Analysis, Partial Differential Equations and Applications : The Vladimir Maz'ya Anniversary Volume - Alberto Cialdea

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Analysis, Partial Differential Equations and Applications

The Vladimir Maz'ya Anniversary Volume

By: Alberto Cialdea (Editor), Flavia Lanzara (Editor), Paolo Emilio Ricci (Editor)

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Hardcover | 18 September 2009

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356 Pages

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22.86 x 15.88 x 2.54

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_{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, Schroedinger-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.}

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On the Occasion of the 70th Birthday of Vladimir Maz'ya	p. ix
Boundary Trace for BV Functions in Regions with Irregular Boundary	p. 1
Dirac Equation as a Special Case of Cosserat Elasticity	p. 15
Hölder and Lipschitz Estimates for Viscosity Solutions of Some Degenerate Elliptic PDE's	p. 31
Criteria for the Lp-dissipativity of Partial Differential Operators	p. 41
Sharp Estimates for Nonlinear Potentials and Applications	p. 57
Solvability Conditions for a Discrete Model of Schrödinger's Equation	p. 65
An Algebra of Shift-invariant Singular Integral Operators with Slowly Oscillating Data and Its Application to Operators with a Carleman Shift	p. 81
Frozen History: Reconstructing the Climate of the Past	p. 97
Multidimensional Harmonic Functions Analogues of Sharp Real-part Theorems in Complex Function Theory	p. 115
Cubature of Integral Operators by Approximate Quasi-interpolation	p. 129
Pointwise Estimates for the Polyharmonic Green Function in General Domains	p. 143
On Elliptic Operators in Nondivergence and in Double Divergence Form	p. 159
On the Well-posedness of the Dirichlet Problem in Certain Classes of Nontangentially Accessible Domains	p. 171
On Negative Spectrum of Schrödinger Type Operators	p. 197
ACL-homeomorphisms in the Plane	p. 215
Crack Problems for Composite Structures	p. 227
On Positive Solutions of p-Laplacian-type Equations	p. 245
Mixed Boundary Value Problems for Stokes and Navier-Stokes Systems in Polyhedral Domains	p. 269
On Some Classical Operators of Variable Order in Variable Exponent Spaces	p. 281
Irregular Conductive Layers	p. 303
On the Double Layer Potentialc	p. 319
Table of Contents provided by Ingram. All Rights Reserved.

Analysis, Partial Differential Equations and Applications

The Vladimir Maz'ya Anniversary Volume

At a Glance

Hardcover

Shipping

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Defective items

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