|
Showing 1 - 2 of
2 matches in All Departments
Although the theory of well-posed Cauchy problems is reasonably
understood, ill-posed problems-involved in a numerous mathematical
models in physics, engineering, and finance- can be approached in a
variety of ways. Historically, there have been three major
strategies for dealing with such problems: semigroup, abstract
distribution, and regularization methods. Semigroup and
distribution methods restore well-posedness, in a modern weak
sense. Regularization methods provide approximate solutions to
ill-posed problems. Although these approaches were extensively
developed over the last decades by many researchers, nowhere could
one find a comprehensive treatment of all three approaches.
Abstract Cauchy Problems: Three Approaches provides an innovative,
self-contained account of these methods and, furthermore,
demonstrates and studies some of the profound connections between
them. The authors discuss the application of different methods not
only to the Cauchy problem that is not well-posed in the classical
sense, but also to important generalizations: the Cauchy problem
for inclusion and the Cauchy problem for second order equations.
Accessible to nonspecialists and beginning graduate students, this
volume brings together many different ideas to serve as a reference
on modern methods for abstract linear evolution equations.
Although the theory of well-posed Cauchy problems is reasonably understood, ill-posed problems-involved in a numerous mathematical models in physics, engineering, and finance- can be approached in a variety of ways. Historically, there have been three major strategies for dealing with such problems: semigroup, abstract distribution, and regularization methods. Semigroup and distribution methods restore well-posedness, in a modern weak sense. Regularization methods provide approximate solutions to ill-posed problems. Although these approaches were extensively developed over the last decades by many researchers, nowhere could one find a comprehensive treatment of all three approaches.
Abstract Cauchy Problems: Three Approaches provides an innovative, self-contained account of these methods and, furthermore, demonstrates and studies some of the profound connections between them. The authors discuss the application of different methods not only to the Cauchy problem that is not well-posed in the classical sense, but also to important generalizations: the Cauchy problem for inclusion and the Cauchy problem for second order equations.
Accessible to nonspecialists and beginning graduate students, this volume brings together many different ideas to serve as a reference on modern methods for abstract linear evolution equations.
|
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
|