Functional-Analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations : Proceedings of the International Graz Workshop.

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 t...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Florian, Helmut (Editor ), Etc (Editor ), Tutschke, W. (Editor ), Ortner, N. (Editor ), Schnitzer, F. J. (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: World Scientific 2001.
Temas:
Differential equations, Partial > Congresses.
Functional analysis > Congresses.
Équations aux dérivées partielles > Congrès.
Analyse fonctionnelle > Congrès.
Differential equations, Partial
Functional analysis
Conference papers and proceedings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface ; 1 Boundary value problems and initial value problems for partial differential equations ; Hyperbolic equations, waves and the singularity theory; On the regularity of solutions of the first boundary problem for higher order hyperbolic differential equations ; Zeilon's operator and lacunae.
  • Representation of the Stokes potential in divergence form On spectra of the operator rotor ; Algebraic properties of potential differential and pseudodifferential operators ; The method of weighted function spaces for solving initial value and boundary value problems.
  • The optimization of fixed-point methods Principle of Telethoscope ; Isometric mappings and the problem of A.D. Aleksandrov for conservative distances ; Natural metrics of differential equations (abstract) ; Embedding theorems in anisotropic functional spaces (abstract).
  • Distributional analysis of boundary value problems in half-spaces-exemplifled by Melan's problem of elastostatics (abstract) Bäcklund transformations and nonlinear evolution equations (ABSTRACT); Nonlinear perturbations of systems of partial differential equations (ABSTRACT).
  • Partial differential equations and cubature formulas (ABSTRACT) 2 Applications of functional-analytic and complex methods to mathematical physics ; Conservation laws for differential equations ; Applied quatemionic analysis. Maxwell's system and Dirac's equation.

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