Mathematics – Analysis of PDEs
Scientific paper
2011-05-25
Mathematics
Analysis of PDEs
30 pages, 2 figures
Scientific paper
We consider the heat operator on spaces with complete and incomplete edge
metrics. We establish its mapping properties, recovering and extending the
classical results from smooth manifolds and conical spaces. The estimates yield
short-time existence of solutions to certain semilinear parabolic equations.
Our discussion reviews and generalizes the earlier work by Jeffres and Loya.
Bahuaud Eric
Dryden Emily B.
Vertman Boris
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