Functional-Analytic and Complex Methods,
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Om Functional-Analytic and Complex Methods
Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex analysis has developed methods (such as the theory of generalized analytic functions) for solving very general classes of partial differential equations.This book is aimed at promoting further interactions of functional analysis, partial differential equations, and complex analysis including its generalizations such as Clifford analysis. New interesting problems in the field of partial differential equations concern, for instance, the Dirichlet problem for hyperbolic equations. Applications to mathematical physics address mainly Maxwell's equations, crystal optics, dynamical problems for cusped bars, and conservation laws.Contents: Boundary Value Problems and Initial Value Problems for Partial Differential EquationsApplications of Functional-Analytic and Complex Methods to Mathematical PhysicsPartial Complex Differential Equations in the PlaneComplex Methods in Higher DimensionsReadership: Researchers, lecturers and graduate students in the fields of analysis & differential equations, applied mathematics and mathematical physics.Key Features:This book comprehensively covers the area of half-metallic materials, and discusses both experimental and theoretical methods used to understand and predict the properties of these materialsThis book provides a comprehensive bibliography to facilitate further researchIt is written to serve a varied audience, from students to practising researchers in the field