Mathematics – Analysis of PDEs
Scientific paper
2010-07-12
Mathematics
Analysis of PDEs
20 pages
Scientific paper
We study quasilinear evolutionary partial integro-differential equations of second order which include time fractional $p$-Laplace equations of time order less than one. By means of suitable energy estimates and De Giorgi's iteration technique we establish results asserting the global boundedness of appropriately defined weak solutions of these problems. We also show that a maximum principle is valid for such equations.
Vergara Vicente
Zacher Rico
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