Functional-analytic and complex methods, their interactions, and applications to partial differential equations : proceedings of the international Graz workshop, Graz, Austria, 12-16 February 2001 / editors, H. Florian ... [et al.].

Format:

Book

Contributor:

Florian, Helmut.

Language:

English

Subjects (All):

Differential equations, Partial--Congresses.

Differential equations, Partial.

Functional analysis--Congresses.

Functional analysis.

Physical Description:

1 online resource (473 p.)

Edition:

1st ed.

Place of Publication:

River Edge, New Jersey : World Scientific, c2001.

Language Note:

English

Summary:

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 int

Contents:

CONTENTS ; 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

Integral transforms method in the conjugation problems of electromagnetic fields

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9786611934491

9781281934499

1281934496

9789812794550

9812794557

OCLC:

815752329