|
Showing 1 - 4 of
4 matches in All Departments
This monograph gives a systematic account of the theory of
vector-valued Laplace transforms, ranging from representation
theory to Tauberian theorems. In parallel, the theory of linear
Cauchy problems and semigroups of operators is developed completely
in the spirit of Laplace transforms. Existence and uniqueness,
regularity, approximation and above all asymptotic behaviour of
solutions are studied. Diverse applications to partial differential
equations are given. The book contains an introduction to the
Bochner integral and several appendices on background material. It
is addressed to students and researchers interested in evolution
equations, Laplace and Fourier transforms, and functional analysis.
The second edition contains detailed notes on the developments in
the last decade. They include, for instance, a new characterization
of well-posedness of abstract wave equations in Hilbert space due
to M. Crouzeix. Moreover new quantitative results on asymptotic
behaviour of Laplace transforms have been added. The references are
updated and some errors have been corrected.
This monograph gives a systematic account of the theory of
vector-valued Laplace transforms, ranging from representation
theory to Tauberian theorems. In parallel, the theory of linear
Cauchy problems and semigroups of operators is developed completely
in the spirit of Laplace transforms. Existence and uniqueness,
regularity, approximation and above all asymptotic behaviour of
solutions are studied. Diverse applications to partial differential
equations are given. The book contains an introduction to the
Bochner integral and several appendices on background material. It
is addressed to students and researchers interested in evolution
equations, Laplace and Fourier transforms, and functional analysis.
The second edition contains detailed notes on the developments in
the last decade. They include, for instance, a new characterization
of well-posedness of abstract wave equations in Hilbert space due
to M. Crouzeix. Moreover new quantitative results on asymptotic
behaviour of Laplace transforms have been added. The references are
updated and some errors have been corrected.
GA1/4nter Lumer was an outstanding mathematician whose work has
great influence on the research community in mathematical analysis
and evolution equations. He was at the origin of the breath-taking
development the theory of semigroups saw after the pioneering book
of Hille and Phillips of 1957. This volume contains invited
contributions presenting the state of the art of these topics and
reflecting the broad interests of GA1/4nter Lumer.
|
You may like...
Loot
Nadine Gordimer
Paperback
(2)
R398
R330
Discovery Miles 3 300
Loot
Nadine Gordimer
Paperback
(2)
R398
R330
Discovery Miles 3 300
|