Article
Full entry |
PDF
(1.2 MB)
Feedback
PDF
(1.2 MB)
Feedback
References:
[1] ALIKAKOS N. D.: $L^p$ bounds of solutions of reaction-diffusion equations. Comm. in Partial Diff. Equat. 4 (1979), 827-868. MR 0537465
[2] ALIKAKOS N. D.: Quantitative maximum principles and strongly coupled gradient-like reaction-diffusion systems. Proc. Royal Soc. Edinburgh 94 (1983), 265-286. MR 0709721 | Zbl 0538.35009
[3] AMANN H.: Existence and regularity for semilinear parabolic evolution equations. To appear. MR 0808425 | Zbl 0625.35045
[4] AMANN H.: Global existence for semilinear parabolic systems. In preparation. Zbl 0564.35060
[5] BROWDER F. E.: On the spectral theory of elliptic operastors. I. Math. Annalen 141 (1961), 22-130. MR 0209909
[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. MR 0620270 | Zbl 0467.35014
[7] FRIEDMAN A.: Partial Differential Equations. Holt, Rinehart and Winston, New York, 1969. MR 0445088 | Zbl 0224.35002
[8] KATO T., TANABE H.: On the abstract evolution equation. Osaka Math. J. 14 (1962), 107-133. MR 0140954 | Zbl 0106.09302
[9] KIELHOEFER H.: Global solutions of semi linear evolution equations satisfying an energy inequality. J. Diff. Equat. 36 (1980), 188-222. MR 0574336
[10] LIONS J. L., MAGENES E.: Non-Homogeneous Boundary Value Problems and Applications I. Springer Verlag, Berlin, 1972.
[11] PECHER H., von WAHL W.: Klassische Lösungen in Grossen semilinearer parabolischer Differentialgleichungen. Math. Z. 145 (1975), 255-265. MR 0422872
[12] ROTHE F.: Uniform bounds from bounded $L_p$ -functionals in reaction-diffusion equations. J. Diff. Equat. 45 (1982), 207-233. MR 0665998
[13] ROTHE F.: A priori estimates, global existence and asymptotic behaviour for weakly ooupled systems of reaction-diffusion equations. Habilitationsschrift, Univ. Tübingen, 1983.
[14] SOBOLEVSKII P.E.: Equations of parabolic type in a Banaoh space. Amer. Math. Soc. Transl., Ser. 2, 49 (1966), 1-62.
[15] von WAHL W.: Lineare und semilineare parabolisohe Differentialgleichungen in Räumen hölderstetiger Funktionen. Abh. Math. Sen. Univ. Hamburg 43 (1975), 234-262. MR 0473528
[16] von WAHL W.: Semilinear elliptic and parabolic equations of arbitrary order. Proc. Royal Soc. Edinburgh, Sect. A, 78 (1978), 193-207. MR 0492843 | Zbl 0398.35043
[17] YAGI A.: On the abstract linear evolution equations in Banach spaces. J. Math. Soc Japan 28 (1976), 290-303. MR 0397478 | Zbl 0318.34068
Search
Partner of
