Abstract
We divide the proof of the main convergence theorems in four steps: first of all, we study a single minimization problem of the scheme (2.0.4); stability estimates are then derived for discrete solutions which yield Proposition 2.2.3 by a compactness argument. Finally, convergence is obtained by combining the a priori energy estimates with the gradient properties of the relaxed slope. We will conclude this section with the proof of Theorem 2.4.15.
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© 2008 Birkhäuser Verlag AG
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(2008). Proofs of the Convergence Theorems. In: Gradient Flows. Lectures in Mathematics ETH Zürich. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8722-8_5
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DOI: https://doi.org/10.1007/978-3-7643-8722-8_5
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8721-1
Online ISBN: 978-3-7643-8722-8
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