| Autor: |
Bertsch, Michiel, Dal Passo, Roberta, Ughi, Maura |
| Zdroj: |
Annali di Matematica Pura ed Applicata; December 1992, Vol. 161 Issue: 1 p57-81, 25p |
| Abstrakt: |
We give some results about nonuniqueness of the solutions of the Cauchy problem for a class of nonlinear degenerate parabolic equations arising in several applications in biology and physics. This phenomenon is a truly nonlinear one and occurs because of the degeneracy of the equation at the points where u=0. For a given set of values of the parameter involved, we prove that there exists a one parameter family of weak solutions; moreover, restricting the parameter set, nonuniqueness appears even in the class of classical solutions. |
| Databáze: |
Supplemental Index |
| Externí odkaz: |
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