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Semigroups of Operators - Theory and Applications - SOTA, Kazimierz Dolny, Poland, September/October 2018 (Paperback, 1st ed. 2020)
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Semigroups of Operators - Theory and Applications - SOTA, Kazimierz Dolny, Poland, September/October 2018 (Paperback, 1st ed. 2020)
Series: Springer Proceedings in Mathematics & Statistics, 325
Expected to ship within 10 - 15 working days
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This book features selected and peer-reviewed lectures presented at
the 3rd Semigroups of Operators: Theory and Applications
Conference, held in Kazimierz Dolny, Poland, in October 2018 to
mark the 85th birthday of Jan Kisynski. Held every five years, the
conference offers a forum for mathematicians using semigroup theory
to discover what is happening outside their particular field of
research and helps establish new links between various
sub-disciplines of semigroup theory, stochastic processes,
differential equations and the applied fields. The book is intended
for researchers, postgraduate and senior students working in
operator theory, partial differential equations, probability and
stochastic processes, analytical methods in biology and other
natural sciences, optimisation and optimal control. The theory of
semigroups of operators is a well-developed branch of functional
analysis. Its foundations were laid at the beginning of the 20th
century, while Hille and Yosida's fundamental generation theorem
dates back to the forties. The theory was originally designed as a
universal language for partial differential equations and
stochastic processes but, at the same time, it started to become an
independent branch of operator theory. Today, it still has the same
distinctive character: it develops rapidly by posing new 'internal'
questions and, in answering them, discovering new methods that can
be used in applications. On the other hand, it is being influenced
by questions from PDE's and stochastic processes as well as from
applied sciences such as mathematical biology and optimal control
and, as a result, it continually gathers new momentum. However,
many results, both from semigroup theory itself and the applied
sciences, are phrased in discipline-specific languages and are
hardly known to the broader community.
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