| Title:
|
Boundedness of global solutions for the heat equation with nonlinear boundary conditions (English) |
| Author:
|
Fila, Marek |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
30 |
| Issue:
|
3 |
| Year:
|
1989 |
| Pages:
|
479-484 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35B40 |
| MSC:
|
35K05 |
| MSC:
|
35K60 |
| idZBL:
|
Zbl 0702.35141 |
| idMR:
|
MR1031865 |
| . |
| Date available:
|
2008-06-05T21:39:41Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106769 |
| . |
| Reference:
|
[A1] Amann H.: Quasilinear parabolic systems under nonlinear boundary conditions.Arch. Rat. Mech. Anal. 92 (1986), 153-192. Zbl 0596.35061, MR 0816618 |
| Reference:
|
[A2] Amann H.: Parabolic evolution equations and nonlinear boundary conditions.J. Diff. Eqns 72 (1988), 201-269. Zbl 0658.34011, MR 0932367 |
| Reference:
|
[CL] Cazenave T., Lions P. L.: Solutions globales d'équation de la chaleur semilinéaires.Commun. Part. Diff. Equations 9 (1984), 955-978. MR 0755928 |
| Reference:
|
[G] Giga Y.: A bound for global solutions of semilinear heat equations.Commun. Math. Phys. 103 (1986), 415-421. Zbl 0595.35057, MR 0832917 |
| Reference:
|
[F1] Fila M.: Boundedness of global solutions of nonlinear diffusion equations.Preprint Nr. 497 (1988); Univ. Heidelberg. MR 1170469 |
| Reference:
|
[F2] Fila M.: Remarks on blow up for a nonlinear parabolic equation with a gradient term.Preprint Nr. 502 (1989); SFB 123, Univ. Heidelberg. MR 1052569 |
| Reference:
|
[Fo] Filo: Uniform bounds of solutions to a degenerate diffusion equation with nonlinear boundary conditions.Comment. Math. Univ. Carolinae 30 (1989). MR 1031866 |
| Reference:
|
[LP] Levine H. A., Payne L. E.: Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time.J. Diff. Eqns 16 (1974), 319-334. MR 0470481 |
| Reference:
|
[NST] Ni W. M., Sacks P. E., Tavantzis J. E.: On the asymptotic behavior of solutions of certain quasilinear equation of parabolic type.J. Diff. Eqns 54 (1984), 97-120. MR 0756548 |
| Reference:
|
[PS] Payne L. E., Sattinger D. H.: Saddle points and instability of nonlinear hyperbolic equations.Israel J. Math. 22 (1975), 273-303. MR 0402291 |
| . |
