Geodesic
A priori estimates in L ∞ for non-diagonal perturbed quasilinear systems
Krömer, Stefan1
1 Institut für Mathematik, Universität Augsburg, 86135 Augsburg, Germany
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 8 (2009) no. 3, pp. 417-428

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We present a way to derive a priori estimates in L ∞ for a class of quasilinear systems containing examples with a leading part which is neither diagonal nor of Uhlenbeck type. Moreover, a perturbation term with natural growth in first order derivatives is allowed.

Classification : 35B45, 35J45

Krömer, Stefan 1

1 Institut für Mathematik, Universität Augsburg, 86135 Augsburg, Germany 
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     author = {Kr\"omer, Stefan},
     title = {A priori estimates in {L}$^{\infty }$ for non-diagonal perturbed quasilinear systems},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {417--428},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 8},
     number = {3},
     year = {2009},
     mrnumber = {2581428},
     zbl = {1181.35064},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ASNSP_2009_5_8_3_417_0/}
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Krömer, Stefan. A priori estimates in L$^{\infty }$ for non-diagonal perturbed quasilinear systems. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 8 (2009) no. 3, pp. 417-428. http://geodesic.mathdoc.fr/item/ASNSP_2009_5_8_3_417_0/