-
1
-
-
0000657461
-
Local and global solvability of some parabolic systems modeling chemotaxis
-
Biler P. Local and global solvability of some parabolic systems modeling chemotaxis. Adv. Math. Sci. Appl. 8 (1998) 715-743
-
(1998)
Adv. Math. Sci. Appl.
, vol.8
, pp. 715-743
-
-
Biler, P.1
-
2
-
-
0034370899
-
Long time behavior of solutions to Nernst-Planck and Debye-Hünkel drift-diffusion systems
-
Biler P., and Dolbeault J. Long time behavior of solutions to Nernst-Planck and Debye-Hünkel drift-diffusion systems. Ann. Henri Poincaré 1 (2000) 461-472
-
(2000)
Ann. Henri Poincaré
, vol.1
, pp. 461-472
-
-
Biler, P.1
Dolbeault, J.2
-
3
-
-
0000219814
-
The Debye system: Existence and large time behavior of solutions
-
Biler P., Hebisch W., and Nadzieja T. The Debye system: Existence and large time behavior of solutions. Nonlinear Anal. 23 (1994) 1189-1209
-
(1994)
Nonlinear Anal.
, vol.23
, pp. 1189-1209
-
-
Biler, P.1
Hebisch, W.2
Nadzieja, T.3
-
4
-
-
0002854786
-
Global solutions of the time-dependent drift-diffusion semiconductor equations
-
Fang W., and Ito K. Global solutions of the time-dependent drift-diffusion semiconductor equations. J. Differential Equations 123 (1995) 523-566
-
(1995)
J. Differential Equations
, vol.123
, pp. 523-566
-
-
Fang, W.1
Ito, K.2
-
5
-
-
0002756571
-
Solutions to a nonlinear drift-diffusion model for semiconductors
-
38 pp. (electronic)
-
Fang W., and Ito K. Solutions to a nonlinear drift-diffusion model for semiconductors. Electron. J. Differential Equations 15 (1999) 38 pp. (electronic)
-
(1999)
Electron. J. Differential Equations
, vol.15
-
-
Fang, W.1
Ito, K.2
-
6
-
-
34250947482
-
On Navier-Stokes initial value problem 1
-
Fujita H., and Kato T. On Navier-Stokes initial value problem 1. Arch. Ration. Mech. Anal. 46 (1964) 269-315
-
(1964)
Arch. Ration. Mech. Anal.
, vol.46
, pp. 269-315
-
-
Fujita, H.1
Kato, T.2
-
7
-
-
0037509741
-
On the uniqueness of solutions to the drift-diffusion model of semiconductor devices
-
Gajewski H. On the uniqueness of solutions to the drift-diffusion model of semiconductor devices. Math. Models Methods Appl. Sci. 4 (1994) 121-133
-
(1994)
Math. Models Methods Appl. Sci.
, vol.4
, pp. 121-133
-
-
Gajewski, H.1
-
8
-
-
0022499052
-
On the basic equations for carrier transport in semiconductors
-
Gajewski H., and Gröger K. On the basic equations for carrier transport in semiconductors. J. Math. Anal. Appl. 113 (1986) 12-35
-
(1986)
J. Math. Anal. Appl.
, vol.113
, pp. 12-35
-
-
Gajewski, H.1
Gröger, K.2
-
9
-
-
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 61 (1986) 186-212
-
(1986)
J. Differential Equations
, vol.61
, pp. 186-212
-
-
Giga, Y.1
-
10
-
-
0001300372
-
Two-dimensional Navier-Stokes flow with measure as initial vorticity
-
Giga Y., Miyakawa T., and Osada H. Two-dimensional Navier-Stokes flow with measure as initial vorticity. Arch. Ration. Mech. Anal. 104 (1988) 223-250
-
(1988)
Arch. Ration. Mech. Anal.
, vol.104
, pp. 223-250
-
-
Giga, Y.1
Miyakawa, T.2
Osada, H.3
-
11
-
-
33646866104
-
Solvability and smoothing effect for semilinear parabolic equations
-
Hoshino H., and Yamada Y. Solvability and smoothing effect for semilinear parabolic equations. Funkcial. Ekvac. 34 3 (1991) 475-494
-
(1991)
Funkcial. Ekvac.
, vol.34
, Issue.3
, pp. 475-494
-
-
Hoshino, H.1
Yamada, Y.2
-
12
-
-
0000637740
-
Qualitative behavior of solutions of a degenerate nonlinear drift-diffusion model for semiconductors
-
Jüngel A. Qualitative behavior of solutions of a degenerate nonlinear drift-diffusion model for semiconductors. Math. Models Methods Appl. Sci. 5 (1995) 497-518
-
(1995)
Math. Models Methods Appl. Sci.
