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Ever since the groundbreaking work of J.J. Kohn in the early 1960s, there has been a significant interaction between the theory of partial differential equations and the function theory of several complex variables. Partial Differential Equations and Complex Analysis explores the background and plumbs the depths of this symbiosis.The book is an excellent introduction to a variety of topics and presents many of the basic elements of linear partial differential equations in the context of how they are applied to the study of complex analysis. The author treats the Dirichlet and Neumann problems for elliptic equations and the related Schauder regularity theory, and examines how those results apply to the boundary regularity of biholomorphic mappings. He studies the ?-Neumann problem, then considers applications to the complex function theory of several variables and to the Bergman projection.

517.95 --- Differential equations, Partial --- Mathematical analysis --- Functions of complex variables --- Complex variables --- Elliptic functions --- Functions of real variables --- Advanced calculus --- Analysis (Mathematics) --- Algebra --- Partial differential equations --- Differential equations, Partial. --- Functions of complex variables. --- Mathematical analysis. --- 517.1 Mathematical analysis --- 517.95 Partial differential equations --- 517.1. --- 517.1 --- Problèmes aux limites --- Equations aux derivees partielles --- Equations aux derivees partielles elliptiques --- Fonctions de variables complexes --- Problemes aux limites

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The volume contains the proceedings of the workshop Continuous Advances in QCD 2006, hosted by the Wiliam I Fine Theoretical Physics Institute. This biennial workshop was the seventh meeting of the series, held at the University of Minnesota since 1994. The workshop gathered together about 110 scientists (a record number for the event), including most of the leading experts in quantum chromodynamics and non-Abelian gauge theories in general.

Quantum chromodynamics

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This volume contains the proceedings of the workshop Crossing the Boundaries: Gauge Dynamics at Strong Coupling, hosted by the William I. Fine Theoretical Physics Institute at the University of Minnesota, May 14 - 17, 2009. The workshop honored the 60th birthday of Professor Misha Shifman and his outstanding achievements in the field of gauge dynamics. The meeting attracted a fascinating group of researchers working on the cutting edge of dynamics of gauge theories, including supersymmetric and string theories. Their talks covered a wide area of recent developments in the field.

Gauge fields (Physics) --- String models