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  • © 2013

Geometric Properties for Parabolic and Elliptic PDE's

  • The survey articles provide excellent introductions for interested researchers
  • Potential readers belong to several areas of mathematics
  • The set of original papers covers a wide range of up-to-date and hot topics in the study of PDE's
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer INdAM Series (SINDAMS, volume 2)

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Table of contents (18 chapters)

  1. Front Matter

    Pages I-VIII
  2. The Heart of a Convex Body

    • Lorenzo Brasco, Rolando Magnanini
    Pages 49-66
  3. Sharp Bounds for the p-Torsion of Convex Planar Domains

    • Ilaria Fragalà, Filippo Gazzola, Jimmy Lamboley
    Pages 97-115
  4. Geometric Analysis of Fractional Phase Transition Interfaces

    • Giovanni Franzina, Enrico Valdinoci
    Pages 117-130
  5. Decay Rate of L q Norms of Critical Schrödinger Heat Semigroups

    • Kazuhiro Ishige, Yoshitsugu Kabeya
    Pages 165-178

About this book

The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understood quite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an increasing number of researchers and is now a broad and well-established research area, with contributions that often come from experts from disparate areas of mathematics, such as differential and convex geometry, functional analysis, calculus of variations, mathematical physics, to name a few.

This volume collects a selection of original results and informative surveys by a group of international specialists in the field, analyzes new trends and techniques and aims at promoting scientific collaboration and stimulating future developments and perspectives in this very active area of research.

Editors and Affiliations

  • Dipartimento di Matematica "U. Dini", Università di Firenze, Firenze, Italy

    Rolando Magnanini

  • Graduate School of Information Sciences, Division of Mathematics, Tohoku University, Sendai, Japan

    Shigeru Sakaguchi

  • , Dipartimento di Matematica ed Applicazio, Università di Napoli Federico II, Napoli, Italy

    Angelo Alvino

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access