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  • Conference proceedings
  • © 2009

Analysis, Partial Differential Equations and Applications

The Vladimir Maz'ya Anniversary Volume

Birkhäuser
  • 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)

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • ISBN: 978-3-7643-9898-9
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Hardcover Book USD 219.99
Price excludes VAT (USA)

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Table of contents (22 papers)

  1. Front Matter

    Pages i-vi
  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. Frozen History: Reconstructing the Climate of the Past

    • Christer O. Kiselman
    Pages 97-114
  6. Cubature of Integral Operators by Approximate Quasi-interpolation

    • Flavia Lanzara, Gunther Schmidt
    Pages 129-142
  7. Pointwise Estimates for the Polyharmonic Green Function in General Domains

    • Svitlana Mayboroda, Vladimir Maz’ya
    Pages 143-158
  8. On Negative Spectrum of Schrödinger Type Operators

    • S. Molchanov, B. Vainberg
    Pages 197-214
  9. ACL-homeomorphisms in the Plane

    • G. Moscariello, A.Passarelli di Napoli, C. Sbordone
    Pages 215-225
  10. Crack Problems for Composite Structures

    • David Natroshvili, Zurab Tediashvili
    Pages 227-243
  11. On Positive Solutions of p-Laplacian-type Equations

    • Yehuda Pinchover, Kyril Tintarev
    Pages 245-267

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.

Keywords

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

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

Bibliographic Information

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • ISBN: 978-3-7643-9898-9
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Hardcover Book USD 219.99
Price excludes VAT (USA)