Session 23. Nonlinear Evolution Equations and their Applications

Maximal parabolic regularity on strange geometries and applications

Joachim Rehberg, Weierstrass Institute, Germany
We prove that maximal parabolic regularity on various functional spaces still holds even in case of mixed boundary conditions, and if the geometry of the underlying domain is strange, i.e. not Lipschitzian. The relevance is underlined by simple examples stemming from heat conduction.
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