-
1
-
-
0040940680
-
Self-similar heat structures with reduced half width
-
Ad'yutov, M. M., Klokov, Yu. A., and Mikhailov, A. P., Self-similar heat structures with reduced half width, Differentsial'nye Uravneniya 19, 1983, pp. 1107-1114; English translation: Differential Equations 19, 1983, pp. 809-815.
-
(1983)
Differentsial'nye Uravneniya
, vol.19
, pp. 1107-1114
-
-
Ad'yutov, M.M.1
Klokov, Yu.A.2
Mikhailov, A.P.3
-
2
-
-
0013063095
-
-
Ad'yutov, M. M., Klokov, Yu. A., and Mikhailov, A. P., Self-similar heat structures with reduced half width, Differentsial'nye Uravneniya 19, 1983, pp. 1107-1114; English translation: Differential Equations 19, 1983, pp. 809-815.
-
(1983)
Differential Equations
, vol.19
, pp. 809-815
-
-
-
3
-
-
0000147123
-
Mean curvature flow through singularities for surfaces of rotation
-
Altschuler, S., Angenent, S., and Giga, Y., Mean curvature flow through singularities for surfaces of rotation, J. Geom. Anal. 5(3), 1995, pp. 293-358.
-
(1995)
J. Geom. Anal.
, vol.5
, Issue.3
, pp. 293-358
-
-
Altschuler, S.1
Angenent, S.2
Giga, Y.3
-
4
-
-
0001590177
-
max for the solution of a semilinear heat equation
-
max for the solution of a semilinear heat equation, J. Funct. Anal. 71, 1987, pp. 142-174.
-
(1987)
J. Funct. Anal.
, vol.71
, pp. 142-174
-
-
Baras, P.1
Cohen, L.2
-
5
-
-
0003329717
-
Mathematical Problems from Combustion Theory
-
Springer-Verlag, New York
-
Bebernes, J., and Eberly, D., Mathematical Problems from Combustion Theory, Applied Mathematical Sciences No. 83, Springer-Verlag, New York, 1989.
-
(1989)
Applied Mathematical Sciences No. 83
, vol.83
-
-
Bebernes, J.1
Eberly, D.2
-
7
-
-
0003282411
-
Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert
-
North-Holland, Amsterdam-London; American Elsevier, New York
-
Brezis, H., Opérateurs Maximaux Monotones et Semi-Groupes de Contractions dans les Espaces de Hilbert, North-Holland Mathematics Studies No. 5, North-Holland, Amsterdam-London; American Elsevier, New York, 1973.
-
(1973)
North-Holland Mathematics Studies No. 5
, vol.5
-
-
Brezis, H.1
-
8
-
-
0004116801
-
Theory of Laminar Flames
-
Cambridge University Press, Cambridge-New York
-
Buckmaster, J. D., and Ludford, G. S. S., Theory of Laminar Flames, Cambridge Monographs on Mechanics and Applied Mathematics, Cambridge University Press, Cambridge-New York, 1982.
-
(1982)
Cambridge Monographs on Mechanics and Applied Mathematics
-
-
Buckmaster, J.D.1
Ludford, G.S.S.2
-
9
-
-
0000853180
-
An introduction to evolution governed by accretive operators
-
I. L. Cesary et al., eds., Academic Press, New York
-
Crandall, M. G., An introduction to evolution governed by accretive operators, pp. 131-165 in: Dynamical Systems (Proc. Internat. Sympos., Brown Univ., Providence, R.I., 1974), I. L. Cesary et al., eds., Academic Press, New York, 1976 .
-
(1976)
Dynamical Systems (Proc. Internat. Sympos., Brown Univ., Providence, R.I., 1974)
, pp. 131-165
-
-
Crandall, M.G.1
-
10
-
-
84966233485
-
Stabilization of solutions of weakly singular quenching problems
-
Fila, M., Levine, H. A., and Vazquez, J. L., Stabilization of solutions of weakly singular quenching problems, Proc. Amer. Math. Soc. 119, 1993, pp. 555-559.
-
(1993)
Proc. Amer. Math. Soc.
