{"product_id":"weak-solutions-to-gradient-flows-in-metric-measure-spaces-by-jose-m-mazon-9781009741125","title":"Weak Solutions to Gradient Flows in Metric Measure Spaces","description":"\u003cdiv class=\"book-description\"\u003e\n\u003cp\u003eFilling a gap in the literature, this book explores the theory of gradient flows of convex functionals in metric measure spaces, with an emphasis on weak solutions. It is largely self-contained and assumes only a basic understanding of functional analysis and partial differential equations.\u003c\/p\u003e\n\n\u003cp\u003eWith appendices on convex analysis and the basics of analysis in metric spaces, it provides a clear introduction to the topic for graduate students and non-specialist researchers, and a useful reference for anyone working in analysis and PDEs.\u003c\/p\u003e\n\n\u003cp\u003eThe text focuses on several key recent developments and advances in the field, paying careful attention to technical detail. These include how to use a first-order differential structure to construct weak solutions to the \u003cem\u003ep\u003c\/em\u003e-Laplacian evolution equation and the total variation flow in metric spaces, how to show a Euler–Lagrange characterisation of least gradient functions in this setting, and how to study metric counterparts of Cheeger problems.\u003c\/p\u003e\n\u003c\/div\u003e","brand":"Unknown","offers":[{"title":"Default Title","offer_id":47934416716012,"sku":"9781009741125","price":408.0,"currency_code":"NZD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0705\/7784\/8556\/files\/9781009741125-weak-solutions-to-gradient-flows-in-metric-measure-spaces.jpg?v=1783917940","url":"https:\/\/bookhero.pro\/products\/weak-solutions-to-gradient-flows-in-metric-measure-spaces-by-jose-m-mazon-9781009741125","provider":"Book Hero","version":"1.0","type":"link"}