Unit:
Τομέας Άλγεβρας ΓεωμετρίαςLibrary of the School of Science
Dissertation committee:
Xριστόδουλος Αθανασιάδης Καθηγητής
Original Title:
Προβλήματα κυματικής διάδοσης και σκέδασης.
Translated title:
Problems of wave propagation and scattering.
Summary:
This work is organized as follows:
In Chapter 1 we list the functional spaces and operators needed in this work.
In Chapter 2 we recall some technical results needed to set a proper
mathematical framework and refer the spectral forms of curl operator on
interior and exterior domain.
In Chapter 3 we formulate the interior and exterior DBF problem in order to get
a second order Cauchy problem of the form u (t)=Au(t). Next we establish the
well- posedness of this problem in a proper Hilbert space.
In Chapter 4 we formulate the interior and exterior Tellegen problem in order
to get a second order Cauchy problem of the form u (t)-Au (t)+αA^2 u(t)=0 .
Next we establish the well-posedness of this problem in a proper Hilbert space.
In Chapter 5 we formulate the interior and exterior Post problem in order to
get a second order Cauchy problem of the form u (t)-iAu (t)+(αiA)^2 u(t)=0.
Next we establish the well-posedness of this problem in a proper Hilbert space.
In Chapter 6 we formulate the interior and exterior Condon problem in order to
get a second order Cauchy problem of the form u (t)=Au(t).
Keywords:
Chiral media, Constitutive relations, Unbounded Operators, Second order Caychy problems, Semigroups
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