, vol.119
, pp. 555-559
-
-
Fila, M.1
Levine, H.A.2
Vazquez, J.L.3
-
11
-
-
0011603513
-
Some properties of traveling waves in a medium with nonlinear heat conductivity and a heat source
-
Galaktionov, V. A., Some properties of traveling waves in a medium with nonlinear heat conductivity and a heat source, Zh. Vychisl. Mat. i Mat. Fiz 21, 1981, pp. 980-989; English translation: Comput. Math. Math. Phys. 21, 1981, pp. 167-176.
-
(1981)
Zh. Vychisl. Mat. i Mat. Fiz
, vol.21
, pp. 980-989
-
-
Galaktionov, V.A.1
-
12
-
-
0011541421
-
-
Galaktionov, V. A., Some properties of traveling waves in a medium with nonlinear heat conductivity and a heat source, Zh. Vychisl. Mat. i Mat. Fiz 21, 1981, pp. 980-989; English translation: Comput. Math. Math. Phys. 21, 1981, pp. 167-176.
-
(1981)
Comput. Math. Math. Phys.
, vol.21
, pp. 167-176
-
-
-
13
-
-
0040346678
-
Conditions for localization of unbounded solutions of quasi-linear parabolic equations
-
Galaktionov, V. A., Conditions for localization of unbounded solutions of quasi-linear parabolic equations, Dokl. Acad. Nauk SSSR 264, 1982, pp. 1035-1040; English translation: Soviet Math. Dokl. 25, 1982, pp. 775-780.
-
(1982)
Dokl. Acad. Nauk SSSR
, vol.264
, pp. 1035-1040
-
-
Galaktionov, V.A.1
-
14
-
-
0039754643
-
-
Galaktionov, V. A., Conditions for localization of unbounded solutions of quasi-linear parabolic equations, Dokl. Acad. Nauk SSSR 264, 1982, pp. 1035-1040; English translation: Soviet Math. Dokl. 25, 1982, pp. 775-780.
-
(1982)
Soviet Math. Dokl.
, vol.25
, pp. 775-780
-
-
-
15
-
-
0039162115
-
Asymptotic stability of invariant solutions of nonlinear equations of heat conduction with a source
-
Galaktionov, V. A., Kurdyumov, S. P., and Samarskii, A. A., Asymptotic stability of invariant solutions of nonlinear equations of heat conduction with a source, Differentsial'nye Uravneniya, 20, 1984, pp. 614-632; English translation: Differential Equations 20, 1984, pp. 461-476.
-
(1984)
Differentsial'nye Uravneniya
, vol.20
, pp. 614-632
-
-
Galaktionov, V.A.1
Kurdyumov, S.P.2
Samarskii, A.A.3
-
16
-
-
0039754640
-
-
Galaktionov, V. A., Kurdyumov, S. P., and Samarskii, A. A., Asymptotic stability of invariant solutions of nonlinear equations of heat conduction with a source, Differentsial'nye Uravneniya, 20, 1984, pp. 614-632; English translation: Differential Equations 20, 1984, pp. 461-476.
-
(1984)
Differential Equations
, vol.20
, pp. 461-476
-
-
-
17
-
-
0001079592
-
On the method of stationary states for quasi-linear parabolic equations
-
Galaktionov, V. A., Kurdyumov, S. P., and Samarskii, A. A., On the method of stationary states for quasi-linear parabolic equations, Mat. Sb. 180, 1989, pp. 995-1016; English translation: Math. USSR-Sb. 67, 1990, pp. 449-471.
-
(1989)
Mat. Sb.
, vol.180
, pp. 995-1016
-
-
Galaktionov, V.A.1
Kurdyumov, S.P.2
Samarskii, A.A.3
-
18
-
-
0011603294
-
-
Galaktionov, V. A., Kurdyumov, S. P., and Samarskii, A. A., On the method of stationary states for quasi-linear parabolic equations, Mat. Sb. 180, 1989, pp. 995-1016; English translation: Math. USSR-Sb. 67, 1990, pp. 449-471.
-
(1990)
Math. USSR-Sb.
, vol.67
, pp. 449-471
-
-
-
19
-
-
85033121586
-
Monotonicity in time of large solutions to a nonlinear heat equation
-
to appear
-
Galaktionov, V. A., and Lacey, A. A., Monotonicity in time of large solutions to a nonlinear heat equation, Rocky Mountain J. Math., to appear.
