-
1
-
-
0003796630
-
-
Academic Press, New York
-
R. A. ADAMS, Sobolev Spaces, Academic Press, New York, 1975.
-
(1975)
Sobolev Spaces
-
-
Adams, R.A.1
-
2
-
-
14544288255
-
-
L. CHEN AND A. JÜNGEL, work in preparation, 2004
-
L. CHEN AND A. JÜNGEL, work in preparation, 2004.
-
-
-
-
3
-
-
0038446673
-
Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion
-
Y. S. CHOI, R. LUI, AND Y. YAMADA, Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion, Discrete Contin. Dynam. Systems, 9 (2003), pp. 1193-1200.
-
(2003)
Discrete Contin. Dynam. Systems
, vol.9
, pp. 1193-1200
-
-
Choi, Y.S.1
Lui, R.2
Yamada, Y.3
-
4
-
-
0038783191
-
A chemotaxis model motivated by angiogenesis
-
L. CORRIAS, B. PERTHAME, AND H. ZAAG, A chemotaxis model motivated by angiogenesis, C. R. Acad. Sci. Paris Sér. I Math., 336 (2003), pp. 141-146.
-
(2003)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.336
, pp. 141-146
-
-
Corrias, L.1
Perthame, B.2
Zaag, H.3
-
5
-
-
0031280714
-
Symmetrization and entropy inequality for general diffusion equations
-
P. DEGOND, S. GÉNIEYS, AND A. JÜNGEL, Symmetrization and entropy inequality for general diffusion equations, C. R. Acad. Sci. Paris Sér. I Math., 325 (1997), pp. 963-968.
-
(1997)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.325
, pp. 963-968
-
-
Degond, P.1
Génieys, S.2
Jüngel, A.3
-
6
-
-
0000329021
-
An initial-boundary value problem for a certain density-dependent diffusion system
-
P. DEURING, An initial-boundary value problem for a certain density-dependent diffusion system, Math. Z., 194 (1987), pp. 375-396.
-
(1987)
Math. Z.
, vol.194
, pp. 375-396
-
-
Deuring, P.1
-
7
-
-
0032445844
-
Global behaviour of a reaction-diffusion system modelling chemotaxis
-
H. GAJEWSKI AND K. ZACHARIAS, Global behaviour of a reaction-diffusion system modelling chemotaxis, Math. Nachr., 195 (1998), pp. 77-114.
-
(1998)
Math. Nachr.
, vol.195
, pp. 77-114
-
-
Gajewski, H.1
Zacharias, K.2
-
8
-
-
0242389718
-
Semi-discretization and numerical convergence of a nonlinear cross-diffusion population model
-
G. GALIANO, M. L. GARZÒN, AND A. JÜNGEL, Semi-discretization and numerical convergence of a nonlinear cross-diffusion population model, Numer. Math., 93 (2003), pp. 655-673.
-
(2003)
Numer. Math.
, vol.93
, pp. 655-673
-
-
Galiano, G.1
Garzòn, M.L.2
Jüngel, A.3
-
9
-
-
0001404830
-
Global existence for a parabolic chemotaxis model with prevention of overcrowding
-
T. HILLEN AND K. PAINTER, Global existence for a parabolic chemotaxis model with prevention of overcrowding, Adv. in Appl. Math., 26 (2001), pp. 280-301.
-
(2001)
Adv. in Appl. Math.
, vol.26
, pp. 280-301
-
-
Hillen, T.1
Painter, K.2
-
11
-
-
84972554928
-
On the normal form of the symmetric hyperbolic-parabolic systems associated with the conservation laws
-
S. KAWASHIMA AND Y. SHUZITA, On the normal form of the symmetric hyperbolic-parabolic systems associated with the conservation laws, Tohoku Math. J. (2), 40 (1988), pp. 449-464.
-
(1988)
Tohoku Math. J. (2)
, vol.40
, pp. 449-464
-
-
Kawashima, S.1
Shuzita, Y.2
-
12
-
-
0000297309
-
Smooth solutions to a quasi-linear system of diffusion equations for a certain population model
-
J. U. KIM, Smooth solutions to a quasi-linear system of diffusion equations for a certain population model, Nonlinear Anal., 8 (1984), pp. 1121-1144.
-
(1984)
Nonlinear Anal.
, vol.8
, pp. 1121-1144
-
-
Kim, J.U.1
-
14
-
-
0004004657
-
-
Nordhoff, Leyden, The Netherlands
-
A. KUFNER, O. JOHN, AND S. FUČÍK, Function Spaces, Nordhoff, Leyden, The Netherlands, 1977.
-
(1977)
Function Spaces
-
-
Kufner, A.1
John, O.2
Fučík, S.3
-
15
-
-
11144235087
-
Cross-diffusion systems on n spatial dimensional domains
-
Proceedings of the Fifth Mississippi State Conference on Differential Equations and Computational Simulations, Southwest Texas State University, San Marcos, TX
-
D. LE, Cross-diffusion systems on n spatial dimensional domains, in Proceedings of the Fifth Mississippi State Conference on Differential Equations and Computational Simulations, Electron. J. Differ. Equ. Conf. 10, Southwest Texas State University, San Marcos, TX, 2003, pp. 193-210.
-
(2003)
Electron. J. Differ. Equ. Conf.
, vol.10
, pp. 193-210
-
-
Le, D.1
-
16
-
-
0347055376
-
On 3 × 3 Lotka-Volterra competition systems with cross-diffusion
-
Y. LOU, S. MARTÌNEZ, AND W.-M. NI, On 3 × 3 Lotka-Volterra competition systems with cross-diffusion, Discrete Contin. Dynam. Systems, 6 (2000), pp. 175-190.
