2 papers
math.AP2025
Diffuse measures and nonlinear parabolic equations
Francesco Petitta, Augusto C. Ponce, Alessio Porretta
Given a parabolic cylinder , where is a bounded domain, we prove new properties of solutions of \[ u_t-Î_p u = μ\quad \text{in } \…
math.AP2025
A representation formula for the distributional normal derivative
Augusto C. Ponce, Nicolas Wilmet
We prove an integral representation formula for the distributional normal derivative of solutions of $$ \left\{ \begin{aligned} - Îu + V u &= μ&& \text{in ,}\\ u &= 0 && \tex…