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A Class of Parabolic Equations Driven by the Mean Curvature Flow
Published online by Cambridge University Press: 30 August 2018
Abstract
We study a class of parabolic equations which can be viewed as a generalized mean curvature flow acting on cylindrically symmetric surfaces with a Dirichlet condition on the boundary. We prove the existence of a unique solution by means of an approximation scheme. We also develop the theory of asymptotic stability for solutions of general parabolic problems.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 62 , Issue 1 , February 2019 , pp. 135 - 163
- Copyright
- Copyright © Edinburgh Mathematical Society 2018