Portnyagin, Dmitry A generalization of the maximum principle to nonlinear parabolic systems. (English) Zbl 1101.35310 Ann. Pol. Math. 81, No. 3, 217-236 (2003). The author establishes a generalization of the weak maximum principle for a class of quasilinear strongly parabolic systens with leading terms of \(p\)-Laplacian type. Reviewer: Jiaqi Mo (Wuhu) Cited in 2 Documents MSC: 35B50 Maximum principles in context of PDEs 35K40 Second-order parabolic systems 35K55 Nonlinear parabolic equations Keywords:parabolic systems; maximum principle; quasilinear systems; weak maximum principle; \(p\)-Laplacian type PDFBibTeX XMLCite \textit{D. Portnyagin}, Ann. Pol. Math. 81, No. 3, 217--236 (2003; Zbl 1101.35310) Full Text: DOI