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Analysis, Partial Differential Equations and Applications

The Vladimir Maz'ya Anniversary Volume

  • Conference proceedings
  • © 2009

Overview

Editors:
  1. Alberto Cialdea

    1. Dipartimento di Matematica e Informatica, Università della Basilicata, Potenza, Italy

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  2. Paolo Emilio Ricci

    1. Dipartimento di Matematico “Guido Castelnuovo”, Sapienza Università di Roma, Rome, Italy

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  3. Flavia Lanzara

    1. Dipartimento di Matematico “Guido Castelnuovo”, Sapienza Università di Roma, Rome, Italy

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  • Dedicated to the 70th birthday of Vladimir G. Maz'ya
  • Contributions by top-notch researchers in the fields of interest of V.G. Maz'ya
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (22 papers)

  1. Front Matter

    Pages i-vi
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  2. On the Occasion of the 70th Birthday of Vladimir Maz’ya

    • Alberto Cialdea, Flavia Lanzara, Paolo E. Ricci
    Pages viii-xvii

  3. Boundary Trace for BV Functions in Regions with Irregular Boundary

    • Yuri Burago, Nikolay N. Kosovsky
    Pages 1-13

  4. Dirac Equation as a Special Case of Cosserat Elasticity

    • James Burnett, Olga Chervova, Dmitri Vassiliev
    Pages 15-29

  5. Hölder and Lipschitz Estimates for Viscosity Solutions of Some Degenerate Elliptic PDE’s

    • Italo Capuzzo Dolcetta
    Pages 31-40

  6. Criteria for the L p-dissipativity of Partial Differential Operators

    • Alberto Cialdea
    Pages 41-56

  7. Sharp Estimates for Nonlinear Potentials and Applications

    • Andrea Cianchi
    Pages 57-64

  8. Solvability Conditions for a Discrete Model of Schrödinger’s Equation

    • Michael Frazier, Igor Verbitsky
    Pages 65-80

  9. An Algebra of Shift-invariant Singular Integral Operators with Slowly Oscillating Data and Its Application to Operators with a Carleman Shift

    • Yu. I. Karlovich
    Pages 81-95

  10. Frozen History: Reconstructing the Climate of the Past

    • Christer O. Kiselman
    Pages 97-114

  11. Multidimensional Harmonic Functions Analogues of Sharp Real-part Theorems in Complex Function Theory

    • Gershon Kresin
    Pages 115-128

  12. Cubature of Integral Operators by Approximate Quasi-interpolation

    • Flavia Lanzara, Gunther Schmidt
    Pages 129-142

  13. Pointwise Estimates for the Polyharmonic Green Function in General Domains

    • Svitlana Mayboroda, Vladimir Maz’ya
    Pages 143-158

  14. On Elliptic Operators in Nondivergence and in Double Divergence Form

    • Robert McOwen
    Pages 159-169

  15. On the Well-posedness of the Dirichlet Problem in Certain Classes of Nontangentially Accessible Domains

    • Dorina Mitrea, Marius Mitrea
    Pages 171-195

  16. On Negative Spectrum of Schrödinger Type Operators

    • S. Molchanov, B. Vainberg
    Pages 197-214

  17. ACL-homeomorphisms in the Plane

    • G. Moscariello, A.Passarelli di Napoli, C. Sbordone
    Pages 215-225

  18. Crack Problems for Composite Structures

    • David Natroshvili, Zurab Tediashvili
    Pages 227-243

  19. On Positive Solutions of p-Laplacian-type Equations

    • Yehuda Pinchover, Kyril Tintarev
    Pages 245-267

  20. Mixed Boundary Value Problems for Stokes and Navier-Stokes Systems in Polyhedral Domains

    • Jürgen Rossmann
    Pages 269-280
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Keywords

About this book

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.

Editors and Affiliations

  • Dipartimento di Matematica e Informatica, Università della Basilicata, Potenza, Italy

    Alberto Cialdea

  • Dipartimento di Matematico “Guido Castelnuovo”, Sapienza Università di Roma, Rome, Italy

    Paolo Emilio Ricci, Flavia Lanzara

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