-
1
-
-
0002401281
-
Comparison results for elliptic and parabolic equations via Schwarz symmetrization
-
A. Alvino, A.G. Trombetti, and P.L. Lions, Comparison results for elliptic and parabolic equations via Schwarz symmetrization, Ann. Inst. Henri Poincaré Analyse nonlin éaire, Vol. 7 (1990), 37-65.
-
(1990)
Ann. Inst. Henri Poincaré Analyse nonlin éaire
, vol.7
, pp. 37-65
-
-
Alvino, A.1
Trombetti, A.G.2
Lions, P.L.3
-
2
-
-
0003131889
-
Local behavior of solutions of quasilinear parabolic equations
-
D.G. Aronson and J. Serrin, Local behavior of solutions of quasilinear parabolic equations, Arch. Rational Mach. Anal. Vol. 25 (1967), 81-122.
-
(1967)
Arch. Rational Mach. Anal.
, vol.25
, pp. 81-122
-
-
Aronson, D.G.1
Serrin, J.2
-
3
-
-
0000461632
-
Meilleures constantes dans la théorème d'inclusion de Sobolev et un théorème de Fredholm non lineaire par la transformation conforme de courlure scalaire
-
T. Aubin, Meilleures constantes dans la théorème d'inclusion de Sobolev et un théorème de Fredholm non lineaire par la transformation conforme de courlure scalaire, J. Funct. Anal. Vol. 32 (1979), 148-174.
-
(1979)
J. Funct. Anal.
, vol.32
, pp. 148-174
-
-
Aubin, T.1
-
5
-
-
0000657461
-
Local, and global solvability of some parabolic systems modelling chemotaxis
-
P. Biler, Local, and global solvability of some parabolic systems modelling chemotaxis, Adv. Math. Sci. Appl. Vol. 8 (1998), 715-743.
-
(1998)
Adv. Math. Sci. Appl.
, vol.8
, pp. 715-743
-
-
Biler, P.1
-
7
-
-
34250107708
-
Prescribing Gaussian curvature on S2
-
S.Y.A. Chang, and P.C. Yang, Prescribing Gaussian curvature on S2, Acta Math. Vol. 159 (1987), 215-259.
-
(1987)
Acta Math.
, vol.159
, pp. 215-259
-
-
Chang, S.Y.A.1
Yang, P.C.2
-
8
-
-
84972492777
-
Conformal deformation of metrics on S2
-
S.Y.A. Chang, and P.C. Yang, Conformal deformation of metrics on S2, J. Differential Geometry Vol. 27 (1988), 259-296.
-
(1988)
J. Differential Geometry
, vol.27
, pp. 259-296
-
-
Chang, S.Y.A.1
Yang, P.C.2
-
9
-
-
0002166459
-
Chemotactic collapse in two dimensions
-
Springer, Berlin
-
S. Childress, Chemotactic collapse in two dimensions, Lecture Notes in Biomath. Vol. 55, pp. 61-66, Springer, Berlin, 1984.
-
(1984)
Lecture Notes in Biomath.
, vol.55
, pp. 61-66
-
-
Childress, S.1
-
10
-
-
0019784884
-
Nonlinear aspects of chemotaxis
-
S. Childress, and J.K. Percus, Nonlinear aspects of chemotaxis, Math. Biosci. Vol. 56 (1981), 217-237.
-
(1981)
Math. Biosci.
, vol.56
, pp. 217-237
-
-
Childress, S.1
Percus, J.K.2
-
11
-
-
0003653464
-
Nonlinear Partial Differential Equations, and Free Boundaries, Vol. 1. Elliptic Equations Equations
-
Pitman, London
-
J.I. Diaz, "Nonlinear Partial Differential Equations, and Free Boundaries, Vol. 1. Elliptic Equations," Research Notes in Math. Vol. 106, Pitman, London, 1985.
-
(1985)
Research Notes in Math.
, vol.106
-
-
Diaz, J.I.1
-
12
-
-
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. Vol. 195 (1998), 77-114.
-
(1998)
Math. Nachr.
, vol.195
, pp. 77-114
-
-
Gajewski, H.1
Zacharias, K.2
-
13
-
-
0039712703
-
Singularity patterns in a chemotaxis model
-
M.A. Herrero, and J.J.L. Velázquez, Singularity patterns in a chemotaxis model, Math. Ann. Vol. 306 (1996), 583-623.
-
(1996)
Math. Ann.
, vol.306
, pp. 583-623
-
-
Herrero, M.A.1
Velázquez, J.J.L.2
-
15
-
-
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. Vol. 329 (1992), 819-824.
-
(1992)
Trans. Amer. Math. Soc.
, vol.329
, pp. 819-824
-
-
Jäger, W.1
Luckhaus, S.2
-
16
-
-
0014748565
-
Initiation on slime mold aggregation viewed as an instability
-
E.F. Keller, and L.A. Segel, Initiation on slime mold aggregation viewed as an instability, J. Theor. Biol. Vol. 26 (1970), 399-415.
-
(1970)
J. Theor. Biol.
, vol.26
, pp. 399-415
-
-
Keller, E.F.1
Segel, L.A.2
-
17
-
-
0003690985
-
Linear, and Quasi-linear Equations of Parabolic Type
-
Nauka, Moscow, 1967, Providence, R. I.