-
(2000)
Discrete Contin. Dynam. Systems
, vol.6
, pp. 175-190
-
-
Lou, Y.1
Martìnez, S.2
Ni, W.-M.3
-
17
-
-
0030579038
-
Diffusion, self-diffusion and cross-diffusion
-
Y. LOU AND W.-M. NI, Diffusion, self-diffusion and cross-diffusion, J. Differential Equations, 131 (1996), pp. 79-131.
-
(1996)
J. Differential Equations
, vol.131
, pp. 79-131
-
-
Lou, Y.1
Ni, W.-M.2
-
18
-
-
0242608980
-
The global existence of solutions for a cross-diffusion system
-
Y. LOU, W.-M. NI, AND Y. WU, The global existence of solutions for a cross-diffusion system, Adv. in Math. (China), 25 (1996), pp. 283-284.
-
(1996)
Adv. in Math. (China)
, vol.25
, pp. 283-284
-
-
Lou, Y.1
Ni, W.-M.2
Wu, Y.3
-
19
-
-
0344629886
-
Numerical simulation of chemotactic bacteria aggregation via mixed finite elements
-
A. MARROCCO, Numerical simulation of chemotactic bacteria aggregation via mixed finite elements, M2AN Math. Model. Numer. Anal., 37 (2003), pp. 617-630.
-
(2003)
M2AN Math. Model. Numer. Anal.
, vol.37
, pp. 617-630
-
-
Marrocco, A.1
-
20
-
-
0018830043
-
Spatial segregation in competitive interaction-diffusion equations
-
M. MIMURA AND K. KAWASAKI, Spatial segregation in competitive interaction-diffusion equations, J. Math. Biol., 9 (1980), pp. 49-64.
-
(1980)
J. Math. Biol.
, vol.9
, pp. 49-64
-
-
Mimura, M.1
Kawasaki, K.2
-
21
-
-
0001637925
-
Global existence of solutions for a strongly coupled quasilinear parabolic system
-
M. POZIO AND A. TESEI, Global existence of solutions for a strongly coupled quasilinear parabolic system, Nonlinear Anal., 14 (1990), pp. 657-689.
-
(1990)
Nonlinear Anal.
, vol.14
, pp. 657-689
-
-
Pozio, M.1
Tesei, A.2
-
22
-
-
0001294750
-
Existence of the global attractor for a strongly coupled parabolic system arising in population dynamics
-
R. REDLINGER, Existence of the global attractor for a strongly coupled parabolic system arising in population dynamics, J. Differential Equations, 118 (1995), pp. 219-252.
-
(1995)
J. Differential Equations
, vol.118
, pp. 219-252
-
-
Redlinger, R.1
-
23
-
-
0029690507
-
Positive steady-state solutions of a competing reaction-diffusion system with large cross-diffusion coefficients
-
196
-
W. RUAN, Positive steady-state solutions of a competing reaction-diffusion system with large cross-diffusion coefficients, J. Math. Anal. Appl., 197 (196), pp. 558-578.
-
J. Math. Anal. Appl.
, vol.197
, pp. 558-578
-
-
Ruan, W.1
-
24
-
-
0038739385
-
Positive steady-states for two interacting species models with linear self-cross-diffusions
-
K. RYU AND I. AHN, Positive steady-states for two interacting species models with linear self-cross-diffusions, Discrete Contin. Dynam. Systems, 9 (2003), pp. 1049-1081.
-
(2003)
Discrete Contin. Dynam. Systems
, vol.9
, pp. 1049-1081
-
-
Ryu, K.1
Ahn, I.2
-
25
-
-
0018783879
-
Spatial segregation of interacting species
-
N. SHIGESADA, K. KAWASAKI, AND E. TERAMOTO, Spatial segregation of interacting species, J. Theoret. Biol., 79 (1979), pp. 83-99.
-
(1979)
J. Theoret. Biol.
, vol.79
, pp. 83-99
-
-
Shigesada, N.1
Kawasaki, K.2
Teramoto, E.3
-
27
-
-
0038225135
-
Global solutions to some quasilinear parabolic systems in population dynamics
-
Y. WANLI, Global solutions to some quasilinear parabolic systems in population dynamics, J. Partial Differential Equations, 12 (1999), pp. 193-200.
-
(1999)
J. Partial Differential Equations
, vol.12
, pp. 193-200
-
-
Wanli, Y.1
-
28
-
-
0242693061
-
Qualitative studies of solutions for some cross-diffusion systems
-
T.-T. Li, M. Mimura, Y. Nishiura, and Q.-X. Ye, eds., World Scientific, Singapore
-
Y. WU, Qualitative studies of solutions for some cross-diffusion systems, in China-Japan Symposium on Reaction-Diffusion Equations and Their Applications and Computational Aspects, T.-T. Li, M. Mimura, Y. Nishiura, and Q.-X. Ye, eds., World Scientific, Singapore, 1997, pp. 177-187.
-
(1997)
China-Japan Symposium on Reaction-diffusion Equations and their Applications and Computational Aspects
, pp. 177-187
-
-
Wu, Y.1
-
29
-
-
38248999657
-
Global solution to some quasilinear parabolic system in population dynamics
-
A. YAGI, Global solution to some quasilinear parabolic system in population dynamics, Nonlinear Anal., 21 (1993), pp. 603-630.
-
(1993)
Nonlinear Anal.
, vol.21
, pp. 603-630
-
-
Yagi, A.1
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