Some problems of parabolic type with discontinuous nonlinearities on convex constraints
Frigon, Marlène ; Marino, Antonio ; Saccon, Claudio
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 1 (1990), p. 41-52 / Harvested from Biblioteca Digitale Italiana di Matematica
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We study semilinear equations and inequalities of parabolic type with discontinuous nonlinearities, possibly subjected to convex or even nonconvex constraint conditions. To prove some existence theorems we regard the solutions as «curves of maximal relaxed slope» for a suitable functional on the given constraint.

Si studiano alcune equazioni e disequazioni di tipo parabolico semilineare con termine non lineare discontinuo, in presenza di condizioni di vincolo anche non convesse. Per ottenere dei teoremi di esistenza si interpretano le soluzioni come «curve di massima pendenza rilassata» per un opportuno funzionale sul vincolo considerato.

Publié le : 1990-02-01
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     author = {Marl\`ene Frigon and Antonio Marino and Claudio Saccon},
     title = {Some problems of parabolic type with discontinuous nonlinearities on convex constraints},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {1},
     year = {1990},
     pages = {41-52},
     zbl = {0705.35074},
     mrnumber = {1081825},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1990_9_1_1_41_0}
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Frigon, Marlène; Marino, Antonio; Saccon, Claudio. Some problems of parabolic type with discontinuous nonlinearities on convex constraints. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 1 (1990) pp. 41-52. http://gdmltest.u-ga.fr/item/RLIN_1990_9_1_1_41_0/

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