Description
A collection of self contained, state-of-the-art surveys. The
authors have made an effort to achieve readability for
mathematicians and scientists from other fields, for this series
of handbooks to be a new reference for research, learning and
teaching.
Partial differential equations represent one of the most rapidly
developing topics in mathematics. This is due to their numerous
applications in science and engineering on the one hand and to
the challenge and beauty of associated mathematical problems on
the other.
Key features:
- Self-contained volume in series covering one of the most rapid
developing topics in mathematics.
- 7 Chapters, enriched with numerous figures originating from
numerical simulations.
- Written by well known experts in the field.
Contents
1. T. Bartsch, Zhi-Qiang Wang, M. Willem: The Dirichlet problem
for superlinear elliptic equations.
2. B. Dacorogna: Non convex problems of the calculus of
variations and differential inclusions.
3. Y. Du: Bifurcation and related topics in elliptic problems.
4. J. Lopez-Gomez: Metasolutions.
5. J. D. Rossi: Elliptic problems with nonlinear boundary
conditions and the Sobolev trace theorem.
6. G. Rozenblum, M. Melgaard: Schrodinger operators with singular
potentials.
7. S. Solimini: Multiplicity techniques for problems without
compactness.
Bibliographic & ordering Information
Hardbound, ISBN: 0-444-52045-7, 612 pages, publication date: 2005
Description
In the series of volumes which together will constitute the
"Handbook of Differential Geometry" we try to give a
rather complete survey of the field of differential geometry. The
different chapters will both deal with the basic material of
differential geometry and with research results (old and recent).
All chapters are written by experts in the area and contain a
large bibliography. In this second volume a wide range of areas
in the very broad field of differential geometry is discussed, as
there are Riemannian geometry, Lorentzian geometry, Finsler
geometry, symplectic geometry, contact geometry, complex
geometry, Lagrange geometry and the geometry of foliations.
Although this does not cover the whole of differential geometry,
the reader will be provided with an overview of some its most
important areas.
Audience
Researchers, doctoral students and libraries in the field of
Differential geometry, Geometry and Global Analysis - Analysis on
manifolds
Contents
1. Some problems on Finsler Geometry (J.C. Alvarez Paiva). 2. Foliations
(R. Barre, A. El Kacimi). 3. Simplectic Geometry (A. Cannas da Silva).
4. Metric Riemannian Geometry （深谷賢治）. 5. Contact Geometry (H. Geiges).
6. Complex Diferential Geometry (I. Mihai). 7. Compendium on the Geometry
of Lagrange Spaces (R. Miron). 8. Certain Actual Topics on Modern Lorentzian
Geometry (F.J. Palomo, A. Romero).
Bibliographic & ordering Information
Hardbound, ISBN: 0-444-52052-X, 574 pages, publication date: 2006
Audience
Mathematicians, researchers, (post-) graduate students
Contents
1. Optimal Control of Ordinary Differential Equations, (V. Barbu,
C. Lefter).
2. Hamiltonian Systems: Periodic and Homoclinic Solutions by
Variational Methods, (T. Bartsch, A. Szulkin) .
3. Differential Equations on Closed Sets (O. Carja, I.I. Vrabie)
.
4. Monotone Dynamical Systems (M.W. Hirsch, H. Smith) .
5. Planar Periodic Systems of Population Dynamics (J. Lopez-Gomez)
.
6. Nonlocal Initial and Boundary Value Problems: a survey (S.K.
Ntouyas).
Bibliographic & ordering Information
Hardbound, ISBN: 0-444-52027-9, 572 pages, publication date: 2005
Audience
University libraries and Research mathematicians.
Contents
Contents Preface 1. Euler Equations and Related Hyperbolic
Conservations Laws, (G.-Q. Chen). 2. Blow-up of Solutions of
Supercritical Parabolic Equations, (M. Fila). 3. The Boltzmann
Equation and Its Hydrodynamic limits, (F. Golse). 4. Long-Time
Behaviour of Solutions to Hyperbolic Equations with Hysteresis, (P.
Krejci). 5. Mathematical Issues Concerning the Navier-Stokes
Equations and some of their Generalizations, (J. Malek, K.R.
Rajagopal). 6. Evolution of Rate-Independent Systems, (A. Miekle).
7. On the Global Weak Solutions to a Variational Wave Equation, (P.
Zhang, Y. Zheng).
Bibliographic & ordering Information
Hardbound, ISBN: 0-444-52048-1, publication date: 2005
Included in series
North-Holland Mathematics Studies, 200
Description
This book familiarizes both popular and fundamental notions and
techniques from the theory of non-normed topological algebras
with involution, demonstrating with examples and basic results
the necessity of this perspective. The main body of the book is
focussed on the Hilbert-space (bounded) representation theory of
topological *-algebras and their topological tensor products,
since in our physical world, apart from the majority of the
existing unbounded operators, we often meet operators that are
forced to be bounded, like in the case of symmetric *-algebras.
So, one gets an account of how things behave, when the
mathematical structures are far from being algebras endowed with
a complete or non-complete algebra norm. In problems related with
mathematical physics, such instances are, indeed, quite common.
Key features:
- Lucid presentation
- Smooth in reading
- Informative
- Illustrated by examples
- Familiarizes the reader with the non-normed *-world
- Encourages the hesitant
- Welcomes new comers.
Audience
Advanced under graduate students and graduate students,
Researchers, University Libraries.
Contents
Introductio
n. Part I: General Theory. I. Background material. II. Locally C*
-algebras. III. Representation theory. IV. Structure space of an
m* -convex algebra. V. Hermitian and symmetric topological *-algebras.
Part II: Applications. VI. Integral representations. Uniqueness
of topology. VII. Tensor products of topological *-algebras.
Bibliography.
Bibliographic & ordering Information
Hardbound, ISBN: 0-444-52025-2, 512 pages, publication date: 2005