I am reading the book of Claes Johnson about Numerical Solution of Partial Differential Equations by the Finite Element Method and particularly pages 34 and 98.
I wrote these notes to my craft
Is the equation (87) really so-called dual space norm $H^{-1}(\Omega)$ of $H_{0}^{1}(\Omega)$?
I need a function $v \in L_2(I)$ that is a piecewise continuous and bounded. How can you write it to this definition? It cannot be to possibly unbounded, as was originally in Johnson, in my case for ECG signal.