Local boundedness for weak solutions to strongly degenerate orthotropic parabolic equations

Pasquale Ambrosio, Simone Ciani

We prove the local boundedness of local weak solutions to the parabolic equation \[ \partial_{t}u\,=\,\sum_{i=1}^{n}\partial_{x_{i}}\left[(\vert u_{x_{i}}\vert-δ_{i})_{+}^{p-1}\fra…