Special Session 103: Elliptic, parabolic problems and functional inequalities

On a class of non-coercive elliptic and parabolic equations

Gioconda G. Moscariello
University of Naples Federico II
Italy
Co-Author(s):    
Abstract:
We present existence and regularity results to convection-diffusion elliptic and parabolic equations with singular coefficients in the convective term. Our operator is not coercive and the coefficients in the lower order term belong to a borderline Marcinkiewicz space. The obstacle problems for this class of equations is also addressed. In the parabolic setting, the obstacle function has irregular time-dependence.