Diffuse measures and nonlinear parabolic equations

Francesco Petitta, Augusto C. Ponce, Alessio Porretta

Given a parabolic cylinder $Q=(0,T)\times \Omega$, where $\Omega \subset {\mathbb{R}}^N$ is a bounded domain, we prove new properties of solutions of \[ u_t-Δ_p u = μ\quad \text{in $Q$} \] wi…