MR1795975
Ichikawa, Tatsuo and Yamada, Yoshio
Tatsuo ICHIKAWA and Yoshio YAMADA
Some remarks on global solutions to quasilinear parabolic system with cross-diffusion
Funkcialaj Ekvacioj. Serio Internacia
43
2000
285--301
http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol43/fe43-2-6.pdf
http://fe.math.kobe-u.ac.jp/FE/no-infty-pdf.pdf
http://www.ams.org/mathscinet-getitem?mr=MR1795975
43-285
2000
Some Remarks on Global Solutions to Quasilinear Parabolic System with Cross-Diffusion
Tatsuo ICHIKAWA and Yoshio YAMADA
Tatsuo ICHIKAWA and Yoshio YAMADA
1
Deuring, P.
An initial-boundary value problem for a certain density-dependent diffusion system
Math. Z.
194
1987
375-396
MR0879939
2
Friedman, A.
Partial Differential Equations
Robert E. Krieger Publishing Co., New York
1976
MR0454266
3
Kim, J. U.
Smooth solutions to a quasi-linear system of diffusion equations for a certain population model
Nonlinear Anal.
8
1984
1121-1144
MR0763652
4
Lou, Y.; Ni, W-M.
Diffusion, self-diffusion and cross-diffusion
J. Differential Equations
131
1996
79-131
MR1415047
5
Lou, Y.; Ni, W-M.; Wu, Y.
On the global existence of a cross-diffusion system
Discrete Continuous Dynamical Systems
4
1998
193-203
MR1616969
6
Mimura, M.
Stationary pattern of some density-dependent diffusion system with competitive dynamics
Hiroshima Math. J.
11
1981
621-635
MR0635042
7
Okubo, A.
Diffusion and Ecological Problems: Mathematical Models
Biomath., Vol. 10, Springer-Verlag, Berlin-New York
1980
MR0572962
8
Pozio, M. A.; Tesei, A.
Global existence of solutions for a strongly coupled quasi-linear parabolic system
Nonlinear Anal.
14
1990
657-689
MR1049787
9
Redlinger, R.
Existence of the global attractor for a strongly coupled parabolic system arising in population dynamics
J. Differential Equations
118
1995
219-252
MR1330828
10
Shigesada, N.; Kawasaki, K.; Teramoto, E.
Spatial segregation of interacting species
J. Theoret. Biol.
79
1979
83-99
MR0540951
11
Yagi, A.
Global solution to some quasilinear parabolic problem in mathematical biology
"Functional Analysis and Related Topics, 1991", edited by H. Komatsu, Lecture Notes in Math. 1540, Springer-Verlag, New York
1993
389-401
MR1225831
12
Yagi, A.
Global solution to some quasilinear parabolic system in population dynamics
Nonlinear Anal.
21
1993
603-630
MR1245865
13
Yagi, A.
A priori estimates for some quasilinear parabolic system in population dynamics
Kobe J. Math.
14
1997
91-108
MR1612166
14
Yamada, Y.
Global solutions for quasilinear parabolic systems with cross-diffusion effects
Nonlinear Anal.
24
1995
1395-1412
MR1326114