EMS Textbooks in Mathematics
ISBN 978-3-03719-042-5
November 2007, 303 pages, hardcover, 16.5 cm x 23.5 cm.
It is the main aim of this book to develop at an accessible, moderate level an L2 theory for elliptic differential operators of second order on bounded smooth domains in Euclidean n-space, including a priori estimates for boundary-value problems in terms of (fractional) Sobolev spaces on domains and on their boundaries, together with a related spectral theory.
The presentation is preceded by an introduction to the classical theory for the Laplace?Poisson equation, and some chapters providing required ingredients such as the theory of distributions, Sobolev spaces and the spectral theory in Hilbert spaces.
The book grew out of two-semester courses the authors have given several times over a period of ten years at the Friedrich Schiller University of Jena. It is addressed to graduate students and mathematicians who have a working knowledge of calculus, measure theory and the basic elements of functional analysis (as usually covered by undergraduate courses) and who are seeking an accessible introduction to some aspects of the theory of function spaces and its applications to elliptic equations.
Contents
Seminaires et Congres 15 (2007), xvi+332 pages
Benoit Grebert
Birkhoff Normal Form and Hamiltonian PDEs
Frederic Helein
Four lambda stories, an introduction to completely integrable systems
Dragos Iftimie
Large time behavior in perfect incompressible flows
Didier Robert
Propagation of coherent states in quantum mechanics and applications
Wei-Min Wang
Stability of Quantum Harmonic Oscillator under Time Quasi-Periodic Perturbation
Xue Ping Wang
Microlocal estimates of the stationary Schrodinger equation in semi-classical limit
Dong Ye
Some limiting situations for semilinear elliptic equations
Documents Mathematiques 5 (2007), xii+188 pages
Resume :
Les lettres rassemblees dans ce volume portent sur les singularites irregulieres des equations differentielles lineaires: irregularite, developpements asymptotiques, faisceaux de Stokes, analogues Gevrey, problemes de modules, multisommabilite, Galois et sauvage, cycles evanescents, Fourier. Il s'agit pour l'essentiel d'une correspondance echangee entre les auteurs dans la periode 1976-1991. Quatre textes, qui n'avaient jamais ete publies, ont ete adjoints a ces lettres.
Mots clefs : singularites irregulieres, phenomene de Stokes, methodes de sommation, theorie de Galois differentielle, deformations d'equations differentielles, variations de structures de Hodge
Abstract:
Irregular singularities. Correspondence and documents
The letters collected in this volume concern the irregular singularities of linear differential equations: irregularity, asymptotic expansions, Stokes sheaves, Gevrey analogues, moduli problems, multisummability, Galois and wild fundamental groups, vanishing cycles, Fourier transforms. Most of these letters were written by the authors during the period 1976-1991. Four previously unpublished texts have been added to this correspondence.
Key words: irregular singularities, Stokes phenomenon, summation methods, differential Galois theory, moduli of differential equations, variations of Hodge structures
Class. math. : 34Mxx; 12H05, 32G20
ISBN : 978-2-85629-241-9
ISBN: 978-1-57146-164-3
Year Published: 2007
Pages: 146 pages
Binding: Hardcover
Description:
Proceedings of the 13th Gokova Geometry-Topology Conference, held on the shores of Gokova Bay, Turkey, in May of 2006.
Contents:
1.On moduli of pointed real curves of genus zero
O. Ceyhan
2.Moduli spaces of rational tropical curves
G. Mikhalkin
3.Exploded fibrations
B. Parker
4.Asymptotically maximal real algebraic hypersurfaces of projective space
I. Itenberg, O. Viro
5.Deformations of scalar-flat anti-self-dual metrics and quotients of Enriques surfaces
M. Kalafat
6.The Kahler-Ricci flow on Kahler surfaces
J. Song
(Volume 1 of the Series in Actuarial Science)
ISBN: 978-1-57146-168-1
To be released in early January 2008
Pages: approx. 341 pages
Binding: Hardcover
Description:
Life insurance and life annuities are about cash flows, the time value of money, and the randomness of policyholders' death time. This book intends to present the actuarial model as a combination of these three factors. It also describes how to set premiums and reserves for those insurance products.
The subjects are closely related to the Society of Actuaries (SOA) course MLC requirements. Some examples and exercise problems come from past SOA Course 3, Course M, and Course MLC examinations.
Yanyun Zhu, Ph.D. is an assistant professor at the University of Illinois at Urbana-Champaign, where she teaches this subject, and where she developed materials for this book. Dr. Zhu is a Fellow of the Society of Actuaries.