Gradient flows in asymmetric metric spaces

DOI10.1016/j.na.2009.05.006zbMath1172.49018OpenAlexW2105477639WikidataQ59902257 ScholiaQ59902257MaRDI QIDQ732613

Marc Oliver Rieger, Isaac Vikram Chenchiah, Johannes Zimmer

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://opus.bath.ac.uk/16519/1/Zimmer_NATMA_2009_71_11_5820.pdf

zbMATH Keywords

gradient flowasymmetric metric spaces

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Nonlinear parabolic equations (35K55) Abstract parabolic equations (35K90) Existence theories for optimal control problems involving partial differential equations (49J20) Variational principles of physics (49S05)

Related Items (7)

An asymmetric Arzelà-Ascoli theorem ⋮ On tight spans for directed distances ⋮ Nonlocal Cross-Interaction Systems on Graphs: Nonquadratic Finslerian Structure and Nonlinear Mobilities ⋮ Gradient flows of time-dependent functionals in metric spaces and applications to PDEs ⋮ Almost isometries of non-reversible metrics with applications to stationary spacetimes ⋮ Quasi-static brittle damage evolution in elastic materials with multiple damaged states ⋮ SOME NEW TYPES OF CONTINUITY IN ASYMMETRIC METRIC SPACES

Cites Work

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• Young measure flow as a model for damage
• Existence results for energetic models for rate-independent systems
• Semi-Lipschitz functions and best approximation in quasi-metric spaces
• A Rate-Independent Model for Inelastic Behavior of Shape-Memory Alloys
• On Quasi-Metric Spaces

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