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SUMMARY:Larisa Beilina (Chalmers & GU)
DTSTART:20250203T121500Z
DTEND:20250203T130000Z
DTSTAMP:20260417T004649Z
UID:cam/62
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/cam/62/">Opt
 imization approach for solution of parabolic inverse source problem using 
 partial boundary measurements</a>\nby Larisa Beilina (Chalmers & GU) as pa
 rt of CAM seminar\n\nLecture held in MV:L14.\n\nAbstract\nWe will  present
  optimization approach for determination of the spatially distributed sour
 ce function in the parabolic PDE using partial boundary measurements.\n\nI
 n this talk we will:\n1) Present Lagrangian approach for solution of optim
 ization problem and derive optimality conditions.\n\n2) Prove that the reg
 ularized Tikhnov functional is Frechet differentiable and establish the\ne
 xistence and uniqueness of the solution for the inverse problem when\nthe 
 set of admissible data is bounded.\n\n3) Establish a local stability estim
 ate for the unknown source term.\n\n4) Present numerical examples in 2D wi
 th noisy data.\n
LOCATION:https://researchseminars.org/talk/cam/62/
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