Nonlinear parabolic problems with a very general quadratic gradient term
Nonlinear parabolic problems with a very general quadratic gradient term
We study existence and regularity of distributional solutions for a class of nonlinear parabolic problems. The equations we consider have a quasi-linear diffusion operator and a lower-order term, which may grow quadratically in the gradient and may have a very fast growth (for instance, exponential) with respect to the solution. …