-
1
-
-
84972541997
-
Dynamic theory of quasilinear parabolic equations II. Reaction-diffusion systems
-
H. Amann, Dynamic theory of quasilinear parabolic equations II. Reaction-diffusion systems, Differential Integral Equations 3, 13-75 (1990).
-
(1990)
Differential Integral Equations
, vol.3
, pp. 13-75
-
-
Amann, H.1
-
2
-
-
0001835099
-
Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems
-
edited by Schmeisser and Triebel, Teubner-Texte zur Mathematik Teubner
-
H. Amann, Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems, in: Function Spaces, Differential Operators and Nonlinear Analysis, edited by Schmeisser and Triebel, Teubner-Texte zur Mathematik Vol. 133 (Teubner, 1993), pp. 9-126.
-
(1993)
Function Spaces, Differential Operators and Nonlinear Analysis
, vol.133
, pp. 9-126
-
-
Amann, H.1
-
3
-
-
0004081844
-
-
Abstract Linear Theory Birkḧauser Verlag, Basel - Boston -Berlin
-
H. Amann, Linear and Quasilinear Parabolic Problems, Volume 1, Abstract Linear Theory (Birkḧauser Verlag, Basel - Boston -Berlin, 1995).
-
(1995)
Linear Quasilinear Parabolic Problems
, vol.1
-
-
Amann, H.1
-
4
-
-
11144305807
-
Global regular and singular solutions for a model of gravitating particles
-
P. Biler, M. Cannone, I. Guerra, and G. Karch, Global regular and singular solutions for a model of gravitating particles, Math. Ann. 330, 693-708 (2004).
-
(2004)
Math. Ann.
, vol.330
, pp. 693-708
-
-
Biler, P.1
Cannone, M.2
Guerra, I.3
Karch, G.4
-
5
-
-
21844518574
-
Remarks on the preceding paper by M. Ben-Artzi, "Global solutions of two-dimensional Navier-Stokes and Euler equations"
-
H. Brezis, Remarks on the preceding paper by M. Ben-Artzi, "bal solutions of two-dimensional Navier-Stokes and Euler equations", Arch. Ration. Mech. Anal. 128, 359-360 (1994).
-
(1994)
Arch. Ration. Mech. Anal.
, vol.128
, pp. 359-360
-
-
Brezis, H.1
-
6
-
-
26844499863
-
Global solutions of some chemotaxis and angiogenesis systems in high space dimensions
-
L. Corrias, B. Perthame, and H. Zaag, Global solutions of some chemotaxis and angiogenesis systems in high space dimensions, Milan J. Math. 72, 1-28 (2004).
-
(2004)
Milan J. Math.
, vol.72
, pp. 1-28
-
-
Corrias, L.1
Perthame, B.2
Zaag, H.3
-
7
-
-
0019784884
-
Nonlinear aspects of chemotaxis
-
S. Childress and J. K. Percus, Nonlinear aspects of chemotaxis, Math. Biosci. 56, 217-237 (1981).
-
(1981)
Math. Biosci.
, vol.56
, pp. 217-237
-
-
Childress, S.1
Percus, J.K.2
-
10
-
-
0032154585
-
Self-similar blow-up for a reaction diffusion system
-
M. A. Herrero, E.Medina, and J. J. L. Velázquez, Self-similar blow-up for a reaction diffusion system, J. Comput. Appl. Math. 97, 99-119 (1998).
-
(1998)
J. Comput. Appl. Math.
, vol.97
, pp. 99-119
-
-
Herrero, M.A.1
Medina, E.2
Velázquez, J.J.L.3
-
11
-
-
0039712703
-
Singularity patterns in a chemotaxis model
-
M. A. Herrero and J. L. Velázquez, Singularity patterns in a chemotaxis model, Math. Ann. 36, 583-623 (1996).
-
(1996)
Math. Ann.
