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Approaches to Singular Analysis A Volume of Advances in Partial Differential Equations 1st Edition ISBN 3764365188 9783764365189

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Approaches to Singular Analysis A Volume of Advances in Partial Differential Equations 1st Edition J. Seiler (Auth.) Digital Instant Download

Author(s): J. Seiler (auth.), Juan B. Gil, Daniel Grieser, Matthias Lesch (eds.)
ISBN(s): 9783764365189, 3764365188
Edition: 1
File Details: PDF, 8.80 MB
Year: 2001
Language: english
SKU: EB-4210128 Category: Tags: , , ,

Approaches to Singular Analysis A Volume of Advances in Partial Differential Equations 1st Edition by J Seiler, Juan B Gil, Daniel Grieser, Matthias Lesch – Ebook PDF Instant Download/Delivery: 3764365188, 9783764365189
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ISBN 10:  3764365188 
ISBN 13: 9783764365189
Author: J Seiler, Juan B Gil, Daniel Grieser, Matthias Lesch

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.

Approaches to Singular Analysis A Volume of Advances in Partial Differential Equations 1st Table of contents:

  1. Front Matter (Preface, Introduction, etc.)

  2. The Cone Algebra and a Kernel Characterization of Green Operators (J. Seiler) — pp. 1–29

  3. Basics of the b-Calculus (Daniel Grieser) — pp. 30–84

  4. A Short Introduction to Boutet de Monvel’s Calculus (Elmar Schrohe) — pp. 85–116

  5. Singular Asymptotics Lemma and Push–Forward Theorem (Daniel Grieser & Michael J. Gruber) — pp. 117–130

  6. Pseudodifferential Analysis on Manifolds with Boundary — A Comparison of b-Calculus and Cone Algebra (R. Lauter & J. Seiler) — pp. 131–166

  7. Operator Algebras with Symbol Hierarchies on Manifolds with Singularities (B.-W. Schulze) — pp. 167–207

  8. The Resolvent Expansion on Singular Spaces (Jochen Brüning) — pp. 208–233

  9. A General Index Formula on Toric Manifolds with Conical Points (Boris Fedosov, B.-W. Schulze & Nikolai Tarkhanov) — pp. 234–256

  10. Back Matter (Appendices, references, index) — p. 257

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Tags: J Seiler, Juan B Gil, Daniel Grieser, Matthias Lesch, Singular Analysis, Partial Differential