Semilinear parabolic systems
Amann, Herbert
Commentationes Mathematicae Universitatis Carolinae, Tome 026 (1985), p. 3-21 / Harvested from Czech Digital Mathematics Library
Publié le : 1985-01-01
Classification:  35A05,  35A07,  35B65,  35K60
@article{106345,
     author = {Herbert Amann},
     title = {Semilinear parabolic systems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {026},
     year = {1985},
     pages = {3-21},
     zbl = {0576.35067},
     mrnumber = {797291},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106345}
}
Amann, Herbert. Semilinear parabolic systems. Commentationes Mathematicae Universitatis Carolinae, Tome 026 (1985) pp. 3-21. http://gdmltest.u-ga.fr/item/106345/

Alikakos N. D. $L^p$ bounds of solutions of reaction-diffusion equations, Comm. in Partial Diff. Equat. 4 (1979), 827-868. (1979) | MR 0537465

Alikakos N. D. Quantitative maximum principles and strongly coupled gradient-like reaction-diffusion systems, Proc. Royal Soc. Edinburgh 94 (1983), 265-286. (1983) | MR 0709721 | Zbl 0538.35009

Amann H. Existence and regularity for semilinear parabolic evolution equations, To appear. | MR 0808425 | Zbl 0625.35045

Amann H. Global existence for semilinear parabolic systems, In preparation. | Zbl 0564.35060

Browder F. E. On the spectral theory of elliptic operastors, I. Math. Annalen 141 (1961), 22-130. (1961) | MR 0209909

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) | MR 0620270 | Zbl 0467.35014

Friedman A. Partial Differential Equations, Holt, Rinehart and Winston, New York, 1969. (1969) | MR 0445088 | Zbl 0224.35002

Kato T.; Tanabe H. On the abstract evolution equation, Osaka Math. J. 14 (1962), 107-133. (1962) | MR 0140954 | Zbl 0106.09302

Kielhoefer H. Global solutions of semi linear evolution equations satisfying an energy inequality, J. Diff. Equat. 36 (1980), 188-222. (1980) | MR 0574336

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) | MR 0422872

Rothe F. Uniform bounds from bounded $L_p$ -functionals in reaction-diffusion equations, J. Diff. Equat. 45 (1982), 207-233. (1982) | MR 0665998

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) | MR 0473528

Von Wahl W. Semilinear elliptic and parabolic equations of arbitrary order, Proc. Royal Soc. Edinburgh, Sect. A, 78 (1978), 193-207. (1978) | MR 0492843 | Zbl 0398.35043

Yagi A. On the abstract linear evolution equations in Banach spaces, J. Math. Soc Japan 28 (1976), 290-303. (1976) | MR 0397478 | Zbl 0318.34068