Around the research of Vladimir Maz'ya Funciton spaces, PDEs, analysis, and applications

Research articles and surveys from world-recognized mathematicians cover large areas in Analysis where the contributions of Prof. Maz'ya are fundamental, influential, and/or pioneering. Recent advantages in the study of Sobolev type spaces, PDEs and important boundary value problems in mathematical physics, spectral problems, asymptotic expansions, various actual problems in Analysis and applications are presented. Archive photos and List of references to Maz'ya's works companion the collection. Professor Maz'ya has received numerous awards for his outstanding contributions, in particular, the Humboldt Research Prize (1999), the Verdaguer Prize of the French Academy of Sciences (2003) He was elected to the Royal Society of Edinburgh (2001) and the Royal Swedish Academyof Sciences (2002) Several international conferences were organised for the occasion of his 60th birthday There are several collections of papers honored Prof. Maz'ya. Prof. Maz'ya published more than 20 monographs and more than 450 articles. The range of his interests is very wide and many of his results playa key role in many areas of analysis and PDEs. Nevertheless, the presented volume is absolutely different from all published books honored V. Maz'ya: It focuses on the current state of research in analysis, PDEs and function theory, detailing recent advances, selected in relation to Mazy’as results. All the results are new and never published earlier The mentioned collections present proceedings of conferences in honor of V. Maz'ya and contributors are participants of these conferences. In this volume contributors and contributions were selected in accordance with the main idea of the volume INDICE: Around the Research of Vladimir Maz'ya IFunction SpacesDistributions with Slow Tails and Ergodicity of Markov Semigroups in Infinite Dimensions.- On Some Aspects of the Theory of Orlicz-Sobolev Spaces.- Mellin Analysis of Weighted Sobolev Spaces with Nonhomogeneous Norms on Cones.- Optimal Hardy-Sobolev-Maz'ya Inequalities with Multiple Interior Singularities.- Sharp Fractional Hardy Inequalities in Half-Spaces.- Collapsing Riemannian Metrics to Sub-Riemannian Ones and the Geometry of Hypersurfaces in Carnot Groups.- Sobolev Homeomorphisms and Composition Operators.- Extended Lp Dirichlet Spaces.- Characterizations for the Hardy Inequality.- On First Neumann Eigenvalue Bounds for Conformal Metrics.- Geometric Properties of Planar BV-Extension Domains.- On a New Characterization of Besov Spaces with Negative Exponents.- Isoperimetric Hardy Type and Poincare Inequalities on Metric Spaces.- A Converse to Maz'ya's Inequality for Capacities under Curvature Lower Bound.- Gauge Functions and Sobolev Inequalities on Fluctuating Domains.- Pseudo-Poincare Inequalities and Applications to Sobolev Inequalities. Around the Research of Vladimir Maz'ya IIPartial Differential EquationsLarge Solutions to Semilinear Elliptic Equationswith 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 Analogof Linear Hydrodynamics.- Selfsimilar Perturbation near a Corner: Matching Versus Multiscale Expansions for a Model Problem.- Stationary Navier-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.- Necessary Condition for the Regularity of a Boundary Point for Porous Medium Equations with Coefficients of Kato Class.- TheProblem 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.- Hölder Estimates for Green'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. Around the Research of Vladimir Maz'ya IIIAnalysis and ApplicationsOptimal Control of a Biharmonic Obstacle Problem.- Minimal Thinness and Beurling's Minimum Principle.- Progress in the Problem of Lp-Contractivity of Semigroups for Partial Differential Operators.- Uniqueness and Nonuniqueness in Inverse Hyperbolic Problems and the Black Hole Phenomenon.- Global Green's Function Estimates.- On Spectral Minimal Partitions: the Case of the Sphere.- Recurrence Relations for OrthogonalPolynomials and Algebraicity of Solutions of the Dirichlet Problem.- WeightedSobolev Space Estimates for a Class of Singular Integral Operators.- On general Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities.- Estimates for the Counting Function of the Laplace Operator on Domains with Rough Boundaries.- W2,p-Theory of the Poincaré Problem.- Weighted Inequalities for Integral and Supremum Operators.- Finite Rank Toeplitz Operators in the Bergman Space.- Resolvent Estimates for Non-Selfadjoint Operators via Semigroups.- The p-Faber-Krahn Inequality Noted.

• ISBN: 978-1-4419-1346-3
• Editorial: Springer
• Encuadernacion: Desconocida
• Páginas: 1200
• Fecha Publicación: 01/11/2009
• Nº Volúmenes: 1
• Idioma: Inglés