-
Rocky Mountain J. Math.
-
-
Galaktionov, V.A.1
Lacey, A.A.2
-
20
-
-
0004528391
-
Regional blow up in a semilinear heat equation with convergence to a Hamilton-Jacobi equation
-
Galaktionov, V. A., and Vazquez, J. L., Regional blow up in a semilinear heat equation with convergence to a Hamilton-Jacobi equation, SIAM J. Math. Anal. 24, 1993, pp. 1254-1276.
-
(1993)
SIAM J. Math. Anal.
, vol.24
, pp. 1254-1276
-
-
Galaktionov, V.A.1
Vazquez, J.L.2
-
21
-
-
0000005349
-
Extinction for a quasi-linear heat equation with absorption I: Technique of intersection comparison
-
Galaktionov, V. A., and Vazquez, J. L., Extinction for a quasi-linear heat equation with absorption I: Technique of intersection comparison, Comm. Partial Differential Equations 19, 1994, pp. 1075-1106.
-
(1994)
Comm. Partial Differential Equations
, vol.19
, pp. 1075-1106
-
-
Galaktionov, V.A.1
Vazquez, J.L.2
-
22
-
-
21844506741
-
Necessary and sufficient conditions for complete blow-up and extinction for one-dimensional quasi-linear heat equations
-
Galaktionov, V. A., and Vazquez, J. L., Necessary and sufficient conditions for complete blow-up and extinction for one-dimensional quasi-linear heat equations, Arch. Rational Mech. Anal. 129, 1995, pp. 225-244.
-
(1995)
Arch. Rational Mech. Anal.
, vol.129
, pp. 225-244
-
-
Galaktionov, V.A.1
Vazquez, J.L.2
-
24
-
-
84972548529
-
On elliptic equations related to self-similar solutions for nonlinear heat equations
-
Giga, Y., On elliptic equations related to self-similar solutions for nonlinear heat equations, Hiroshima Math. J. 16, 1986, pp. 539-552.
-
(1986)
Hiroshima Math. J.
, vol.16
, pp. 539-552
-
-
Giga, Y.1
-
25
-
-
0001409903
-
Nonuniqueness for a semilinear initial value problem
-
Haraux, A., and Weissler, F., Nonuniqueness for a semilinear initial value problem, Indiana Univ. Math. J. 31, 1982, pp. 167-189.
-
(1982)
Indiana Univ. Math. J.
, vol.31
, pp. 167-189
-
-
Haraux, A.1
Weissler, F.2
-
26
-
-
0000172301
-
Explosion de solutions d'équations paraboliques semilinéaires supercritiques
-
Herrero, M. A., and Velázquez, J. L. L., Explosion de solutions d'équations paraboliques semilinéaires supercritiques, C. R. Acad. Sci. Paris, Sér. I Math. 319, 1994, pp. 141-145; Blowup of solutions of supercritical semilinear parabolic equations, preprint, 1994.
-
(1994)
C. R. Acad. Sci. Paris, Sér. I Math.
, vol.319
, pp. 141-145
-
-
Herrero, M.A.1
Velázquez, J.L.L.2
-
27
-
-
0040940671
-
-
preprint
-
Herrero, M. A., and Velázquez, J. L. L., Explosion de solutions d'équations paraboliques semilinéaires supercritiques, C. R. Acad. Sci. Paris, Sér. I Math. 319, 1994, pp. 141-145; Blowup of solutions of supercritical semilinear parabolic equations, preprint, 1994.
-
(1994)
Blowup of Solutions of Supercritical Semilinear Parabolic Equations
-
-
-
28
-
-
0015557517
-
Quasilinear Dirichlet problems driven by positive sources
-
Joseph, D. D., and Lundgren, T. S., Quasilinear Dirichlet problems driven by positive sources, Arch. Rational Mech. Anal. 49, 1972/73, pp. 241-269.
-
(1972)
Arch. Rational Mech. Anal.
, vol.49
, pp. 241-269
-
-
Joseph, D.D.1
Lundgren, T.S.2
-
29
-
-
0000467105
-
Some problems of the qualitative theory of second-order nolinear degenerate parabolic equations
-
Kalashnikov, A. S., Some problems of the qualitative theory of second-order nolinear degenerate parabolic equations, Uspekhi Mat. Nauk 42, 1987, pp. 135-176; English translation: Russian Math. Surveys 42, 1987, pp. 169-222.
