Ari Laptev 
Around the Research of Vladimir Maz’ya II [PDF ebook] 
Partial Differential Equations

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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.

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Table of Content

Large Solutions to Semilinear Elliptic Equations with Hardy Potential and Exponential Nonlinearity.- Stability Estimates for Resolvents, Eigenvalues, and Eigenfunctions of Elliptic Operators on Variable Domains.- Operator Pencil in a Domain with Concentrated Masses. A Scalar Analog of Linear Hydrodynamics.- Selfsimilar Perturbation near a Corner: Matching Versus Multiscale Expansions for a Model Problem.- Stationary Navier#x2013;Stokes Equation on Lipschitz Domains in Riemannian Manifolds with Nonvanishing Boundary Conditions.- On the Regularity of Nonlinear Subelliptic Equations.- Rigorous and Heuristic Treatment of Sensitive Singular Perturbations Arising in Elliptic Shells.- On the Existence of Positive Solutions of Semilinear Elliptic Inequalities on Riemannian Manifolds.- Recurrence Relations for Orthogonal Polynomials and Algebraicity of Solutions of the Dirichlet Problem.- On First Neumann Eigenvalue Bounds for Conformal Metrics.- Necessary Condition for the Regularity of a Boundary Point for Porous Medium Equations with Coefficients of Kato Class.- The Problem of Steady Flow over a Two-Dimensional Bottom Obstacle.- Well Posedness and Asymptotic Expansion of Solution of Stokes Equation Set in a Thin Cylindrical Elastic Tube.- On Solvability of Integral Equations for Harmonic Single Layer Potential on the Boundary of a Domain with Cusp.- H#x00F6;lder Estimates for Green#x2019;s Matrix of the Stokes System in Convex Polyhedra.- Boundary Integral Methods for Periodic Scattering Problems.- Boundary Coerciveness and the Neumann Problem for 4th Order Linear Partial Differential Operators.
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Language English ● Format PDF ● Pages 386 ● ISBN 9781441913432 ● File size 3.8 MB ● Editor Ari Laptev ● Publisher Springer New York ● City NY ● Country US ● Published 2009 ● Downloadable 24 months ● Currency EUR ● ID 2149953 ● Copy protection Social DRM

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