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An intensive development of the theory of generalized analytic
functions started when methods of Complex Analysis were combined
with methods of Functional Analysis, especially with the concept of
distributional solutions to partial differential equations. The
power of these interactions is far from being exhausted. In order
to promote the further development of the theory of generalized
analytic functions and applications of partial differential
equations to Mechanics, the Technical University of Graz organized
a conference whose Proceedings are contained in the present volume.
The contributions on generalized analytic functions (Part One) deal
not only with problems in the complex plane (boundary value and
initial value problems), but also related problems in higher
dimensions are investigated where both several complex variables
and the technique of Clifford Analysis are used. Part Two of the
Proceedings is devoted to applications to Mechanics. It contains
contributions to a variety of general methods such as L p-methods,
boundary elements and asymptotic methods, and hemivariational
inequalities. A substantial number of the papers of Part Two,
however, deals with problems in Ocean Acoustics. The papers of both
parts of the Proceedings can be recommended to mathematicians,
physicists, and engineers working in the fields mentioned above, as
well as for further reading within graduate studies.
An intensive development of the theory of generalized analytic
functions started when methods of Complex Analysis were combined
with methods of Functional Analysis, especially with the concept of
distributional solutions to partial differential equations. The
power of these interactions is far from being exhausted. In order
to promote the further development of the theory of generalized
analytic functions and applications of partial differential
equations to Mechanics, the Technical University of Graz organized
a conference whose Proceedings are contained in the present volume.
The contributions on generalized analytic functions (Part One) deal
not only with problems in the complex plane (boundary value and
initial value problems), but also related problems in higher
dimensions are investigated where both several complex variables
and the technique of Clifford Analysis are used. Part Two of the
Proceedings is devoted to applications to Mechanics. It contains
contributions to a variety of general methods such as L p-methods,
boundary elements and asymptotic methods, and hemivariational
inequalities. A substantial number of the papers of Part Two,
however, deals with problems in Ocean Acoustics. The papers of both
parts of the Proceedings can be recommended to mathematicians,
physicists, and engineers working in the fields mentioned above, as
well as for further reading within graduate studies.
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