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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.
Mantegazza, Carlo 1 ; Martinazzi, Luca 2
@article{ASNSP_2012_5_11_4_857_0,
author = {Mantegazza, Carlo and Martinazzi, Luca},
title = {A note on quasilinear parabolic equations on manifolds},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {857--874},
publisher = {Scuola Normale Superiore, Pisa},
volume = {Ser. 5, 11},
number = {4},
year = {2012},
mrnumber = {3060703},
zbl = {1272.35123},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ASNSP_2012_5_11_4_857_0/}
}
TY - JOUR AU - Mantegazza, Carlo AU - Martinazzi, Luca TI - A note on quasilinear parabolic equations on manifolds JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2012 SP - 857 EP - 874 VL - 11 IS - 4 PB - Scuola Normale Superiore, Pisa UR - http://geodesic.mathdoc.fr/item/ASNSP_2012_5_11_4_857_0/ LA - en ID - ASNSP_2012_5_11_4_857_0 ER -
%0 Journal Article %A Mantegazza, Carlo %A Martinazzi, Luca %T A note on quasilinear parabolic equations on manifolds %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2012 %P 857-874 %V 11 %N 4 %I Scuola Normale Superiore, Pisa %U http://geodesic.mathdoc.fr/item/ASNSP_2012_5_11_4_857_0/ %G en %F ASNSP_2012_5_11_4_857_0
Mantegazza, Carlo; Martinazzi, Luca. A note on quasilinear parabolic equations on manifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 11 (2012) no. 4, pp. 857-874. http://geodesic.mathdoc.fr/item/ASNSP_2012_5_11_4_857_0/
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