On the solvability of the equation div u=f in L1 and in C0
Dacorogna, Bernard ; Fusco, Nicola ; Tartar, Luc
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 14 (2003), p. 239-245 / Harvested from Biblioteca Digitale Italiana di Matematica
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We show that the equation div u=f has, in general, no Lipschitz (respectively W1,1) solution if f is C0 (respectively L1).

Publié le : 2003-09-01
@article{RLIN_2003_9_14_3_239_0,
     author = {Bernard Dacorogna and Nicola Fusco and Luc Tartar},
     title = {On the solvability of the equation div $u = f$ in $L^{1}$ and in $C^{0}$},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {14},
     year = {2003},
     pages = {239-245},
     zbl = {1225.35050},
     mrnumber = {2064270},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_2003_9_14_3_239_0}
}

Dacorogna, Bernard; Fusco, Nicola; Tartar, Luc. On the solvability of the equation div $u = f$ in $L^{1}$ and in $C^{0}$. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 14 (2003) pp. 239-245. http://gdmltest.u-ga.fr/item/RLIN_2003_9_14_3_239_0/

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