-
O.A. Ladyzhenskaya, V.A. Solonnikov,, and N.N. Uralt'seva, "Linear, and Quasi-linear Equations of Parabolic Type," Nauka, Moscow, 1967: English translation: Amer. Math. Soc., Providence, R. I., 1968.
-
(1968)
English translation: Amer. Math. Soc.
-
-
Ladyzhenskaya, O.A.1
Solonnikov, V.A.2
Uralt'seva, N.N.3
-
19
-
-
0002199010
-
Isoperimetric inequalities in parabolic equations
-
J. Mossino, and J.M. Rakotoson, Isoperimetric inequalities in parabolic equations, Ann. Scuola Norm. Sup. Pisa IV. Vol. 13 (1986), 51-73.
-
(1986)
Ann. Scuola Norm. Sup. Pisa
, vol.4-13
, pp. 51-73
-
-
Mossino, J.1
Rakotoson, J.M.2
-
20
-
-
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. Vol. 5 (1995), 581-601.
-
(1995)
Adv. Math. Sci. Appl.
, vol.5
, pp. 581-601
-
-
Nagai, T.1
-
21
-
-
84894513954
-
Blowup of nonradial solutions to a parabolic-elliptic system modelling chemotaxis in two-dimensional domains
-
to appear
-
T. Nagai, Blowup of nonradial solutions to a parabolic-elliptic system modelling chemotaxis in two-dimensional domains, J. Inequal. Appl., to appear.
-
J. Inequal. Appl.
-
-
Nagai, T.1
-
22
-
-
84894458248
-
Concentration behavior of blowup solutions for a simplified system of chemotaxis
-
preprint
-
T. Nagai, T. Senba, and T. Suzuki, Concentration behavior of blowup solutions for a simplified system of chemotaxis, preprint.
-
-
-
Nagai, T.1
Senba, T.2
Suzuki, T.3
-
23
-
-
0000687738
-
Chemotactic collpase in a parabolic system of chemotaxis
-
T. Nagai, T. Senba, and T. Suzuki, Chemotactic collpase in a parabolic system of chemotaxis, Hiroshima Math. J., 30 (2000), 463-497.
-
(2000)
Hiroshima Math. J.,
, vol.30
, pp. 463-497
-
-
Nagai, T.1
Senba, T.2
Suzuki, T.3
-
24
-
-
0001205112
-
Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis
-
T. Nagai, T. Senba, and K. Yoshida, Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis, Funkcialaj. Ekvacioj. Vol. 40 (1997), 411-433.
-
(1997)
Funkcialaj. Ekvacioj.
, vol.40
, pp. 411-433
-
-
Nagai, T.1
Senba, T.2
Yoshida, K.3
-
25
-
-
0001544447
-
Some structures of the solution set for a stationary system of chemotaxis
-
T. Senba, and T. Suzuki, Some structures of the solution set for a stationary system of chemotaxis, Adv. Math. Sci. Appl. Vol. 10 (2000), 191-224.
-
(2000)
Adv. Math. Sci. Appl.
, vol.10
, pp. 191-224
-
-
Senba, T.1
Suzuki, T.2
-
26
-
-
0002819277
-
Chemotactic collapse in a parabolic-elliptic system of mathematical biology
-
T. Senba, and T. Suzuki, Chemotactic collapse in a parabolic-elliptic system of mathematical biology, Advances in Differential Equations, 6 (2001), 21-50.
-
(2001)
Advances in Differential Equations,
, vol.6
, pp. 21-50
-
-
Senba, T.1
Suzuki, T.2
-
27
-
-
0041437511
-
Local, and norm behavior of blow up solutions to a parabolic system of chemotaxis
-
T. Senba, and T. Suzuki, Local, and norm behavior of blow up solutions to a parabolic system of chemotaxis, J. Korean Math. Soc., 37 (2000), 929-942.
-
(2000)
J. Korean Math. Soc.
, vol.37
, pp. 929-942
-
-
Senba, T.1
Suzuki, T.2
-
29
-
-
23044518452
-
A note on the stability of stationary solutions to a parabolic system of chemotaxis
-
T. Suzuki, A note on the stability of stationary solutions to a parabolic system of chemotaxis, Communications in Contemporary Mathematics Vol. 2 (2000), 373-383.
-
(2000)
Communications in Contemporary Mathematics
, vol.2
, pp. 373-383
-
-
Suzuki, T.1
-
30
-
-
84981749879
-
Pointwise estimates, and quasilinear parabolic equations
-
N.S. Trudinger, Pointwise estimates, and quasilinear parabolic equations, Comm. Pure Appl. Math. Vol. 21 (1968), 205-226.
-
(1968)
Comm. Pure Appl. Math.
, vol.21
, pp. 205-226
-
-
Trudinger, N.S.1
-
31
-
-
0041294152
-
Comparison results for solutions of parabolic equations
-
R. Volpicelli, Comparison results for solutions of parabolic equations, Ricerche Mat. Vol. 42 (1993), 179-192.
-
(1993)
Ricerche Mat.
, vol.42
, pp. 179-192
-
-
Volpicelli, R.1
-
32
-
-
0001488448
-
Norm behavior of solutions to the parabolic system of chemotaxis
-
A. Yagi, Norm behavior of solutions to the parabolic system of chemotaxis, Math. Japonica, Vol. 45 (1997), 241-265.
-
(1997)
Math. Japonica
, vol.45
, pp. 241-265
-
-
Yagi, A.1
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