Quasilinear parabolic equations with superlinear nonlinearities in critical spaces

Bogdan-Vasile Matioc, Luigi Roberti, Christoph Walker

Well-posedness in time-weighted spaces for quasilinear (and semilinear) parabolic evolution equations $u^{\prime }=A(u)u+f(u)$ is established in a certain critical case of strict inclusion…