caa a22 4500 467989583 CHVBK 20180323112541.0 cr unu---uuuuu 170328e19900601xx s 000 0 eng 10.1007/BF01302781 doi (NATIONALLICENCE)springer-10.1007/BF01302781 Langlais Michel U.F.R. Sciences Humaines Appliquées U.A. C.N.R.S. 004226, Université de Bordeaux II, 146, rue Léo Saignat, F-33076, Bordeaux Cedex, France aut Generalized functions solutions of monotone and semilinear parabolic equations [Elektronische Daten] [Michel Langlais] We investigate monotone semilinear equations in the setting of generalized functions. We derive existence and uniqueness results even in situations where no solution exists in the sense of distributions; next we show it is consistent with continuous solutions whenever they exist. Furthermore we prove that those transient generalized solutions stabilize toward steady state solutions the way weak solutions do. Lastly we point out an example how these techniques can be applied to different type of nonlinearities. Springer-Verlag, 1990 Monatshefte für Mathematik Springer-Verlag 110/2(1990-06-01), 117-136 0026-9255 110:2<117 1990 110 605 https://doi.org/10.1007/BF01302781 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01302781 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Langlais Michel U.F.R. Sciences Humaines Appliquées U.A. C.N.R.S. 004226, Université de Bordeaux II, 146, rue Léo Saignat, F-33076, Bordeaux Cedex, France aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer-Verlag 110/2(1990-06-01), 117-136 0026-9255 110:2<117 1990 110 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer