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Geometric Properties for Parabolic and Elliptic PDE's

GPPEPDEs, Palinuro, Italy, May 2015

  • Conference proceedings
  • © 2016

Overview

Editors:
  1. Filippo Gazzola

    1. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

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  2. Kazuhiro Ishige

    1. Mathematical Institute, Tohoku University, Sendai, Japan

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  3. Carlo Nitsch

    1. Dip. di Matematica e Applicazioni, Università degli Studi di Napoli Federico II, Monte S. Angelo, Italy

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  4. Paolo Salani

    1. Dipartimento di Matematica Ulisse Dini, Università degli Studi di Firenze, Firenze, Italy

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  • Collects recent research papers by respected experts in the field
  • Discusses the geometric properties of solutions of parabolic and elliptic PDEs in their broader sense
  • Interacts with many other areas of research and utilizes a wide range of mathematical tools and techniques
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 176)

Included in the following conference series:

Conference proceedings info: GPPEPDEs 2015.

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Table of contents (16 papers)

  1. Front Matter

    Pages i-viii
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  2. Estimates for Solutions to Anisotropic Elliptic Equations with Zero Order Term

    • Angela Alberico, Giuseppina di Blasio, Filomena Feo
    Pages 1-15

  3. A Topological Approach to Non-Archimedean Mathematics

    • Vieri Benci, Lorenzo Luperi Baglini
    Pages 17-40

  4. A Note on an Overdetermined Problem for the Capacitary Potential

    • Chiara Bianchini, Giulio Ciraolo
    Pages 41-48

  5. A Note on Some Poincaré Inequalities on Convex Sets by Optimal Transport Methods

    • Lorenzo Brasco, Filippo Santambrogio
    Pages 49-63

  6. Analyticity and Criticality Results for the Eigenvalues of the Biharmonic Operator

    • Davide Buoso
    Pages 65-85

  7. A Remark on an Overdetermined Problem in Riemannian Geometry

    • Giulio Ciraolo, Luigi Vezzoni
    Pages 87-96

  8. A Note on the Scale Invariant Structure of Critical Hardy Inequalities

    • Norisuke Ioku, Michinori Ishiwata
    Pages 97-120

  9. Stability Analysis of Delaunay Surfaces as Steady States for the Surface Diffusion Equation

    • Yoshihito Kohsaka
    Pages 121-148

  10. Littlewood’s Fourth Principle

    • Rolando Magnanini, Giorgio Poggesi
    Pages 149-158

  11. The Phragmèn-Lindelöf Theorem for a Fully Nonlinear Elliptic Problem with a Dynamical Boundary Condition

    • Kazuhiro Ishige, Kazushige Nakagawa
    Pages 159-171

  12. Entire Solutions to Generalized Parabolic k-Hessian Equations

    • Saori Nakamori, Kazuhiro Takimoto
    Pages 173-190

  13. Dynamical Aspects of a Hybrid System Describing Intermittent Androgen Suppression Therapy of Prostate Cancer

    • Kurumi Hiruko, Shinya Okabe
    Pages 191-230

  14. Symmetry Problems on Stationary Isothermic Surfaces in Euclidean Spaces

    • Shigeru Sakaguchi
    Pages 231-239

  15. Improved Rellich Type Inequalities in \({\mathbb {R}}^{N}\)

    • Megumi Sano, Futoshi Takahashi
    Pages 241-255

  16. Solvability of a Semilinear Parabolic Equation with Measures as Initial Data

    • Jin Takahashi
    Pages 257-276

  17. Singular Solutions of the Scalar Field Equation with a Critical Exponent

    • Jann-Long Chern, Eiji Yanagida
    Pages 277-288
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  1. Geometric Properties for Parabolic and Elliptic PDE's

Keywords

About this book

This book collects recent research papers by respected specialists in the field. It presents advances in the field of geometric properties for parabolic and elliptic partial differential equations, an area that has always attracted great attention. It settles the basic issues (existence, uniqueness, stability and regularity of solutions of initial/boundary value problems) before focusing on the topological and/or geometric aspects. These topics interact with many other areas of research and rely on a wide range of mathematical tools and techniques, both analytic and geometric. The Italian and Japanese mathematical schools have a long history of research on PDEs and have numerous active groups collaborating in the study of the geometric properties of their solutions. 

Editors and Affiliations

  • Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Filippo Gazzola

  • Mathematical Institute, Tohoku University, Sendai, Japan

    Kazuhiro Ishige

  • Dip. di Matematica e Applicazioni, Università degli Studi di Napoli Federico II, Monte S. Angelo, Italy

    Carlo Nitsch

  • Dipartimento di Matematica Ulisse Dini, Università degli Studi di Firenze, Firenze, Italy

    Paolo Salani

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