Abstract
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.
Citation
Hideo Deguchi. "Generalized solutions of nonlinear diffusion equations." Hiroshima Math. J. 32 (1) 125 - 143, March 2002. https://doi.org/10.32917/hmj/1151007645
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