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Titlebook: Geometric Partial Differential Equations; Antonin Chambolle,Matteo Novaga,Enrico Valdinoci Conference proceedings 2013 Scuola Normale Supe

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发表于 2025-3-21 18:38:58 | 显示全部楼层 |阅读模式
书目名称Geometric Partial Differential Equations
编辑Antonin Chambolle,Matteo Novaga,Enrico Valdinoci
视频video
概述Presentation of selected topics of current research in geometric partial differential equations.Authors are recognized international experts
丛书名称Publications of the Scuola Normale Superiore
图书封面Titlebook: Geometric Partial Differential Equations;  Antonin Chambolle,Matteo Novaga,Enrico Valdinoci Conference proceedings 2013 Scuola Normale Supe
描述This book is the outcome of a conference held at the Centro De Giorgi of the Scuola Normale of Pisa in September 2012. The aim of the conference was to discuss recent results on nonlinear partial differential equations, and more specifically geometric evolutions and reaction-diffusion equations. Particular attention was paid to self-similar solutions, such as solitons and travelling waves, asymptotic behaviour, formation of singularities and qualitative properties of solutions. These problems arise in many models from Physics, Biology, Image Processing and Applied Mathematics in general, and have attracted a lot of attention in recent years.
出版日期Conference proceedings 2013
关键词calculus of variations; geometric analysis; mathematical analysis; partial differential equations
版次1
doihttps://doi.org/10.1007/978-88-7642-473-1
isbn_softcover978-88-7642-472-4
isbn_ebook978-88-7642-473-1Series ISSN 2239-1460 Series E-ISSN 2532-1668
issn_series 2239-1460
copyrightScuola Normale Superiore 2013
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发表于 2025-3-21 22:53:57 | 显示全部楼层
On general existence results for one-dimensional singular diffusion equations with spatially inhomoic continuous initial datum. The notion of a viscosity solution used here is the same as proposed by Giga, Giga and Rybka, who established a comparison principle. We construct the global-in-time solution by careful adaptation of Perron’s method.
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Maximally localized Wannier functions: existence and exponential localization, localization functional introduced in [22] and we review some rigorous results about the existence and exponential localization of its minimizers, in dimension . ≤ 3. The proof combines ideas and methods from the Calculus of Variations and the regularity theory for harmonic maps between Riemannian manifolds.
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发表于 2025-3-22 08:51:42 | 显示全部楼层
2239-1460 This book is the outcome of a conference held at the Centro De Giorgi of the Scuola Normale of Pisa in September 2012. The aim of the conference was to discuss recent results on nonlinear partial differential equations, and more specifically geometric evolutions and reaction-diffusion equations. Par
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发表于 2025-3-22 19:10:13 | 显示全部楼层
Tanja Adamus,Anke Marks,Alexander Sperl localization functional introduced in [22] and we review some rigorous results about the existence and exponential localization of its minimizers, in dimension . ≤ 3. The proof combines ideas and methods from the Calculus of Variations and the regularity theory for harmonic maps between Riemannian manifolds.
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发表于 2025-3-23 04:00:46 | 显示全部楼层
Flows by powers of centro-affine curvature,dimension (. − 1). This information is exploited in ℝ. to show that these flows shrink any admissible surface to a point and that, up to .(3) transformations, the rescaled images of the evolving surface converge, in the Hausdorff metric, to a ball.
发表于 2025-3-23 08:31:18 | 显示全部楼层
2239-1460 itative properties of solutions. These problems arise in many models from Physics, Biology, Image Processing and Applied Mathematics in general, and have attracted a lot of attention in recent years.978-88-7642-472-4978-88-7642-473-1Series ISSN 2239-1460 Series E-ISSN 2532-1668
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