@inproceedings{05767def6cef43b187aa249b3bac54a8,

title = "Highly oscillatory partial differential equations",

abstract = "Partial differential equations with highly oscillatory solutions occur in many areas of science like quantum mechanics and acoustics, with important spin-offs to semiconductors, nanotechnology and low-temperature physics. These equations pose a great challenge to mathematical and numerical analysis. Recently a new mathematical technique has been developed to treat highly oscillatory PDEs, namely Wigner transforms. They allow deep new insights into high-frequency asymptotics. The state-of-the-art is reported here, with emphasis on applications like quantum semiconductor devices and Bose-Einstein condensation.",

author = "Markowich, {Peter A.} and Christof Sparber",

year = "2004",

language = "English (US)",

isbn = "0898715598",

series = "Applied Mathematics Entering the 21st Century: Invited Talks from the ICIAM 2003 Congress",

pages = "288--312+xii",

editor = "J.M. Hill and R. Moore",

booktitle = "Applied Mathematics Entering the 21st Century",

note = "Applied Mathematics Entering the 21st Century: Invited Talks from theICIAM 2003 Congress ; Conference date: 07-07-2004 Through 11-07-2004",

}