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Analysis, Partial Differential Equations and Applications

The Vladimir Maz’ya Anniversary Volume

  • Alberto Cialdea
  • Paolo Emilio Ricci
  • Flavia Lanzara

Part of the Operator Theory: Advances and Applications book series (OT, volume 193)

Table of contents

  1. Front Matter
    Pages i-vi
  2. Alberto Cialdea, Flavia Lanzara, Paolo E. Ricci
    Pages viii-xvii
  3. Yuri Burago, Nikolay N. Kosovsky
    Pages 1-13
  4. James Burnett, Olga Chervova, Dmitri Vassiliev
    Pages 15-29
  5. Christer O. Kiselman
    Pages 97-114
  6. Flavia Lanzara, Gunther Schmidt
    Pages 129-142
  7. Svitlana Mayboroda, Vladimir Maz’ya
    Pages 143-158
  8. S. Molchanov, B. Vainberg
    Pages 197-214
  9. G. Moscariello, A.Passarelli di Napoli, C. Sbordone
    Pages 215-225
  10. David Natroshvili, Zurab Tediashvili
    Pages 227-243
  11. Yehuda Pinchover, Kyril Tintarev
    Pages 245-267
  12. Maria Agostina Vivaldi
    Pages 303-318
  13. W. L. Wendland
    Pages 319-334

About these proceedings

Introduction

This volume includes several invited lectures given at the International Workshop "Analysis, Partial Differential Equations and Applications", held at the Mathematical Department of Sapienza University of Rome, on the occasion of the 70th birthday of Vladimir G. Maz'ya, a renowned mathematician and one of the main experts in the field of pure and applied analysis.

The book aims at spreading the seminal ideas of Maz'ya to a larger audience in faculties of sciences and engineering. In fact, all articles were inspired by previous works of Maz'ya in several frameworks, including classical and contemporary problems connected with boundary and initial value problems for elliptic, hyperbolic and parabolic operators, Schrödinger-type equations, mathematical theory of elasticity, potential theory, capacity, singular integral operators, p-Laplacians, functional analysis, and approximation theory.

Maz'ya is author of more than 450 papers and 20 books. In his long career he obtained many astonishing and frequently cited results in the theory of harmonic potentials on non-smooth domains, potential and capacity theories, spaces of functions with bounded variation, maximum principle for higher-order elliptic equations, Sobolev multipliers, approximate approximations, etc. The topics included in this volume will be particularly useful to all researchers who are interested in achieving a deeper understanding of the large expertise of Vladimir Maz'ya.

Keywords

Boundary value problem analysis calculus functional analysis integral equation maximum principle operator theory partial differential equation

Editors and affiliations

  • Alberto Cialdea
    • 1
  • Paolo Emilio Ricci
    • 2
  • Flavia Lanzara
    • 2
  1. 1.Dipartimento di Matematica e InformaticaUniversità della BasilicataPotenzaItaly
  2. 2.Dipartimento di Matematico “Guido Castelnuovo”Sapienza Università di RomaRomeItaly

Bibliographic information

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