A note on quasilinear parabolic equations on manifolds
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 11 (2012) no. 4, pp. 857-874.

We prove short time existence, uniqueness and continuous dependence on the initial data of smooth solutions of quasilinear locally parabolic equations of arbitrary even order on closed manifolds.

Published online:
Classification: 35K59, 35K41, 35K52
Mantegazza, Carlo 1; Martinazzi, Luca 2

1 Scuola Normale Superiore Piazza dei Cavalieri 7 56126 Pisa, Italia
2 Centro di Ricerca Matematica “Ennio De Giorgi” Scuola Normale Superiore Piazza dei Cavalieri, 3 56126 Pisa, Italia
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Mantegazza, Carlo; Martinazzi, Luca. A note on quasilinear parabolic equations on manifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 11 (2012) no. 4, pp. 857-874. http://www.numdam.org/item/ASNSP_2012_5_11_4_857_0/

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