Superlinear Parabolic Problems: Blow-up, Global Existence and Steady States: Birkhäuser Advanced Texts Basler Lehrbücher
Autor Pavol Quittner, Philippe Soupleten Limba Engleză Hardback – 15 aug 2007
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Specificații
ISBN-13: 9783764384418
ISBN-10: 3764384417
Pagini: 600
Dimensiuni: 170 x 250 x 38 mm
Greutate: 1.04 kg
Ediția:2007
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria Birkhäuser Advanced Texts Basler Lehrbücher
Locul publicării:Basel, Switzerland
ISBN-10: 3764384417
Pagini: 600
Dimensiuni: 170 x 250 x 38 mm
Greutate: 1.04 kg
Ediția:2007
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria Birkhäuser Advanced Texts Basler Lehrbücher
Locul publicării:Basel, Switzerland
Public țintă
ResearchCuprins
Preliminaries.-
Model
Elliptic
Problems.-
Model
Parabolic
Problems.-
Systems.-
Equations
with
Gradient
Terms.-
Nonlocal
Problems.
Recenzii
From
the
reviews:
“This book was written by two authors who in the past have made numerous substantial contributions to this field … . A list of applicable tricks, tools and techniques proves very helpful. Quittner and Souplet have opened their fat bag and let the reader profit from their large collection of methods described in this appendix. …The authors have put a lot of hard work into this book, and their efforts have certainly paid off. … recommended to anyone interested in this important and extensive field.” (R. Sperb, Zeitschrift für angewandte Mathematik und Physik, Vol. 60, 2009)
“This book was written by two authors who in the past have made numerous substantial contributions to this field … . A list of applicable tricks, tools and techniques proves very helpful. Quittner and Souplet have opened their fat bag and let the reader profit from their large collection of methods described in this appendix. …The authors have put a lot of hard work into this book, and their efforts have certainly paid off. … recommended to anyone interested in this important and extensive field.” (R. Sperb, Zeitschrift für angewandte Mathematik und Physik, Vol. 60, 2009)
Textul de pe ultima copertă
This
book
is
devoted
to
the
qualitative
study
of
solutions
of
superlinear
elliptic
and
parabolic
partial
differential
equations
and
systems.
This
class
of
problems
contains,
in
particular,
a
number
of
reaction-diffusion
systems
which
arise
in
various
mathematical
models,
especially
in
chemistry,
physics
and
biology.
The first two chapters introduce to the field and enable the reader to get acquainted with the main ideas by studying simple model problems, respectively of elliptic and parabolic type. The subsequent three chapters are devoted to problems with more complex structure; namely, elliptic and parabolic systems, equations with gradient depending nonlinearities, and nonlocal equations. They include many developments which reflect several aspects of current research. Although the techniques introduced in the first two chapters provide efficient tools to attack some aspects of these problems, they often display new phenomena and specifically different behaviors, whose study requires new ideas. Many open problems are mentioned and commented.
The book is self-contained and up-to-date, it has a high didactic quality. It is devoted to problems that are intensively studied but have not been treated so far in depth in the book literature. The intended audience includes graduate and postgraduate students and researchers working in the field of partial differential equations and applied mathematics.
The first two chapters introduce to the field and enable the reader to get acquainted with the main ideas by studying simple model problems, respectively of elliptic and parabolic type. The subsequent three chapters are devoted to problems with more complex structure; namely, elliptic and parabolic systems, equations with gradient depending nonlinearities, and nonlocal equations. They include many developments which reflect several aspects of current research. Although the techniques introduced in the first two chapters provide efficient tools to attack some aspects of these problems, they often display new phenomena and specifically different behaviors, whose study requires new ideas. Many open problems are mentioned and commented.
The book is self-contained and up-to-date, it has a high didactic quality. It is devoted to problems that are intensively studied but have not been treated so far in depth in the book literature. The intended audience includes graduate and postgraduate students and researchers working in the field of partial differential equations and applied mathematics.
Caracteristici
Self-contained
and
up-to-date,
taking
special
care
on
the
didactical
preparation
of
the
material
Devoted to problems that are intensively studied but have not been treated so far in depth in the book literature
Devoted to problems that are intensively studied but have not been treated so far in depth in the book literature
Descriere
This
book
is
devoted
to
the
qualitative
study
of
solutions
of
superlinear
elliptic
and
parabolic
partial
differential
equations
and
systems.
The
book
is
self-contained
and
up-to-date,
taking
special
care
on
the
didactical
preparation
of
the
material.