, vol.36
, pp. 583-623
-
-
Herrero, M.A.1
Velázquez, J.L.2
-
13
-
-
0030334089
-
Chemotactic collapse for the Keller-Segel model
-
M. A. Herrero and J. L. Velázquez, Chemotactic collapse for the Keller-Segel model, J. Math. Biol. 35, 177-194 (1996).
-
(1996)
J. Math. Biol.
, vol.35
, pp. 177-194
-
-
Herrero, M.A.1
Velázquez, J.L.2
-
14
-
-
4744373150
-
From 1970 until present: the Keller-Segel model in chemotaxis and its consequences, I
-
D. Horstmann, From 1970 until present: the Keller-Segel model in chemotaxis and its consequences, I, Jahresber. Deutsch. Math.-Verein. 105, 103-165 (2003).
-
(2003)
Jahresber. Deutsch. Math.-Verein.
, vol.105
, pp. 103-165
-
-
Horstmann, D.1
-
15
-
-
13844288282
-
From 1970 until present: the Keller-Segel model in chemotaxis and its consequences, II
-
D. Horstmann, From 1970 until present: the Keller-Segel model in chemotaxis and its consequences, II, Jahresber. Deutsch. Math.-Verein. 106, 51-69 (2004).
-
(2004)
Jahresber. Deutsch. Math. -Verein.
, vol.106
, pp. 51-69
-
-
Horstmann, D.1
-
16
-
-
84966208077
-
On explosions of solutions to a system of partial differential equations modelling chemotaxis
-
W. Jäger and S. Luckhaus, On explosions of solutions to a system of partial differential equations modelling chemotaxis, Trans. Amer. Math. Soc. 329, 819-824 (1992).
-
(1992)
Trans. Amer. Math. Soc.
, vol.329
, pp. 819-824
-
-
Jäger, W.1
Luckhaus, S.2
-
17
-
-
0014748565
-
Initiation of slime mold aggregation viewed as an instability
-
E. F. Keller and L. A. Segel, Initiation of slime mold aggregation viewed as an instability, J. Theor. Biol. 26, 399-415 (1970).
-
(1970)
J. Theor. Biol.
, vol.26
, pp. 399-415
-
-
Keller, E.F.1
Segel, L.A.2
-
18
-
-
0032350756
-
1-solutions of the Navier-Stokes equations in exterior domains
-
1-solutions of the Navier-Stokes equations in exterior domains, Math. Ann. 312, 319-340 (1998).
-
(1998)
Math. Ann.
, vol.312
, pp. 319-340
-
-
Kozono, H.1
-
19
-
-
67349285854
-
Global solution to the semi-linear Keller-Segel system of parabolic-parabolic type with small data in scale invariant spaces
-
H. Kozono and Y. Sugiyama, Global solution to the semi-linear Keller-Segel system of parabolic-parabolic type with small data in scale invariant spaces, J. Differential Equations 247, 1-32 (2009).
-
(2009)
J. Differential Equations
, vol.247
, pp. 1-32
-
-
Kozono, H.1
Sugiyama, Y.2
-
20
-
-
34547452103
-
Large time behavior of solutions in super-critical cases to degenerate Keller-Segel systems
-
S. Luckhaus and Y. Sugiyama, Large time behavior of solutions in super-critical cases to degenerate Keller-Segel systems, Indiana Univ. Math. J. 56, 1279-1297 (2007).
-
(2007)
Indiana Univ. Math. J.
, vol.56
, pp. 1279-1297
-
-
Luckhaus, S.1
Sugiyama, Y.2
-
21
-
-
0001932520
-
Self-similar radial solutions to a system of partial differential equations modelling chemotaxis
-
Y.Mizutani and T. Nagai, Self-similar radial solutions to a system of partial differential equations modelling chemotaxis, Kyushu Inst. Tech. Math. Natur. Sci. 42, 19-28 (1995).
-
(1995)
Kyushu Inst. Tech. Math. Natur. Sci.
