MR1433906
Anada, Kouichi and Fukuda, Isamu and Tsutsumi, Masayoshi
Kouichi ANADA, Isamu FUKUDA and Masayoshi TSUTSUMI
Regional blow-up and decay of solutions to the initial boundary value problem for {$u\sb t=uu\sb {xx}-\gamma(u\sb x)\sp 2+ku\sp 2$}
Funkcialaj Ekvacioj. Serio Internacia
39
1996
363--387
http://fe.math.kobe-u.ac.jp/FE/Free/vol39/fe39-3-1.pdf
http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE35-40-en_KML/fe39-363-387/fe39-363-387.pdf
http://www.ams.org/mathscinet-getitem?mr=MR1433906
fe39-363-387
1996
Regional Blow-up and Decay of Solutions to the Initial-Boundary Value Problem for $u_t=uu_{xx}-\gamma(u_x)^2+ku^2$
ANADA, Kouichi
ANADA, Kouichi
1
Anada, K.; Fukuda, I.; Tsutsumi, M., Local existence and uniqueness of viscosity solutions for $u_t=u\Delta u-\gamma|\nabla u|^{2}+f(t,u)$, preprint
MR1454657
73
Cache/An/Anada,uniqueness,*,1991,2001
2
Angenent, S.
On the formation of singularities in the curve shortening flow
J. Diff. Geometry
33
1991
601-633
MR1100205
100
Cache/An/Angenent,singularities,J*,1991,1992
3
Aronson, D. G.
Regularity properties of flows through porous media; the intefface
Arch. Rational Mech. Anal.
37
1970
1-10
MR0255996
77
Cache/Ar/Aronson,Regularity,Arch*,1970,1971
4
Aronson, D. G.
The porous medium equation
in Some Problems in Nonlinear Diffusion (A. Fasano and M. Primiceris, eds), Lecture Notes in Math. 1224, Springer-Verlag
1986
Cache/Ar/Aronson,porous,*,1986,1987
MR0877986
1-46
5
Bertsch, M.; Dal Passo, R.; Ughi, M.
Nonuniqueness of solutions of a degenerate parabolic equation
Ann. Mat. Pura Appl. (IV)
IV
161
1992
57-81
MR1174811
100
Cache/Be/Bertsch,Nonuniqueness,Ann*,1992,1993
6
Bertsch, M.; Dal Passo, R.; Ughi, M.
Discontinuous "viscosity" solutions of a degenerate parabolic equation
Trans. Amer. Math. Soc.
320
1990
779-798
MR0965742
100
Cache/Be/Bertsch,Discontinuous,Trans*,1990,1991
7
Bertsch, M.; Ughi, M.
Positivity properties of viscosity solutions of a degenerate parabolic equatio
Nonlinear Anal.
14
1990
571-592
MR1044287
90
Cache/Be/Bertsch,Positivity,Nonlinear*,1990,1991
8
Fujita, H.
On some nonexistence and nonuniqueness theorems for nonlinear parabolic equations
in Proc. Symp. in Pure Math. 18 American Mathematical Society, Providence, Rhode Island
1970
105-113
MR0269995
Cache/Fu/Fujita,nonuniqueness,in*,1970,1971
9
Fukuda, I.; Ishii, H.; Tsutsumi, M.
Uniqueness of solutions to the Cauchy problem for $u_t-u\Delta u+\gamma|\nabla u|^2=0$
Differential Integral Equations
6
1993
1231-1252
MR1235190
73
Cache/Fu/Fukuda,Uniqueness,Differential*,1993,1994
10
Fukuda, I.; Tsutsumi, M.
The initial-boundary value problem for a nonlinear degenerate parabolic equation
Nonlinear Anal.
16
1991
997-1009
MR1106999
100
Cache/Fu/Fukuda,initial-boundary,Nonlinear*,1991,1992
11
Friedman, A.; McLeod, J. B.
Blow-up of solutions of semilinear heat equations
Indiana Univ. Math.
34
1985
425-447
MR0783924
87
Cache/Fr/Friedman,semilinear,Indiana*,1985,1986
12
Friedman, A.; McLeod, J. B.
Blow-up of solutions of nonlinear degenerate parabolic equations
Arch. Rational Mech. Anal.
96
1986
55-80
MR0853975
Cache/Fr/Friedman,degenerate,Arch*,1987,1988
13
Gage, M. E.
On the size of the blow-up set for a quasilinear parabolic equation
Contemporary Mathematics
127
1992
41-58
MR1155408
Cache/Ga/Gage,quasilinear,Contemporary*,1992,1993
14
Kaji, Y.; Tsutsumi, M., Numerical approximations for a nonlinear degenerate parabolic equation, preprint
MR1024907
Cache/Ka/Kaji,approximations,*,1991,2001
15
Kaplan, S.
On the growth of solutions of quasi-linear parabolic equations
Comm. Pure Appl. Math.
16
1963
305-330
MR0160044
Cache/Ka/Kaplan,quasilinear,Comm*,1963,1964
16
Qi, Y. W.
The global feature of unbounded solutions to a nonlinear parabolic equation
J. Differential Equations
99
1992
139-152
MR1178400
100
Cache/Qi/Qi,unbounded,J*,1992,1993
17
Weissler, F. B.
Single point blow up of semilinear initial value problems
J. Differential Equations
55
1984
204-224
MR0764124
77
Cache/We/Weissler,semilinear,J*,1984,1985