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SUMMARY:Mohamed Nasser (Wichita State University\, USA)
DTSTART:20230117T140000Z
DTEND:20230117T150000Z
DTSTAMP:20260422T201358Z
UID:CAvid/92
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAvid/92/">A
  boundary integral method for the Riemann–Hilbert problem on multiply co
 nnected domains</a>\nby Mohamed Nasser (Wichita State University\, USA) as
  part of CAvid: Complex Analysis video seminar\n\nLecture held in N/A.\n\n
 Abstract\nLet $G$ be a multiply connected domain in the extended complex p
 lane and let $A$ be a complex function on the boundary $\\partial G$ with 
 $A\\ne0$. \nFor a given real function $\\gamma$ on $\\partial G$\, the Rie
 mann--Hilbert (RH) boundary value problem requires determining a function 
 $f$ analytic in $G$ (vanishing at infinity for unbounded $G$)\, continuous
  in the closure $\\overline{G}$\, and satisfying the boundary condition Re
 $[Af]=\\gamma$ on $\\partial G.$\n\nA boundary integral method for solving
  the above RH problem will be presented in this talk. The method is based 
 on an integral equation known as {the boundary integral equation with the 
 generalized Neumann kernel}. Applications of the method will be also prese
 nted.\n
LOCATION:https://researchseminars.org/talk/CAvid/92/
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