-
1
-
-
0001835099
-
Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems
-
Function Spaces, Differential Operators and Nonlinear Analysis. Schmeisser H., and Triebel H. (Eds)
-
Amann H. Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems. In: Schmeisser H., and Triebel H. (Eds). Function Spaces, Differential Operators and Nonlinear Analysis. Teubner-Texte Math. vol. 133 (1993) 9-126
-
(1993)
Teubner-Texte Math.
, vol.133
, pp. 9-126
-
-
Amann, H.1
-
2
-
-
0141720092
-
Flow invariance for perturbed nonlinear evolution equations
-
Bothe D. Flow invariance for perturbed nonlinear evolution equations. Abstr. Appl. Anal. 1 (1996) 417-433
-
(1996)
Abstr. Appl. Anal.
, vol.1
, pp. 417-433
-
-
Bothe, D.1
-
3
-
-
66049113392
-
The instantaneous limit of a reaction-diffusion system
-
Evolution Equations and Their Applications in Physical and Life Sciences (Bad Herrenalb, 1998), Dekker, New York
-
Bothe D. The instantaneous limit of a reaction-diffusion system. Evolution Equations and Their Applications in Physical and Life Sciences (Bad Herrenalb, 1998). Lecture Notes in Pure and Appl. Math. vol. 215 (2001), Dekker, New York 215-224
-
(2001)
Lecture Notes in Pure and Appl. Math.
, vol.215
, pp. 215-224
-
-
Bothe, D.1
-
4
-
-
0142087796
-
A reaction-diffusion system with fast reversible reaction
-
Bothe D., and Hilhorst D. A reaction-diffusion system with fast reversible reaction. J. Math. Anal. Appl. 286 (2003) 125-135
-
(2003)
J. Math. Anal. Appl.
, vol.286
, pp. 125-135
-
-
Bothe, D.1
Hilhorst, D.2
-
6
-
-
42149139293
-
On long-time dynamics for competition-diffusion systems with inhomogeneous Dirichlet boundary conditions
-
Crooks E.C.M., Dancer E.N., and Hilhorst D. On long-time dynamics for competition-diffusion systems with inhomogeneous Dirichlet boundary conditions. Topol. Methods Nonlinear Anal. 30 (2007) 1-36
-
(2007)
Topol. Methods Nonlinear Anal.
, vol.30
, pp. 1-36
-
-
Crooks, E.C.M.1
Dancer, E.N.2
Hilhorst, D.3
-
7
-
-
3042695412
-
Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions
-
Crooks E.C.M., Dancer E.N., Hilhorst D., Mimura M., and Ninomiya H. Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions. Nonlinear Anal. Real World Appl. 5 (2004) 645-665
-
(2004)
Nonlinear Anal. Real World Appl.
, vol.5
, pp. 645-665
-
-
Crooks, E.C.M.1
Dancer, E.N.2
Hilhorst, D.3
Mimura, M.4
Ninomiya, H.5
-
8
-
-
0038446673
-
Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion
-
Choi Y.S., Lui R., and Yamada Y. Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion. Discrete Contin. Dynam. Systems 9 (2003) 1193-1200
-
(2003)
Discrete Contin. Dynam. Systems
, vol.9
, pp. 1193-1200
-
-
Choi, Y.S.1
Lui, R.2
Yamada, Y.3
-
10
-
-
0002449197
-
Continuity of weak solutions to a general porous medium equation
-
DiBenedetto E. Continuity of weak solutions to a general porous medium equation. Indiana Univ. Math. J. 32 (1983) 83-118
-
(1983)
Indiana Univ. Math. J.
, vol.32
, pp. 83-118
-
-
DiBenedetto, E.1
-
11
-
-
0001282108
-
Effect of domain-shape on coexistence problems in a competition-diffusion system
-
Ei S.I., Fang Q., and Mimura M. Effect of domain-shape on coexistence problems in a competition-diffusion system. J. Math. Biol. 29 (1991) 219-237
-
(1991)
J. Math. Biol.
, vol.29
, pp. 219-237
-
-
Ei, S.I.1
Fang, Q.2
Mimura, M.3
-
12
-
-
0028517768
-
Dynamics of interfaces in competition-diffusion systems
-
Ei S.I., and Yanagida E. Dynamics of interfaces in competition-diffusion systems. SIAM J. Appl. Math. 54 (1994) 1355-1373
-
(1994)
SIAM J. Appl. Math.
