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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6410 • ODE

Fall 2016 • Question 6

Question

Math 6410 • ODE Fall 2016 • Question 6

Green’s integral identity is \[ \int _\Omega (v\nabla ^2u-u\nabla ^2v)d x =\int _{\partial \Omega }(vu_\nu -uv_\nu )d\sigma \] where \(u_\nu \) refers to the outward normal derivative.

Raw LaTeX

Green's integral identity is
\[
  \int_\Omega(v\nabla^2u-u\nabla^2v)\dd x
  =\int_{\partial\Omega}(vu_\nu-uv_\nu)\dd\sigma
\]
where \(u_\nu\) refers to the outward normal derivative.

Topic Tags

Elliptic Equations