S. Bechtel
4 records found
1
We show Lp-estimates for square roots of second order complex elliptic systems L in divergence form on open sets in Rd subject to mixed boundary conditions. The underlying set is supposed to be locally uniform near the Neumann boundary part, and the Dirichle
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In this paper, we present counterexamples to maximal Lp-regularity for a parabolic PDE. The example is a second-order operator in divergence form with space and time-dependent coefficients. It is well-known from Lions’ theory that such operators admit maximal L2
This book establishes a comprehensive theory to treat square roots of elliptic systems incorporating mixed boundary conditions under minimal geometric assumptions. To lay the groundwork, the text begins by introducing the geometry of locally uniform domains and establishes theory
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We show weighted non-autonomous Lq(Lp) maximal regularity for families of complex second-order systems in divergence form under a mixed regularity condition in space and time. To be more precise, we let p,q∈(1,∞) and we consider coefficient functions in C