Semilinear parabolic systems
Commentationes Mathematicae Universitatis Carolinae (1985)
- Volume: 026, Issue: 1, page 3-21
- ISSN: 0010-2628
Access Full Article
topHow to cite
topAmann, Herbert. "Semilinear parabolic systems." Commentationes Mathematicae Universitatis Carolinae 026.1 (1985): 3-21. <http://eudml.org/doc/17359>.
@article{Amann1985,
author = {Amann, Herbert},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {semilinear parabolic systems; local and global existence; time-dependent boundary conditions; regularity},
language = {eng},
number = {1},
pages = {3-21},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Semilinear parabolic systems},
url = {http://eudml.org/doc/17359},
volume = {026},
year = {1985},
}
TY - JOUR
AU - Amann, Herbert
TI - Semilinear parabolic systems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1985
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 026
IS - 1
SP - 3
EP - 21
LA - eng
KW - semilinear parabolic systems; local and global existence; time-dependent boundary conditions; regularity
UR - http://eudml.org/doc/17359
ER -
References
top- ALIKAKOS N. D., bounds of solutions of reaction-diffusion equations, Comm. in Partial Diff. Equat. 4 (1979), 827-868. (1979) MR0537465
- ALIKAKOS N. D., Quantitative maximum principles and strongly coupled gradient-like reaction-diffusion systems, Proc. Royal Soc. Edinburgh 94 (1983), 265-286. (1983) Zbl0538.35009MR0709721
- AMANN H., Existence and regularity for semilinear parabolic evolution equations, To appear. Zbl0625.35045MR0808425
- AMANN H., Global existence for semilinear parabolic systems, In preparation. Zbl0564.35060
- BROWDER F. E., On the spectral theory of elliptic operastors, I. Math. Annalen 141 (1961), 22-130. (1961) MR0209909
- 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. (1981) Zbl0467.35014MR0620270
- FRIEDMAN A., Partial Differential Equations, Holt, Rinehart and Winston, New York, 1969. (1969) Zbl0224.35002MR0445088
- KATO T., TANABE H., On the abstract evolution equation, Osaka Math. J. 14 (1962), 107-133. (1962) Zbl0106.09302MR0140954
- KIELHOEFER H., Global solutions of semi linear evolution equations satisfying an energy inequality, J. Diff. Equat. 36 (1980), 188-222. (1980) MR0574336
- LIONS J. L., MAGENES E., Non-Homogeneous Boundary Value Problems and Applications I, Springer Verlag, Berlin, 1972. (1972)
- PECHER H., von WAHL W., Klassische Lösungen in Grossen semilinearer parabolischer Differentialgleichungen, Math. Z. 145 (1975), 255-265. (1975) MR0422872
- ROTHE F., Uniform bounds from bounded -functionals in reaction-diffusion equations, J. Diff. Equat. 45 (1982), 207-233. (1982) MR0665998
- ROTHE F., A priori estimates, global existence and asymptotic behaviour for weakly ooupled systems of reaction-diffusion equations, Habilitationsschrift, Univ. Tübingen, 1983. (1983)
- SOBOLEVSKII P.E., Equations of parabolic type in a Banaoh space, , Amer. Math. Soc. Transl., Ser. 2, 49 (1966), 1-62. (1966)
- von WAHL W., Lineare und semilineare parabolisohe Differentialgleichungen in Räumen hölderstetiger Funktionen, Abh. Math. Sen. Univ. Hamburg 43 (1975), 234-262. (1975) MR0473528
- von WAHL W., Semilinear elliptic and parabolic equations of arbitrary order, Proc. Royal Soc. Edinburgh, Sect. A, 78 (1978), 193-207. (1978) Zbl0398.35043MR0492843
- YAGI A., On the abstract linear evolution equations in Banach spaces, J. Math. Soc Japan 28 (1976), 290-303. (1976) Zbl0318.34068MR0397478
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.