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 Which boundary conditions lead to existence and uniqueness of a second order PDE

ID: which-boundary-conditions-lead-to-existence-and-uniqueness-of-a-second-order-pde

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Which boundary conditions lead to existence and uniqueness of a second order PDE by Ciro Santilli 37 Updated 2025-07-16
www.cns.gatech.edu/~predrag/courses/PHYS-6124-12/StGoChap6.pdf 6.1 "Classification of PDE's" clarifies which boundary conditions are needed for existence and uniqueness of each type of second order of PDE:
  • elliptic partial differential equation and parabolic partial differential equation: Dirichlet boundary condition or Neumann boundary condition
  • hyperbolic partial differential equation: Cauchy boundary condition
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