Skip to content

Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6410 • ODE

Fall 1999 • Question 9

Question

Math 6410 • ODE Fall 1999 • Question 9

Let \(G\subset \mathbb {R}^N\) be an open set. Define what is meant by a distribution on \(G\). Let \(f\in L^2(G)\) be a real function. Show that \(f\) may be identified with a distribution \(T_f\).

Raw LaTeX

Let \(G\subset\R^N\) be an open set. Define what is meant by a distribution on \(G\).
Let \(f\in L^2(G)\) be a real function. Show that \(f\) may be identified with a
distribution \(T_f\).

Topic Tags

Distributions and Weak Solutions