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  • A system of non-local parabolic PDE and application to option pricing 
    GOSWAMI, ANINDYA; Patel, Jeeten; Shevgaonkar, Poorva (Taylor & Francis, 2016-07)
    This article includes a proof of well posedness of an initial-boundary value problem involving a system of non-local parabolic partial differential equation (PDE), which naturally arises in the study of derivative pricing ...
  • Kahler Geometry with a view towards the Calabi Conjecture 
    VISHNU, N (2020-06)
    Complex manifolds provide a fertile ground for studying Riemannian geometry as well as algebraic geometry. Many complex manifolds admit K¨ahler metrics. K¨ahler metrics are Riemannian metrics which tie in well with the ...
  • The Yamabe Problem 
    VANTIPALLI, RITVIK (2023-05)
    In this thesis, we study the proof of the so-called Yamabe Problem. This problem was proposed by Yamabe in an attempt to solve the Poincaré conjecture eventually. The problem was to prove whether, given any compact Riemannian ...