Existence and asymptotic behavior of a parabolic equation with L1 data
Lourdes Moreno-Mérida, Maria Michaela Porzio · Asymptotic Analysis · 2019
We study a parabolic equation with the data and the coefficient of zero order term only summable functions. Despite all this lack of regularity we prove that there exists a solution which becomes immediately bounded. Moreover, we study the asymptotic behavior of this solution in the autonomous case showing that the constructed solution tends to the associate stationary solution.