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SUMMARY:Boundary value problems for linear and nonlinear PDEs: a new\, uni
 fied approach - D. Mantzavinos (University of Cambridge)
DTSTART:20120613T150000Z
DTEND:20120613T163000Z
UID:TALK38491@talks.cam.ac.uk
CONTACT:Marc Briant
DESCRIPTION:While there exist several powerful classical techniques for th
 e solution of boundary value problems for linear PDEs\, such as integral t
 ransforms (Fourier\, Laplace and variations)\, Green's functions and\nthe 
 method of images\, there does not exist a systematic solution\nmethod in t
 he case of nonlinear PDEs. Moreover\, even in the case of\nthe linear prob
 lems one often comes across complicated boundary\nconditions which are not
  separable and thus cannot be addressed by the aforementioned classical te
 chniques. This talk will be on a new\, unified approach to boundary value 
 problems for linear PDEs\, with various types of boundary conditions which
  are not necessarily separable\, as well as on its extension to nonlinear 
 PDEs using the concept of Lax pairs and an appropriate Riemann-Hilbert or 
 d-bar formalism.
LOCATION:MR14\, CMS
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