, vol.5
, pp. 497-518
-
-
Jüngel, A.1
-
13
-
-
0000911759
-
m with applications to weak solutions
-
m with applications to weak solutions. Math. Z. 187 (1984) 471-480
-
(1984)
Math. Z.
, vol.187
, pp. 471-480
-
-
Kato, T.1
-
14
-
-
0014748565
-
Initiation of slime mold aggregation viewed as an instability
-
Keller E.F., and Segel L.A. Initiation of slime mold aggregation viewed as an instability. J. Theoret. Biol. 26 (1970) 399-415
-
(1970)
J. Theoret. Biol.
, vol.26
, pp. 399-415
-
-
Keller, E.F.1
Segel, L.A.2
-
15
-
-
33645699361
-
The uniform boundedness and threshold for the global existence of the radial solution to a drift-diffusion system
-
Kurokiba M., Nagai T., and Ogawa T. The uniform boundedness and threshold for the global existence of the radial solution to a drift-diffusion system. Comm. Pure Appl. Anal. 5 1 (2006) 97-106
-
(2006)
Comm. Pure Appl. Anal.
, vol.5
, Issue.1
, pp. 97-106
-
-
Kurokiba, M.1
Nagai, T.2
Ogawa, T.3
-
16
-
-
25844459072
-
Finite time blow-up of the solution for a nonlinear parabolic equation of drift-diffusion type
-
Kurokiba M., and Ogawa T. Finite time blow-up of the solution for a nonlinear parabolic equation of drift-diffusion type. Differential Integral Equations 16 4 (2003) 427-452
-
(2003)
Differential Integral Equations
, vol.16
, Issue.4
, pp. 427-452
-
-
Kurokiba, M.1
Ogawa, T.2
-
17
-
-
0000668443
-
An initial value problem from semiconductor device theory
-
Mock M.S. An initial value problem from semiconductor device theory. SIAM J. Math. 5 4 (1974) 597-612
-
(1974)
SIAM J. Math.
, vol.5
, Issue.4
, pp. 597-612
-
-
Mock, M.S.1
-
18
-
-
0042727055
-
Global existence of solutions to a parabolic system for chemotaxis in two space dimensions
-
Nagai T. Global existence of solutions to a parabolic system for chemotaxis in two space dimensions. Nonlinear Anal. 30 (1997) 5381-5388
-
(1997)
Nonlinear Anal.
, vol.30
, pp. 5381-5388
-
-
Nagai, T.1
-
19
-
-
0035425984
-
Global existence and blowup of solutions to a chemotaxis system
-
Nagai T. Global existence and blowup of solutions to a chemotaxis system. Nonlinear Anal. 47 2 (2001) 777-787
-
(2001)
Nonlinear Anal.
, vol.47
, Issue.2
, pp. 777-787
-
-
Nagai, T.1
-
20
-
-
0001205112
-
Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis
-
Nagai T., Senba T., and Yoshida K. Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis. Funkcial. Ekvac. 40 3 (1997) 411-433
-
(1997)
Funkcial. Ekvac.
, vol.40
, Issue.3
, pp. 411-433
-
-
Nagai, T.1
Senba, T.2
Yoshida, K.3
-
21
-
-
40649126474
-
-
S. Odanaka, Mathematical modeling of theory of semiconductor devices, Lecture Note at Osaka University (in Japanese)
-
S. Odanaka, Mathematical modeling of theory of semiconductor devices, Lecture Note at Osaka University (in Japanese)
-
-
-
-
24
-
-
51249183619
-
Existence and non-existence of global solutions for a semilinear heat equation
-
Weissler F. Existence and non-existence of global solutions for a semilinear heat equation. Israel J. Math. 38 (1981) 29-40
-
(1981)
Israel J. Math.
, vol.38
, pp. 29-40
-
-
Weissler, F.1
-
25
-
-
0001488448
-
Norm behavior of solutions to a parabolic system of chemotaxis
-
Yagi A. Norm behavior of solutions to a parabolic system of chemotaxis. Math. Jpn. 45 (1997) 241-265
-
(1997)
Math. Jpn.
, vol.45
, pp. 241-265
-
-
Yagi, A.1
-
26
-
-
0003320023
-
Weakly Differentiable Functions
-
Springer-Verlag
-
Ziemer W.P. Weakly Differentiable Functions. Grad. Texts in Math. vol. 120 (1989), Springer-Verlag
-
(1989)
Grad. Texts in Math.
, vol.120
-
-
Ziemer, W.P.1
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