, vol.54
, pp. 1355-1373
-
-
Ei, S.I.1
Yanagida, E.2
-
13
-
-
0142014511
-
A reaction-diffusion system approximation of a one-phase Stefan problem
-
Menaldi J.L., Rofman E., and Sulem A. (Eds), IOS Press Amsterdam, Berlin, Oxford, Tokyo, Washington DC
-
Eymard R., Hilhorst D., van der Hout R., and Peletier L.A. A reaction-diffusion system approximation of a one-phase Stefan problem. In: Menaldi J.L., Rofman E., and Sulem A. (Eds). Optimal Control and Partial Differential Equations (2001), IOS Press Amsterdam, Berlin, Oxford, Tokyo, Washington DC 156-170
-
(2001)
Optimal Control and Partial Differential Equations
, pp. 156-170
-
-
Eymard, R.1
Hilhorst, D.2
van der Hout, R.3
Peletier, L.A.4
-
14
-
-
0037408887
-
Vanishing latent heat limit in a Stefan-like problem arising in biology
-
Hilhorst D., Mimura M., and Schätzle R. Vanishing latent heat limit in a Stefan-like problem arising in biology. Nonlinear Anal. Real World Appl. 4 (2003) 261-285
-
(2003)
Nonlinear Anal. Real World Appl.
, vol.4
, pp. 261-285
-
-
Hilhorst, D.1
Mimura, M.2
Schätzle, R.3
-
16
-
-
0000288210
-
Diffusion in the presence of fast reaction: The case of a general monotone reaction term
-
Hilhorst D., van der Hout R., and Peletier L.A. Diffusion in the presence of fast reaction: The case of a general monotone reaction term. J. Math. Sci. Univ. Tokyo 4 (1997) 469-517
-
(1997)
J. Math. Sci. Univ. Tokyo
, vol.4
, pp. 469-517
-
-
Hilhorst, D.1
van der Hout, R.2
Peletier, L.A.3
-
18
-
-
0004530578
-
A competition-diffusion system approximation to the classical two-phase Stefan problem
-
Hilhorst D., Iida M., Mimura M., and Ninomiya H. A competition-diffusion system approximation to the classical two-phase Stefan problem. Japan J. Ind. Appl. Math. 18 (2001) 161-180
-
(2001)
Japan J. Ind. Appl. Math.
, vol.18
, pp. 161-180
-
-
Hilhorst, D.1
Iida, M.2
Mimura, M.3
Ninomiya, H.4
-
20
-
-
0346596540
-
Differential equations and convergence almost everywhere of strongly monotone semiflows
-
University of California, Berkeley
-
M.W. Hirsch, Differential equations and convergence almost everywhere of strongly monotone semiflows, PAM Technical Report, University of California, Berkeley, 1982
-
(1982)
PAM Technical Report
-
-
Hirsch, M.W.1
-
21
-
-
19544371963
-
How do cross-migration models arise?
-
Huang Y. How do cross-migration models arise?. Mathematical Biosciences 195 (2005) 127-140
-
(2005)
Mathematical Biosciences
, vol.195
, pp. 127-140
-
-
Huang, Y.1
-
22
-
-
33748329736
-
A reaction-diffusion approximation to a cross-diffusion system
-
Chipot M., and Ninomiya H. (Eds), World Scientific
-
Iida M., and Ninomiya H. A reaction-diffusion approximation to a cross-diffusion system. In: Chipot M., and Ninomiya H. (Eds). Recent Advances on Elliptic and Parabolic Issues (2006), World Scientific 145-164
-
(2006)
Recent Advances on Elliptic and Parabolic Issues
, pp. 145-164
-
-
Iida, M.1
Ninomiya, H.2
-
23
-
-
33748291529
-
Diffusion cross-diffusion and competitive interaction
-
Iida M., Mimura M., and Ninomiya H. Diffusion cross-diffusion and competitive interaction. J. Math. Biol. 53 4 (2006) 617-641
-
(2006)
