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Quasilinear parabolic equations and the Ricci flow on manifolds with boundary
-
Artem Pulemotov
Published/Copyright:
March 2, 2012
Abstract.
The first part of the paper discusses a second-order quasilinear
parabolic equation in a vector bundle over a compact manifold M
with boundary 
. We establish a short-time existence
theorem for this equation. The second part of the paper is devoted
to the investigation of the Ricci flow on M. We propose a new
boundary condition for the flow and prove two short-time existence
results.
Received: 2010-12-29
Revised: 2011-12-08
Published Online: 2012-03-02
Published in Print: 2013-10-01
© 2013 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- Unified approach to the classification of actions of discrete amenable groups on injective factors
- Isoperimetric control of the spectrum of a compact hypersurface
- Weighted divisor sums and Bessel function series. III
- Quasilinear parabolic equations and the Ricci flow on manifolds with boundary
- On the noncommutative Bondal–Orlov conjecture
- Cohomogeneity one actions on symmetric spaces of noncompact type
- Isoparametric functions and exotic spheres
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