Advances in Differential Equations and Mathematical Physics: 1997 Georgia Tech-uab International Conference on Differential Equations and Mathematical
By: Evans M. Harrell (editor), etc. (editor), Eric Carlen (editor), Michael Loss (editor)Paperback
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This volume consists of selected contributions from the ""Georgia Institute of Technology-UAB International Conference on Differential Equations and Mathematical Physics"". The book offers a combination of certain emerging topics and important research advances in this active area. The topics range widely and include magnetic Schrodinger operators, the Boltzmann equations, nonlinear variational problems, and noncommutative probability theory. Some articles were included for their aesthetic value and others to present an overview. All articles were reviewed for scientific content and readability. The text is suitable for graduate and advanced graduate courses and seminars on the topic.
A variational method for nonlinear eigenvalue problems by R. D. Benguria and M. C. Depassier Maximum and antimaximum principles for some elliptic problems by J. Fleckinger-Pelle and P. Takac On the nodal line conjecture by M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof, and N. Nadirashvili On fundamental solution of time dependent Schrodinger equations by K. Yajima Laterally coupled quantum waveguides by P. Exner Some mathematical problems in passive advection by A. Kupiainen Stability and instability of relativistic electrons in classical electromagnetic fields by E. H. Lieb A simple one-dimensional model for atoms in strong magnetic fields by R. Brummelhuis and M. B. Ruskai Geometric methods for many-particle Hamiltonians with magnetic fields by G. Zhislin and S. Vugal'ter Linear Boltzmann equation as scaling limit of quantum Lorentz gas by L. Erdos and H.-T. Yau Multiscattering on sparse bumps by S. Molchanov Purely continuous spectrum for generic almost-periodic potential by A. Ya. Gordon Correlated Wegner inequalities for random Schrodinger operators by J. M. Combes, P. D. Hislop, and E. Mourre Logarithmic energy as an entropy functional by D. Petz and F. Hiai.
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- ID: 9780821808610
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