-
(1987)
Uspekhi Mat. Nauk
, vol.42
, pp. 135-176
-
-
Kalashnikov, A.S.1
-
30
-
-
84862599035
-
-
Kalashnikov, A. S., Some problems of the qualitative theory of second-order nolinear degenerate parabolic equations, Uspekhi Mat. Nauk 42, 1987, pp. 135-176; English translation: Russian Math. Surveys 42, 1987, pp. 169-222.
-
(1987)
Russian Math. Surveys
, vol.42
, pp. 169-222
-
-
-
31
-
-
84988159804
-
On degenerate diffusion with very strong absorption
-
Kawohl, B., and Kersner, R., On degenerate diffusion with very strong absorption, Math. Methods Appl. Sci. 15, 1992, pp. 469-477.
-
(1992)
Math. Methods Appl. Sci.
, vol.15
, pp. 469-477
-
-
Kawohl, B.1
Kersner, R.2
-
32
-
-
0001259596
-
Complete blow-up for a semilinear diffusion equation with a sufficiently large initial condition
-
Lacey, A. A., and Tzanetis, D., Complete blow-up for a semilinear diffusion equation with a sufficiently large initial condition, IMA J. Appl. Math. 41, 1988, pp. 207-215.
-
(1988)
IMA J. Appl. Math.
, vol.41
, pp. 207-215
-
-
Lacey, A.A.1
Tzanetis, D.2
-
33
-
-
0012856953
-
Global, unbounded solutions to a parabolic equation
-
Lacey, A. A., and Tzanetis, D. E., Global, unbounded solutions to a parabolic equation, J. Differential Equations 101, 1993, pp. 80-102.
-
(1993)
J. Differential Equations
, vol.101
, pp. 80-102
-
-
Lacey, A.A.1
Tzanetis, D.E.2
-
34
-
-
0039162116
-
Countable spectrum of the eigenfunctions of the nonlinear heat equation with distributed parameters
-
Lepin, L. A., Countable spectrum of the eigenfunctions of the nonlinear heat equation with distributed parameters, Differentsial'nye Uravneniya 24, 1988, pp. 1226-1234; English translation: Differential Equations 24, 1988, pp. 799-805.
-
(1988)
Differentsial'nye Uravneniya
, vol.24
, pp. 1226-1234
-
-
Lepin, L.A.1
-
35
-
-
0013065771
-
-
Lepin, L. A., Countable spectrum of the eigenfunctions of the nonlinear heat equation with distributed parameters, Differentsial'nye Uravneniya 24, 1988, pp. 1226-1234; English translation: Differential Equations 24, 1988, pp. 799-805.
-
(1988)
Differential Equations
, vol.24
, pp. 799-805
-
-
-
36
-
-
0012859161
-
Self-similar solutions of a semilinear heat equation
-
in Russian
-
Lepin, E. A., Self-similar solutions of a semilinear heat equation, Mat. Model. 2, 1990, pp. 63-74 (in Russian).
-
(1990)
Mat. Model.
, vol.2
, pp. 63-74
-
-
Lepin, E.A.1
-
37
-
-
0000576069
-
Quenching, nonquenching, and beyond quenching for solution of some parabolic equations
-
Levine, H. A., Quenching, nonquenching, and beyond quenching for solution of some parabolic equations. Ann. Mat. Pura Appl. (4) 155, 1989, pp. 243-260.
-
(1989)
Ann. Mat. Pura Appl.
, vol.155
, Issue.4
, pp. 243-260
-
-
Levine, H.A.1
-
38
-
-
0025442951
-
The role of critical exponents in blowup theorems
-
Levine, H. A., The role of critical exponents in blowup theorems, SIAM Rev. 32, 1990, pp. 262-288.
-
(1990)
SIAM Rev.
, vol.32
, pp. 262-288
-
-
Levine, H.A.1
-
39
-
-
0002842122
-
On the asymptotic behavior of solutions of certain quasi-linear parabolic equations
-
Ni, W.-M., Sacks, P. E., and Tavantzis, J., On the asymptotic behavior of solutions of certain quasi-linear parabolic equations, J. Differential Equations 54, 1984, pp. 97-120.
