Bénilan, Philippe; Crandall, Michael G.; Pazy, Amnon “Bonnes solutions” d’un problème d’évolution semi-linéaire. (“Mild solutions” of a semilinear evolution problem). (French) Zbl 0635.34013 C. R. Acad. Sci., Paris, Sér. I 306, No. 13, 527-530 (1988). Summary: We consider the notion of “mild solutions”, which has been introduced for general nonlinear evolution problems, in the case of the semilinear equation \(du/dt+Lu=B(u)\), where L is any linear operator and B is a continuous operator; we obtain equivalent formulations and show that the property of time reversibility, which fails for general nonlinear problems, holds in the semilinear case. Cited in 12 Documents MSC: 34A34 Nonlinear ordinary differential equations and systems, general theory 34A99 General theory for ordinary differential equations Keywords:mild solutions; nonlinear evolution problems PDF BibTeX XML Cite \textit{P. Bénilan} et al., C. R. Acad. Sci., Paris, Sér. I 306, No. 13, 527--530 (1988; Zbl 0635.34013)