J. Math. Biol.
, vol.53
, Issue.4
, pp. 617-641
-
-
Iida, M.1
Mimura, M.2
Ninomiya, H.3
-
24
-
-
85083150465
-
A numerical methodology for a singular limit problem
-
Ikota R., Mimura M., and Nakaki T. A numerical methodology for a singular limit problem. RIMS Kokyuroku 146 (2005) 134-147
-
(2005)
RIMS Kokyuroku
, vol.146
, pp. 134-147
-
-
Ikota, R.1
Mimura, M.2
Nakaki, T.3
-
25
-
-
84972514721
-
Stability of singularly perturbed solutions to nonlinear diffusion systems arising in population dynamics
-
Kan-on Y. Stability of singularly perturbed solutions to nonlinear diffusion systems arising in population dynamics. Hiroshima Math. J. 23 (1993) 509-536
-
(1993)
Hiroshima Math. J.
, vol.23
, pp. 509-536
-
-
Kan-on, Y.1
-
26
-
-
21844508986
-
Parameter dependence of propagation speed of travelling waves for competition-diffusion equations
-
Kan-on Y. Parameter dependence of propagation speed of travelling waves for competition-diffusion equations. SIAM J. Math. Anal. 26 (1995) 340-363
-
(1995)
SIAM J. Math. Anal.
, vol.26
, pp. 340-363
-
-
Kan-on, Y.1
-
27
-
-
66049147937
-
Segregation structures of competing species mediated by a diffusive predator
-
Mathematical Topics in Population Biology Morphogenesis and Neurosciences
-
Kan-on Y., and Mimura M. Segregation structures of competing species mediated by a diffusive predator. Mathematical Topics in Population Biology Morphogenesis and Neurosciences. Lecture Notes in Biomath. vol. 71 (1985) 123-133
-
(1985)
Lecture Notes in Biomath.
, vol.71
, pp. 123-133
-
-
Kan-on, Y.1
Mimura, M.2
-
28
-
-
0023504111
-
Swarms of predators exhibit "preytaxis" if individual predator use area-restricted search
-
Kareiva P., and Odell G. Swarms of predators exhibit "preytaxis" if individual predator use area-restricted search. Amer. Natur. 130 (1987) 233-270
-
(1987)
Amer. Natur.
, vol.130
, pp. 233-270
-
-
Kareiva, P.1
Odell, G.2
-
29
-
-
0347056231
-
Numerical solutions of a two-phase Stefan problem
-
Kawarada H., and Natori M. Numerical solutions of a two-phase Stefan problem. Theoret. Appl. Mech. 23 (1975) 511-516
-
(1975)
Theoret. Appl. Mech.
, vol.23
, pp. 511-516
-
-
Kawarada, H.1
Natori, M.2
-
31
-
-
0003045121
-
The spatial homogeneity of stable equilibria of some reaction-diffusion system on convex domains
-
Kishimoto K., and Weinberger H.F. The spatial homogeneity of stable equilibria of some reaction-diffusion system on convex domains. J. Differential Equations 58 (1985) 15-21
-
(1985)
J. Differential Equations
, vol.58
, pp. 15-21
-
-
Kishimoto, K.1
Weinberger, H.F.2
-
32
-
-
0033130048
-
Diffusion vs cross-diffusion: An elliptic approach
-
Lou Y., and Ni W.-M. Diffusion vs cross-diffusion: An elliptic approach. J. Differential Equations 154 (1999) 157-190
-
(1999)
J. Differential Equations
, vol.154
, pp. 157-190
-
-
Lou, Y.1
Ni, W.-M.2
-
33
-
-
2142640773
-
On a limiting system in the Lotka-Volterra competition with cross-diffusion
-
Lou Y., Ni W.-M., and Yotsutani S. On a limiting system in the Lotka-Volterra competition with cross-diffusion. Discrete Contin. Dynam. Systems 10 (2004) 435-458
-
(2004)
Discrete Contin. Dynam. Systems
, vol.10
, pp. 435-458
-
-
Lou, Y.1
Ni, W.-M.2
Yotsutani, S.3
-
34
-
-
0032388194
-
On the global existence of a cross-diffusion system
-
Lou Y., Ni W.-M., and Wu Y. On the global existence of a cross-diffusion system. Discrete Contin. Dynam. Systems 4 (1998) 193-203
-
(1998)
Discrete Contin. Dynam. Systems
, vol.4
, pp. 193-203
-
-
Lou, Y.1
Ni, W.-M.2
Wu, Y.3
-
35
-
-
84998211051
-
Pattern formation in competition-diffusion systems in nonconvex domains
-
Matano H., and Mimura M. Pattern formation in competition-diffusion systems in nonconvex domains. Publ. Res. Inst. Math. Sci. Kyoto Univ. 19 (1983) 1049-1079
-
(1983)
Publ. Res. Inst. Math. Sci. Kyoto Univ.