-
(1984)
J. Differential Equations
, vol.54
, pp. 97-120
-
-
Ni, W.-M.1
Sacks, P.E.2
Tavantzis, J.3
-
40
-
-
21844488832
-
On the stability or instability of the singular solution of the semilinear heat equation with exponential reaction term
-
Peral, I., and Vazquez, J. L., On the stability or instability of the singular solution of the semilinear heat equation with exponential reaction term. Arch. Rational Mech. Anal. 129, 1995, pp. 201-224.
-
(1995)
Arch. Rational Mech. Anal.
, vol.129
, pp. 201-224
-
-
Peral, I.1
Vazquez, J.L.2
-
41
-
-
84951416437
-
Existence of solutions of quenching problems
-
Phillips, D., Existence of solutions of quenching problems, Appl. Anal. 24, 1987, pp. 253-264.
-
(1987)
Appl. Anal.
, vol.24
, pp. 253-264
-
-
Phillips, D.1
-
42
-
-
0002403465
-
On the eigenfunctions of the equation Δu + λf(u) = 0
-
Pohozaev, S. I., On the eigenfunctions of the equation Δu + λf(u) = 0. Dokl. Acad. Nauk SSSR 165, 1965, pp. 36-39;
-
(1965)
Dokl. Acad. Nauk SSSR
, vol.165
, pp. 36-39
-
-
Pohozaev, S.I.1
-
43
-
-
0000514956
-
-
English translation: Soviet Math. Dokl. 6, 1965, pp. 1408-1411.
-
(1965)
Soviet Math. Dokl.
, vol.6
, pp. 1408-1411
-
-
-
44
-
-
0040940660
-
The burning of a nonlinear medium in the form of complex structures
-
Samarskii, A. A., Elenin, G. G., Zmitrenko, N. V., Kurdyumov, S. P., and Mikhailov, A. P., The burning of a nonlinear medium in the form of complex structures, Dokl. Akad. Nauk SSSR, Ser. Math. Phys. 237, 1977, pp. 1330-1333; English translation: Soviet Phys. Dokl. 22, 1977, pp. 737-739.
-
(1977)
Dokl. Akad. Nauk SSSR, Ser. Math. Phys.
, vol.237
, pp. 1330-1333
-
-
Samarskii, A.A.1
Elenin, G.G.2
Zmitrenko, N.V.3
Kurdyumov, S.P.4
Mikhailov, A.P.5
-
45
-
-
0040346673
-
-
Samarskii, A. A., Elenin, G. G., Zmitrenko, N. V., Kurdyumov, S. P., and Mikhailov, A. P., The burning of a nonlinear medium in the form of complex structures, Dokl. Akad. Nauk SSSR, Ser. Math. Phys. 237, 1977, pp. 1330-1333; English translation: Soviet Phys. Dokl. 22, 1977, pp. 737-739.
-
(1977)
Soviet Phys. Dokl.
, vol.22
, pp. 737-739
-
-
-
46
-
-
0003589034
-
-
Nauka, Moscow
-
Samarskii, A. A., Galaktionov, V. A., Kurdyumov, S. P., and Mikhailov, A. P., Blow-up in Quasilinear Parabolic Equations, Nauka, Moscow, 1987; English translation: de Gruyter Expositions in Mathematics No. 19. Walter de Gruyter, Berlin, 1995.
-
(1987)
Blow-up in Quasilinear Parabolic Equations
-
-
Samarskii, A.A.1
Galaktionov, V.A.2
Kurdyumov, S.P.3
Mikhailov, A.P.4
-
47
-
-
0040346667
-
-
Walter de Gruyter, Berlin
-
Samarskii, A. A., Galaktionov, V. A., Kurdyumov, S. P., and Mikhailov, A. P., Blow-up in Quasilinear Parabolic Equations, Nauka, Moscow, 1987; English translation: de Gruyter Expositions in Mathematics No. 19. Walter de Gruyter, Berlin, 1995.
-
(1995)
De Gruyter Expositions in Mathematics No. 19
, vol.19
-
-
|