Around the Research of Vladimir Maz'ya II: Partial Differential Equations

Around the Research of Vladimir Maz'ya II: Partial Differential Equations

by Ari Laptev (Editor)

Paperback(2010)

$199.99
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Overview

Topics of this volume are close to scientific interests of Professor Maz'ya and use, directly or indirectly, the fundamental influential Maz'ya's works penetrating, in a sense, the theory of PDEs.

In particular, recent advantages in the study of semilinear elliptic equations, stationary Navier-Stokes equations, the Stokes system in convex polyhedra, periodic scattering problems, problems with perturbed boundary at a conic point, singular perturbations arising in elliptic shells and other important problems in mathematical physics are presented.

Product Details

ISBN-13: 9781461425489
Publisher: Springer New York
Publication date: 02/25/2012
Series: International Mathematical Series , #12
Edition description: 2010
Pages: 386
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Large Solutions to Semilinear Elliptic Equations with Hardy Potential and Exponential Nonlinearity, C. Bandle et al.- Stability Estimates for Resolvents, Eigenvalues, and Eigenfunctions of Elliptic Operators on Variable Domains, G. Barbatis et al.- Operator Pencil in a Domain with Concentrated Masses. A Scalar Analog of Linear Hydrodynamics, G. Chechkin.- Selfsimilar Perturbation near a Corner: Matching Versus Multiscale Expansions for a Model Problem, M. Dauge et al.- Stationary Navier-Stokes Equation on Lipschitz Domains in Riemannian Manifolds with Nonvanishing Boundary Conditions, M. Dindoš.- On the Regularity of Nonlinear Subelliptic Equations, A. Domokos, J.J. Manfredi.- Rigorous and Heuristic Treatment of Sensitive Singular Perturbations Arising in Elliptic Shells, Y.V. Egorov et al.- On the Existence of Positive Solutions of Semilinear Elliptic Inequalities on Riemannian Manifolds, A. Grigor'yan, V.A. Kondratiev.- Recurrence Relations for Orthogonal Polynomials and Algebraicity of Solutions of the Dirichlet Problem, D. Khavinson, N. Stylianopoulos.- On First Neumann Eigenvalue Bounds for Conformal Metrics, G. Kokarev, N. Nadirashvili.- Necessary Condition for the Regularity of a Boundary Point for Porous Medium Equations with Coefficients of Kato Class, V. Liskevich, I.I. Skrypnik.- The Problem of Steady Flow over a Two-Dimensional Bottom Obstacle, O. Motygin, N. Kuznetsov.- Well Posedness and Asymptotic Expansion of Solution of Stokes Equation Set in a Thin Cylindrical Elastic Tube, G.P. Panasenko, R. Stavre.- On Solvability of Integral Equations for Harmonic Single Layer Potential on the Boundary of a Domain with Cusp, S.V. Poborchi.- Holder Estimates for Green's Matrix of the Stokes System in Convex Polyhedra, J. Rossmann.- Boundary Integral Methods for Periodic Scattering Problems, G. Schmidt.- BoundaryCoerciveness and the Neumann Problem for 4th Order Linear Partial Differential Operators, G.C. Verchota.

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