| Contents |
| We consider the Cahn-Hilliard equation with a nonlocal free energy. In contrast to previous works the nonlocal part of the free energy is given by a strongly singular integral kernel, which gives rise to an integro-differential operator similar to a fractional power of the Laplacian. Moreover, the homogenuous free energy density is singular as well. We prove existence of a unique solution for all times and the existence of a global attractor. Finally, we discuss the boundary regularity of the solutions. |
|