| Title:
|
Semilinear parabolic systems (English) |
| Author:
|
Amann, Herbert |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
26 |
| Issue:
|
1 |
| Year:
|
1985 |
| Pages:
|
3-21 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35A05 |
| MSC:
|
35A07 |
| MSC:
|
35B65 |
| MSC:
|
35K60 |
| idZBL:
|
Zbl 0576.35067 |
| idMR:
|
MR797291 |
| . |
| Date available:
|
2008-06-05T21:20:09Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106345 |
| . |
| Reference:
|
[1] ALIKAKOS N. D.: $L^p$ bounds of solutions of reaction-diffusion equations.Comm. in Partial Diff. Equat. 4 (1979), 827-868. MR 0537465 |
| Reference:
|
[2] ALIKAKOS N. D.: Quantitative maximum principles and strongly coupled gradient-like reaction-diffusion systems.Proc. Royal Soc. Edinburgh 94 (1983), 265-286. Zbl 0538.35009, MR 0709721 |
| Reference:
|
[3] AMANN H.: Existence and regularity for semilinear parabolic evolution equations.To appear. Zbl 0625.35045, MR 0808425 |
| Reference:
|
[4] AMANN H.: Global existence for semilinear parabolic systems.In preparation. Zbl 0564.35060 |
| Reference:
|
[5] BROWDER F. E.: On the spectral theory of elliptic operastors.I. Math. Annalen 141 (1961), 22-130. MR 0209909 |
| Reference:
|
[6] COSNER CH.: Pointwise a priori bounds for strongly coupled semi-linear systems of parabolic partial differential equations.Indiana Univ. Math. J. 30 (1981), 607-620. Zbl 0467.35014, MR 0620270 |
| Reference:
|
[7] FRIEDMAN A.: Partial Differential Equations.Holt, Rinehart and Winston, New York, 1969. Zbl 0224.35002, MR 0445088 |
| Reference:
|
[8] KATO T., TANABE H.: On the abstract evolution equation.Osaka Math. J. 14 (1962), 107-133. Zbl 0106.09302, MR 0140954 |
| Reference:
|
[9] KIELHOEFER H.: Global solutions of semi linear evolution equations satisfying an energy inequality.J. Diff. Equat. 36 (1980), 188-222. MR 0574336 |
| Reference:
|
[10] LIONS J. L., MAGENES E.: Non-Homogeneous Boundary Value Problems and Applications I.Springer Verlag, Berlin, 1972. |
| Reference:
|
[11] PECHER H., von WAHL W.: Klassische Lösungen in Grossen semilinearer parabolischer Differentialgleichungen.Math. Z. 145 (1975), 255-265. MR 0422872 |
| Reference:
|
[12] ROTHE F.: Uniform bounds from bounded $L_p$ -functionals in reaction-diffusion equations.J. Diff. Equat. 45 (1982), 207-233. MR 0665998 |
| Reference:
|
[13] ROTHE F.: A priori estimates, global existence and asymptotic behaviour for weakly ooupled systems of reaction-diffusion equations.Habilitationsschrift, Univ. Tübingen, 1983. |
| Reference:
|
[14] SOBOLEVSKII P.E.: Equations of parabolic type in a Banaoh space., Amer. Math. Soc. Transl., Ser. 2, 49 (1966), 1-62. |
| Reference:
|
[15] von WAHL W.: Lineare und semilineare parabolisohe Differentialgleichungen in Räumen hölderstetiger Funktionen.Abh. Math. Sen. Univ. Hamburg 43 (1975), 234-262. MR 0473528 |
| Reference:
|
[16] von WAHL W.: Semilinear elliptic and parabolic equations of arbitrary order.Proc. Royal Soc. Edinburgh, Sect. A, 78 (1978), 193-207. Zbl 0398.35043, MR 0492843 |
| Reference:
|
[17] YAGI A.: On the abstract linear evolution equations in Banach spaces.J. Math. Soc Japan 28 (1976), 290-303. Zbl 0318.34068, MR 0397478 |
| . |