, vol.42
, pp. 19-28
-
-
Mizutani, Y.1
Nagai, T.2
-
22
-
-
0000719354
-
Self-similar radial solutions to a parabolic system modelling chemotaxis via variational method
-
Y. Mizutani, N. Muramoto, and K. Yoshida, Self-similar radial solutions to a parabolic system modelling chemotaxis via variational method, Hiroshima Math. J. 29, 145-160 (1999).
-
(1999)
Hiroshima Math. J.
, vol.29
, pp. 145-160
-
-
Mizutani, Y.1
Muramoto, N.2
Yoshida, K.3
-
23
-
-
0000911252
-
Blow-up of radially symmetric solutions to a chemotaxis system
-
T. Nagai, Blow-up of radially symmetric solutions to a chemotaxis system, Adv. Math. Sci. Appl. 5, 581-601 (1995).
-
(1995)
Adv. Math. Sci. Appl.
, vol.5
, pp. 581-601
-
-
Nagai, T.1
-
24
-
-
0001205112
-
Application of the Moser-Trudinger inequality to a parabolic system of chemotaxis
-
T. Nagai, T. Senba, and K. Yoshida, Application of the Moser-Trudinger inequality to a parabolic system of chemotaxis, Funkcial. Ekvac. 40, 411-433 (1997).
-
(1997)
Funkcial. Ekvac.
, vol.40
, pp. 411-433
-
-
Nagai, T.1
Senba, T.2
Yoshida, K.3
-
25
-
-
10244221915
-
Behavior of solutions to a parabolic system modeling chemotaxis
-
T. Nagai, Behavior of solutions to a parabolic system modeling chemotaxis, J. Korean Math. Soc. 37, 721-733 (2000).
-
(2000)
J. Korean Math. Soc.
, vol.37
, pp. 721-733
-
-
Nagai, T.1
-
26
-
-
0010786688
-
Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
-
T. Nagai, Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains, J. Inequal. Appl. 6, 37-55 (2001).
-
(2001)
J. Inequal. Appl.
, vol.6
, pp. 37-55
-
-
Nagai, T.1
-
27
-
-
34250194883
-
Blowup behavior of radial solutions to Jäger-Luckhaus system in high dimensional domain
-
T. Senba, Blowup behavior of radial solutions to Jäger-Luckhaus system in high dimensional domain, Fuckcial. Ekvac. 48, 247-271 (2005).
-
(2005)
Fuckcial. Ekvac.
, vol.48
, pp. 247-271
-
-
Senba, T.1
-
28
-
-
0004136765
-
-
Princeton University Press, Princeton, N.J
-
E. M. Stein, Harmonic Analysis (Princeton University Press, Princeton, N.J., 1993).
-
(1993)
Harmonic Analysis
-
-
Stein, E.M.1
-
29
-
-
33646542023
-
Global existence and decay properties for a degenerate Keller-Segel model with a power factor in drift term
-
Y. Sugiyama and H. Kunii, Global existence and decay properties for a degenerate Keller-Segel model with a power factor in drift term, J. Differential Equations 227, 333-364 (2006).
-
(2006)
J. Differential Equations
, vol.227
, pp. 333-364
-
-
Sugiyama, Y.1
Kunii, H.2
-
30
-
-
34547463400
-
Time global existence and asymptotic behavior of solutions to degenerate quasi-linear parabolic systems of chemotaxis
-
Y. Sugiyama, Time global existence and asymptotic behavior of solutions to degenerate quasi-linear parabolic systems of chemotaxis, Differential Integral Equations 20, 133-180 (2007).
-
(2007)
Differential Integral Equations
, vol.20
, pp. 133-180
-
-
Sugiyama, Y.1
-
32
-
-
0001488448
-
Norm behavior of solutions to a parabolic system of chemotaxis
-
A. Yagi, Norm behavior of solutions to a parabolic system of chemotaxis, Math. Japonica 45, 241-265 (1997).
-
(1997)
Math. Japonica
, vol.45
, pp. 241-265
-
-
Yagi, A.1
|