We show that elliptic second-order operators A of divergence type fulfill maximal parabolic regularity on distribution spaces, even if the underlying domain is highly non-smooth, the coefficients of A are discontinuous and A is complemented with mixed boundary conditions. Applications to quasilinear parabolic equations with non-smooth data are presented.
CITATION STYLE
Haller-Dintelmann, R., & Rehberg, J. (2011). Maximal parabolic regularity for divergence operators on distribution spaces. In Progress in Nonlinear Differential Equations and Their Application (Vol. 80, pp. 313–341). Springer US. https://doi.org/10.1007/978-3-0348-0075-4_17
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