Applied Analysis: Proceedings Of A Conference On Applied Analysis, April 19-21, 1996, Baton Rouge, Louisiana (contemporary Mathematics)

This volume contains proceedings from the AMS conference on Applied Analysis held at LSU (Baton Rouge) in April 1996. Topics include partial differential equations, spectral theory, functional analysis and operator theory, complex analysis, numerical analysis and related mathematics. Applications include quantum theory, fluid dynamics, control theory and abstract issues, such as well-posedness, asymptotics, and more. The book presents the scope and depth of the conference and its lectures. The state-of-the-art surveys by Jerry Bona and Fritz Gesztesy contain topics of wide interest. There have been a number of good conferences on related topics, yet this volume offers readers a unique, varied viewpoint. The scope of the material in the book will benefit readers approaching the work from diverse perspectives. It will serve those seeking motivational scientific problems, those interested in techniques and subspecialties and those looking for current results in the field. This Volume Comprises The Proceedings Of A Conference On The Geometric Analysis Of Several Complex Variables Held At Postech In June 1997. The Conference Was Attended By Scientists And Students From Around The Globe. Each Of The Five Plenary Speakers At The Conference Gave A Short Course On A Topic Of Current Interest In The Field. The Lecture Write-ups Contain Cogent And Accessible Information Intended For A Broad Audience. The Volume Also Includes A Tutorial In Several Complex Variables Given By Kim And Krantz At The Conference. This Tutorial Is Geared Toward Helping The Novice To Understand The Rest Of The Material In The Book.--book Jacket. A Crash Course In The Function Theory Of Several Complex Variables / Kang-tae Kim, Steven G. Krantz 3 -- External Rays In The Dynamics Of Polynomial Automorphisms Of C[superscript 2] / Eric Bedford, John Smillie 41 -- G-structures On Irreducible Hermitian Symmetric Spaces Of Rank [greater Than Or Equal] 2 And Deformation Rigidity / Ngaiming Mok 81 -- Value Distribution Theory Of Holomorphic Mappings / Junjiro Noguchi 109 -- Automorphisms Of C[superscript N], A Survey Of Andersen-lemper Theory And Applications / Jean-pierre Rosay 131 -- Convex-like Properties Of The Teichmuller Metric / Marco Abate, Giorgio Patrizio 149 -- The Julia-wolff-caratheodory Theorem(s) / Marco Abate, Roberto Tauraso 161 -- Maximal Ideals In A([omega]) / Ulf Backlund, Anders Fallstrom 173 -- Regularity Of The Complex Monge-ampere Operator / Zbigniew Blocki 181 -- L[superscript P] And H[superscript P] Extensions Of Holomorphic Functions From Subvarieties / Hong Rae Cho 191 -- Global Holomorphic Linearization Of Actions Of Compact Lie Groups On C[superscript N] / Harm Derksen, Frank Kutzschebauch 201 -- Covering Properties Of Holomorphic Mappings / Paul M. Gauthier 211 -- On The Relations Between The Holomorphic Extendability Theorems And The Finiteness Properties / Atsushi Hayashimoto 219 -- Moduli Space Of Ramified Holomorphic Coverings Of B[superscript 2] / Kang-tae Kim, Andrea F. Spiro 227 -- A Sufficient Condition For Solvability Of The Dirichlet Problem For The Complex Monge-ampere Operator / Slawomir Kolodziej 241 -- [gamma]-invariant Polynomials And Proper Maps / Mario Landucci 245 -- A Simple Proof Of Uniqueness For Perturbations Of The Mizohata Operator / Jean-pierre Rosay 253. Kang-tae Kim, Steven G. Krantz, Editors. Held At The Pohang University Of Science And Technology In Pohang, Korea--pref. Includes Bibliographical References. This volume comprises the proceedings of a conference on the geometric analysis of several complex variables held at POSTECH in June 1997. The conference was attended by scientists and students from around the globe. Each of the five plenary speakers at the conference gave a short course on a topic of current interest in the field. The lecture write-ups contain cogent and accessible information intended for a broad audience. The volume also includes a tutorial in several complex variables given by Kim and Krantz at the conference. This tutorial is geared toward helping the novice to understand the rest of the material in the book. The bibliographies of the papers give students and young mathematicians a valuable resource for future learning on the topic. This book provides a substantial overview on areas of current activity. Required background for understanding the text is a solid undergraduate education in mathematics and familiarity with first-year graduate studies in real and complex analysis. Some exposure to geometry would be helpful. The book is also suitable for use as a supplemental course text. Concentration Compactness And The Stability Of Solitary-wave Solutions To Nonlocal Equations / John P. Albert -- Estimates For Green's Function In Terms Of Asymmetry / Tilak Bhattacharya And Allen Weitsman -- A Generalized Korteweg-de Vries Equation In A Quarter Plane / Jerry L. Bona And Laihan Luo -- An Inverse Function Theorem / Alfonso Castro And J. W. Neuberger -- Toward A Characterization Of Elliptic Solutions Of Hierarchies Of Soliton Equations / F. Gesztesy And R. Weikard -- Regularity Of The Value Function For Constrained Optimization Problems / Kevin A. Grasse And Jonathan R. Bar-on -- On Perturbations Of Dominated Semigroups / Vitali Liskevich And Amir Manavi -- On Some Nonlinear Dispersive Equations / Mi Ai Park -- On Perturbation Theory For Linear Elliptic And Parabolic Operators; The Method Of Nash / Yu. A. Semenov. J. Robert Dorroh ... [et Al.], Editors. Papers Presented At Sessions Of The Southeastern Regional Meeting Of The American Mathematical Society. Includes Bibliographical References. Comprises the proceedings of a conference on the geometric analysis of several complex variables held at POSTECH in June 1997. The title includes a tutorial in several complex variables. It requires an undergraduate education in mathematics and familiarity with first-year graduate studies in real and complex analysis.