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A variational principle for gradient flows in metric spaces

✍ Scribed by Riccarda Rossi; Giuseppe Savaré; Antonio Segatti; Ulisse Stefanelli


Book ID
116389956
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
138 KB
Volume
349
Category
Article
ISSN
1631-073X

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Global attractors for gradient flows in
✍ Riccarda Rossi; Antonio Segatti; Ulisse Stefanelli 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 367 KB

We develop the long-time analysis for gradient flow equations in metric spaces. In particular, we consider two notions of solutions for metric gradient flows, namely energy and generalized solutions. While the former concept coincides with the notion of curves of maximal slope of Ambrosio et al. (20