolds. Math. Ann. 321 4 (2001) 955-987
-
(2001)
Math. Ann.
, vol.321
, Issue.4
, pp. 955-987
-
-
Mitrea, M.1
Taylor, M.2
-
42
-
-
39249084258
-
-
p and Hardy space estimates for the Stokes system in Lipschitz domains, preprint, 2007
-
p and Hardy space estimates for the Stokes system in Lipschitz domains, preprint, 2007
-
-
-
-
44
-
-
33746176565
-
Navier-Stokes equations in arbitrary domains, the Fujita-Kato scheme
-
Monniaux S. Navier-Stokes equations in arbitrary domains, the Fujita-Kato scheme. Math. Res. Lett. 13 (2006) 455-461
-
(2006)
Math. Res. Lett.
, vol.13
, pp. 455-461
-
-
Monniaux, S.1
-
45
-
-
0003316678
-
Semigroups of Linear Operators and Applications to Partial Differential Equations
-
Springer-Verlag, New York
-
Pazy A. Semigroups of Linear Operators and Applications to Partial Differential Equations. Appl. Math. Sci. vol. 44 (1983), Springer-Verlag, New York
-
(1983)
Appl. Math. Sci.
, vol.44
-
-
Pazy, A.1
-
46
-
-
0040036758
-
On restrictions and extensions of the Besov and Triebel-Lizorkin spaces with respect to Lipschitz domains
-
Rychkov V. On restrictions and extensions of the Besov and Triebel-Lizorkin spaces with respect to Lipschitz domains. J. London Math. Soc. 60 (1999) 237-257
-
(1999)
J. London Math. Soc.
, vol.60
, pp. 237-257
-
-
Rychkov, V.1
-
47
-
-
0003419898
-
-
de Gruyter, Berlin
-
Runst T., and Sickel W. Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Operators (1996), de Gruyter, Berlin
-
(1996)
Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Operators
-
-
Runst, T.1
Sickel, W.2
-
48
-
-
0001318987
-
Boundary value problems for parabolic Lamé systems and a nonstationary linearized system of Navier-Stokes equations in Lipschitz cylinders
-
Shen Z. Boundary value problems for parabolic Lamé systems and a nonstationary linearized system of Navier-Stokes equations in Lipschitz cylinders. Amer. J. Math. 113 (1991) 293-373
-
(1991)
Amer. J. Math.
, vol.113
, pp. 293-373
-
-
Shen, Z.1
-
49
-
-
0001555468
-
A note on the Dirichlet problem for the Stokes systems in Lipschitz domains
-
Shen Z. A note on the Dirichlet problem for the Stokes systems in Lipschitz domains. Proc. Amer. Math. Soc. 123 3 (1995) 801-811
-
(1995)
Proc. Amer. Math. Soc.
, vol.123
, Issue.3
, pp. 801-811
-
-
Shen, Z.1
-
50
-
-
27544432936
-
Non-stationary equations of viscous fluid dynamics
-
Sobolevskiǐ P.E. Non-stationary equations of viscous fluid dynamics. Dokl. Akad. Nauk SSSR 128 (1959) 45-48
-
(1959)
Dokl. Akad. Nauk SSSR
, vol.128
, pp. 45-48
-
-
Sobolevskiǐ, P.E.1
-
51
-
-
34250298739
-
Estimates for solutions of nonstationary Navier-Stokes equations
-
Solonnikov V.A. Estimates for solutions of nonstationary Navier-Stokes equations. J. Soviet Math. 8 (1997) 467-529
-
(1997)
J. Soviet Math.
, vol.8
, pp. 467-529
-
-
Solonnikov, V.A.1
-
52
-
-
0003201639
-
Singular Integrals and Differentiability Properties of Functions
-
Princeton Univ. Press, Princeton, NJ
-
Stein E.M. Singular Integrals and Differentiability Properties of Functions. Princeton Math. Ser. vol. 30 (1970), Princeton Univ. Press, Princeton, NJ
-
(1970)
Princeton Math. Ser.
, vol.30
-
-
Stein, E.M.1
-
55
-
-
39249084213
-
Incompressible fluid flows on rough domains
-
Semigroups of Operators: Theory and Applications, Birkhäuser, Basel
-
Taylor M.E. Incompressible fluid flows on rough domains. Semigroups of Operators: Theory and Applications. Progr. Nonlinear Differential Equations Appl. vol. 42 (2000), Birkhäuser, Basel 320-334
-
(2000)
Progr. Nonlinear Differential Equations Appl.
, vol.42
, pp. 320-334
-
-
Taylor, M.E.1
-
56
-
-
0042420166
-
Function spaces on Lipschitz domains and on Lipschitz manifolds. Characteristic functions as pointwise multipliers
-
Triebel H. Function spaces on Lipschitz domains and on Lipschitz manifolds. Characteristic functions as pointwise multipliers. Rev. Mat. Complut. 15 (2002) 475-524
-
(2002)
Rev. Mat. Complut.
, vol.15
, pp. 475-524
-
-
Triebel, H.1
-
57
-
-
0040923893
-
The Equations of Navier-Stokes and Abstract Parabolic Equations
-
Vieweg, Braunschweig
-
von Wahl W. The Equations of Navier-Stokes and Abstract Parabolic Equations. Aspects Math. vol. 8 (1985), Vieweg, Braunschweig
-
(1985)
Aspects Math.
, vol.8
-
-
von Wahl, W.1
|