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Functional Analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations

Functional Analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations

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Functional Analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations

Functional Analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations Summary:

 
By Wolfgang Tutschke, H. Florian
  • Publisher:   World Scientific Publishing Company
  • Number Of Pages:   460
  • Publication Date:   2001-12-15
  • ISBN-10 / ASIN:   9810247648
  • ISBN-13 / EAN:   9789810247645
Product Description:

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.

 

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Functional Analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations Keywords

  equations   analysis   partial   differential   functional   complex   problems   mathematical   theory   analytic   methods   applications   interactions   dirichlet   hyperbolic   interesting   clifford   physics   concern   functional analysis   partial differential   differential equations   developed methods   rapid development   complex analysis   mathematical analysis   description functional   complex methods   wolfgang tutschke   partial differential equations

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