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Celebrating the work of renowned mathematician Jerome A. Goldstein,
this reference compiles original research on the theory and
application of evolution equations to stochastics, physics,
engineering, biology, and finance. The text explores a wide range
of topics in linear and nonlinear semigroup theory, operator
theory, functional analysis, and linear and nonlinear partial
differential equations, and studies the latest theoretical
developments and uses of evolution equations in a variety of
disciplines. Providing nearly 500 references, the book contains
discussions by renowned mathematicians such as H. Brezis, G. Da
Prato, N.E. Gretskij, I. Lasiecka, Peter Lax, M. M. Rao, and R.
Triggiani.
This is the first publication which follows an agreement by Kluwer
Publishers with the Caribbean Mathematics Foundation (CMF), to
publish the proceedings of its mathematical activities. To which
one should add a disclaimer of sorts, namely that this volume is
not the first in a series, because it is not first, and be cause
neither party to the agreement construes these publications as
elements of a series. Like the work of CMF, the arrangement between
it and Kluwer Publishers, evolved gradually, empirically. CMF was
created in 1988, and inaugurated with a conference on Ordered
Algebraic Structures. Every year since there have been gatherings
on a variety of mathematical topics: Locales and Topological Groups
in 1989; Positive Operators in 1990; Finite Geometry and Abelian
Groups in 1991; Semigroups of Operators last year. It should be
stressed, however that in preparing for the first conference, there
was no plan which might have augured what came after. One could say
that one thing led to another, and one would be right enough.
This is the first publication which follows an agreement by Kluwer
Publishers with the Caribbean Mathematics Foundation (CMF), to
publish the proceedings of its mathematical activities. To which
one should add a disclaimer of sorts, namely that this volume is
not the first in a series, because it is not first, and be cause
neither party to the agreement construes these publications as
elements of a series. Like the work of CMF, the arrangement between
it and Kluwer Publishers, evolved gradually, empirically. CMF was
created in 1988, and inaugurated with a conference on Ordered
Algebraic Structures. Every year since there have been gatherings
on a variety of mathematical topics: Locales and Topological Groups
in 1989; Positive Operators in 1990; Finite Geometry and Abelian
Groups in 1991; Semigroups of Operators last year. It should be
stressed, however that in preparing for the first conference, there
was no plan which might have augured what came after. One could say
that one thing led to another, and one would be right enough."
Celebrating the work of renowned mathematician Jerome A. Goldstein,
this reference compiles original research on the theory and
application of evolution equations to stochastics, physics,
engineering, biology, and finance. The text explores a wide range
of topics in linear and nonlinear semigroup theory, operator
theory, functional analysis, and linear and nonlinear partial
differential equations, and studies the latest theoretical
developments and uses of evolution equations in a variety of
disciplines. Providing nearly 500 references, the book contains
discussions by renowned mathematicians such as H. Brezis, G. Da
Prato, N.E. Gretskij, I. Lasiecka, Peter Lax, M. M. Rao, and R.
Triggiani.
This volume contains proceedings from the AMS conference on Applied
Analysis held at LSU (Baton Rouge) in April 1996. Topics include
partial differential equations, spectral theory, functional
analysis and operator theory, complex analysis, numerical analysis
and related mathematics. Applications include quantum theory, fluid
dynamics, control theory and abstract issues, such as
well-posedness, asymptotics, and more. The book presents the scope
and depth of the conference and its lectures. The state-of-the-art
surveys by Jerry Bona and Fritz Gesztesy contain topics of wide
interest. There have been a number of good conferences on related
topics, yet this volume offers readers a unique, varied viewpoint.
The scope of the material in the book will benefit readers
approaching the work from diverse perspectives. It will serve those
seeking motivational scientific problems, those interested in
techniques and subspecialties and those looking for current results
in the field.
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