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The Kato Square Root Problem for Mixed B...
Egert, Moritz...
The Kato Square Root Problem for Mixed Boundary Conditions by Egert, Moritz ( Author )
Australian National University
04-08-2023
We consider the negative Laplacian subject to mixed boundary conditions on a bounded domain. We prove under very general geometric assumptions that slightly above the critical exponent $\frac{1}{2}$ its fractional power domains still coincide with suitable Sobolev spaces of optimal regularity. In combination with a reduction theorem recently obtained by the authors, this solves the Kato Square Root Problem for elliptic second order operators and systems in divergence form under the same geometric assumptions.
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Article
pdf
29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1311.0302
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