We consider the Cauchy problem for the one-dimensional Perona- Malik equation with homogeneous Neumann boundary conditions. We prove that the set of initial data for which this equation has a local- in-time classical solution is dense in C^1.
A class of local classical solutions for the one dimensional Perona - Malik equation
GHISI, MARINA;GOBBINO, MASSIMO
2009-01-01
Abstract
We consider the Cauchy problem for the one-dimensional Perona- Malik equation with homogeneous Neumann boundary conditions. We prove that the set of initial data for which this equation has a local- in-time classical solution is dense in C^1.File in questo prodotto:
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