, vol.19
, pp. 1049-1079
-
-
Matano, H.1
Mimura, M.2
-
36
-
-
0018830043
-
Spatial segregation in competitive interaction-diffusion equations
-
Mimura M., and Kawasaki K. Spatial segregation in competitive interaction-diffusion equations. J. Math. Biol. 9 (1980) 49-64
-
(1980)
J. Math. Biol.
, vol.9
, pp. 49-64
-
-
Mimura, M.1
Kawasaki, K.2
-
37
-
-
84972584509
-
Coexistence problem for two competing species models with density-dependent diffusion
-
Mimura M., Nishiura Y., Tesei A., and Tsujikawa T. Coexistence problem for two competing species models with density-dependent diffusion. Hiroshima Math. J. 14 (1984) 425-449
-
(1984)
Hiroshima Math. J.
, vol.14
, pp. 425-449
-
-
Mimura, M.1
Nishiura, Y.2
Tesei, A.3
Tsujikawa, T.4
-
38
-
-
0030243891
-
Aggregating pattern dynamics in a chemotaxis-model including growth
-
Mimura M., and Tsujikawa T. Aggregating pattern dynamics in a chemotaxis-model including growth. Physica A 230 (1996) 499-543
-
(1996)
Physica A
, vol.230
, pp. 499-543
-
-
Mimura, M.1
Tsujikawa, T.2
-
40
-
-
84972554209
-
Stability analysis for free boundary problems in ecology
-
Mimura M., Yamada Y., and Yotsutani S. Stability analysis for free boundary problems in ecology. Hiroshima Math. J. 16 (1986) 477-498
-
(1986)
Hiroshima Math. J.
, vol.16
, pp. 477-498
-
-
Mimura, M.1
Yamada, Y.2
Yotsutani, S.3
-
41
-
-
51349134540
-
A regularization of a reaction-diffusion system approximation to the two phase Stefan problem
-
Murakawa H. A regularization of a reaction-diffusion system approximation to the two phase Stefan problem. Nonlinear Anal. TMA 69 (2008) 3512-3524
-
(2008)
Nonlinear Anal. TMA
, vol.69
, pp. 3512-3524
-
-
Murakawa, H.1
-
42
-
-
51349116743
-
Reaction-diffusion system approximation to degenerate parabolic systems
-
Murakawa H. Reaction-diffusion system approximation to degenerate parabolic systems. Nonlinearity 20 (2007) 2319-2332
-
(2007)
Nonlinearity
, vol.20
, pp. 2319-2332
-
-
Murakawa, H.1
-
43
-
-
85083141877
-
-
Springer-Verlag
-
Okubo A. Diffusion and Ecological Problems: Mathematical Models. Biomathematics vol. 10 (1980), Springer-Verlag
-
(1980)
Biomathematics
, vol.10
-
-
Okubo, A.1
-
46
-
-
0002011401
-
The chemical basis of morphogenesis
-
Turing A.M. The chemical basis of morphogenesis. Phil. Trans. Roy. Soc. London B237 (1952) 37-72
-
(1952)
Phil. Trans. Roy. Soc. London
, vol.B237
, pp. 37-72
-
-
Turing, A.M.1
|