The wave equation for the $p$-Laplacian
DREHER, Michael
Hokkaido Math. J., Tome 36 (2007) no. 4, p. 21-52 / Harvested from Project Euclid
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We consider generalized wave equations for the $p$--Laplacian and prove the local in time existence of solutions to the Cauchy problem. We give an estimate of the life-span of the solution, and show by a generic　counter-example that global in time solutions can not be expected.
Publié le : 2007-02-15
Classification:  local in time Sobolev solutions,  blow-up in finite time,  weakly hyperbolic equations,  35L80,  35L70 
@article{1285766660,
     author = {DREHER, Michael},
     title = {The wave equation for the $p$-Laplacian},
     journal = {Hokkaido Math. J.},
     volume = {36},
     number = {4},
     year = {2007},
     pages = { 21-52},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1285766660}
}

DREHER, Michael. The wave equation for the $p$-Laplacian. Hokkaido Math. J., Tome 36 (2007) no. 4, pp.  21-52. http://gdmltest.u-ga.fr/item/1285766660/