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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