Very weak solutions of linear elliptic PDEs with singular data and irregular coefficients
Very weak solutions of linear elliptic PDEs with singular data and irregular coefficients
In this article it is shown that linear elliptic PDEs admit very weak solutions for rather singular data -like non-integrable right hand sides or singular Neumann boundary conditionsnot only in case of continuous coefficients, but even for general bounded measurable coefficients.This is rather astonishing, as under such weak assumptions on …