A blow-up result for nonlinear diffusion equations
Mathematica Slovaca (1989)
- Volume: 39, Issue: 3, page 331-346
- ISSN: 0139-9918
Access Full Article
topHow to cite
topFila, Marek, and Filo, Ján. "A blow-up result for nonlinear diffusion equations." Mathematica Slovaca 39.3 (1989): 331-346. <http://eudml.org/doc/32240>.
@article{Fila1989,
author = {Fila, Marek, Filo, Ján},
journal = {Mathematica Slovaca},
keywords = {blow-up; nonlinear diffusion; nonexistence of global solutions; initial boundary value},
language = {eng},
number = {3},
pages = {331-346},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A blow-up result for nonlinear diffusion equations},
url = {http://eudml.org/doc/32240},
volume = {39},
year = {1989},
}
TY - JOUR
AU - Fila, Marek
AU - Filo, Ján
TI - A blow-up result for nonlinear diffusion equations
JO - Mathematica Slovaca
PY - 1989
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 39
IS - 3
SP - 331
EP - 346
LA - eng
KW - blow-up; nonlinear diffusion; nonexistence of global solutions; initial boundary value
UR - http://eudml.org/doc/32240
ER -
References
top- ARONSON D. G., CRANDALL M. G., PELETIER L. A., Stabilization of solutions of a degenerate nonlinear diffusion problem, Nonlinear Analysis, 6, 1982, 1001-1022. (1982) Zbl0518.35050MR0678053
- BALL J. M., Remarks on blow-up and nonexistence theorems for nonlinear evolution equations, Quart. J. Math. Oxford, (2), 28, 1977, 473-486. (1977) Zbl0377.35037MR0473484
- BERGER M. S., Nonlinearity and functional analysis, Academic Press 1977. (1977) Zbl0368.47001MR0488101
- FILA M., FILO J., Stabilization of solutions of certain one-dimensional degentrate diffusion equations, Math. Slovaca 37, 1987, 217-229. (1987) MR0899439
- FILO J., On solutions of a pertuгbed fast diffusion equation, Aplikace matematiky 32, 1987, 364-380. (1987) MR0909544
- FRIEDMAN A., Partial differential equations of parabolic type, Prentice-Hall, N.J. 1964. (1964) Zbl0144.34903MR0181836
- FRIEDMAN A., Partial differential equations, Holt, Rinehart and Winston, New York 1969. (1969) Zbl0224.35002MR0445088
- FUJITA H., On the blowing up of solutions of the Cauchy problem for , J. Fac. Sci. Univ. Tokyo, Sect. 1A 13, 1966, 109-124. (1966) MR0214914
- GALAKTIONOV V. A., A boundary value problem for the nonlinear parabolic equation , Differential equations 17, 1981, 551-555 (Russian). (1981) MR0616920
- LADYZENSKAJA O. A., SOLONNIKOV V. A., URALCEVA N. N., Lineaг and quasilinear equations of paгabolic type, Nauka, Moscow 1967. (1967)
- LEVINE H. A., SACKS P. E., Some existence and nonexistence theorems for solutions of degenerate parabolic equations, J. Differential Equations 52, 1984, 135-161. (1984) Zbl0487.34003MR0741265
- NAKAO M., Existence, nonexistence and some asymptotic behaviour of global solutions of a nonlinear degenerate parabolic equation, Math. Rep. College of Gen. Edc, Kyushu Univ. 14, 1983, 1-21. (1983) Zbl0563.35038MR0737351
- NAKAO M., Lp-estimates of solution of some nonlinear degenerate diffusion equations, J. Math. Soc. Japan 37, 1985, 41-63. (1985) MR0769776
- SACKS P. E., Continuity of solutions of a singular parabolic equation, Nonlinear Analysis 7, 1983, 387-409. (1983) Zbl0511.35052MR0696738
- SATTINGER D. H., PAYNE L. E., Saddle points and instability of nonlinear hyperbolic equations, Israel J. Math. 22, 1975, 273-303. (1975) MR0402291
- TSUTSUMI M., Existence and nonexistence of global solutions for nonlinear parabolic equations, Publ. R.I.M.S., Kyoto Univ. 8, 1972/73, 211-229. (1972) Zbl0248.35074MR0312079
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.