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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6410 • ODE

Fall 1999 • Question 11

Question

Math 6410 • ODE Fall 1999 • Question 11

Let \[ r(t)= \begin {cases} 0, & t\le -1,\\ 1, & -1<t<1,\\ 0, & t\ge 1. \end {cases} \] Think of \(r\) as a distribution on \(\mathbb {R}\) and compute all distributional derivatives of \(r\).

Raw LaTeX

Let
\[
  r(t)=
  \begin{cases}
    0, & t\le -1,\\
    1, & -1<t<1,\\
    0, & t\ge 1.
  \end{cases}
\]
Think of \(r\) as a distribution on \(\R\) and compute all distributional derivatives of
\(r\).

Topic Tags

Distributions and Weak Solutions