Generalized solutions of nonlinear diffusion equations
Deguchi, Hideo
Hiroshima Math. J., Tome 32 (2002) no. 3, p. 125-143 / Harvested from Project Euclid
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We investigate generalized solutions of nonlinear diffusion equations in the sense of Colombeau and extend the results of Biagioni and Oberguggenberger [2] to more general equations. We prove the existence and uniqueness of a generalized solution which is shown to be consistent with the classical solution.
Publié le : 2002-03-14
Classification:  35K57,  35D05,  46F30 
@article{1151007645,
     author = {Deguchi, Hideo},
     title = {Generalized solutions of nonlinear diffusion equations},
     journal = {Hiroshima Math. J.},
     volume = {32},
     number = {3},
     year = {2002},
     pages = { 125-143},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1151007645}
}

Deguchi, Hideo. Generalized solutions of nonlinear diffusion equations. Hiroshima Math. J., Tome 32 (2002) no. 3, pp.  125-143. http://gdmltest.u-ga.fr/item/1151007645/