Bounded Solutions to Nonlinear Parabolic Equations

Abstract EN

We deal with existence results for nonlinear parabolic equations with general quadratic gradient terms and with absorption term which depend on the solution.

We note that no boundedness is assumed on the data of the problem.

We prove an existence result of distributional solution via test-function method.

A priori estimates and compactness arguments are our main ingredient; the method of sub-supersolution does not apply her.