ENGLISH

Recent Advances in Differential Equations and Mathematical Physics

By Ian W. Knowles , Roger T. Lewis , Nikolai Chernov , Yulia Karpeshina , Rudi Weikard (ed.)

Book information

Publisher
American Mathematical Society
Year
2006
ISBN
0821838407, 978-0-8218-3840-2, 21-1998-571-5, 28-1997-669-7, 11-2004-285-2, 0-12-585004-2, 26-1984-163-1
LCC
QC20.7.D5 I572 2005
Language
english
Format
DJVU
Filesize
3 MB (3521522 bytes)
Series
Contemporary Mathematics 412
Pages
354\354
Library
kolxoz
DPI
600
Time added
2014-09-15 03:20:09

Description

This book brings together both new material and recent surveys on some topics in differential equations that are either directly relevant to, or closely associated with, mathematical physics. Its topics include asymptotic formulas for the ground-state energy of fermionic gas, renormalization ideas in quantum field theory from perturbations of the free Hamiltonian on the circle, $J$-self adjoint Dirac operators, spectral theory of Schrodinger operators, inverse problems, isoperimetric inequalities in quantum mechanics, Hardy inequalities, and non-adiabatic transitions. Excellent survey articles on Dirichlet-Neumann inverse problems on manifolds (by Uhlmann), numerical investigations associated with Laplacian eigenvalues on planar regions (by Trefethen), Snell's law and propagation of singularities in the wave equation (by Vasy), and random operators on tree graphs (by Aizenmann) make this book interesting and valuable for graduate students, young mathematicians, and physicists alike

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