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CATEGORIES:Cambridge Analysts' Knowledge Exchange
SUMMARY:Boundary value problems for linear and nonlinear P
DEs: a new\, unified approach - D. Mantzavinos (Un
iversity of Cambridge)
DTSTART;TZID=Europe/London:20120613T160000
DTEND;TZID=Europe/London:20120613T173000
UID:TALK38491AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/38491
DESCRIPTION:While there exist several powerful classical techn
iques for the solution of boundary value problems
for linear PDEs\, such as integral transforms (Fou
rier\, Laplace and variations)\, Green's functions
and\nthe method of images\, there does not exist
a systematic solution\nmethod in the case of nonli
near PDEs. Moreover\, even in the case of\nthe lin
ear problems one often comes across complicated bo
undary\nconditions which are not separable and thu
s cannot be addressed by the aforementioned classi
cal techniques. This talk will be on a new\, unifi
ed approach to boundary value problems for linear
PDEs\, with various types of boundary conditions w
hich are not necessarily separable\, as well as on
its extension to nonlinear PDEs using the concept
of Lax pairs and an appropriate Riemann-Hilbert o
r d-bar formalism.
LOCATION:MR14\, CMS
CONTACT:Marc Briant
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