Square roots of elliptic second order divergence operators on strongly lipschitz domains:L2 theory

By P. Auscher, P. Tchamitchian. 2003

64 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/613f9fd4ba46ff4d892d3944ad58304c4ef8521e

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In Applied Mathematics

1. P. Auscher
2. A. Axelsson
3. A. Mcintosh
4. E. Russ
5. S. Hofmann
6. S. Keith
7. Dachun Yang
8. Svitlana Mayboroda

In Mathematical Physics

1. P. Auscher
2. A. Axelsson
3. A. Mcintosh
4. E. Russ
5. S. Keith
6. S. Hofmann
7. J. M. Martell
8. Svitlana Mayboroda

Citations in the corpus

• The Kato Square Root Problem for Mixed Boundary Value Problems (2004, methodology): “ith Dirichlet 1991 Mathematics Subject Classification. 35J25, 47B44, 47F05. 1 2 ANDREAS AXELSSON, STEPHEN KEITH, AND ALAN McINTOSH or Neumann boundary conditions was solved by Auscher and Tchamitchian [6] who reduced the problem to the Kato problem on Rn by using extension maps. As different extension”
• Hardy spaces and divergence operators on strongly Lipschitz domains of Rn (2002, background): “Hence, we have interior and boundary Caccioppoli inequalities (see [5]): for some ρ > 0 and C depending on Ω and ellipticity, ∫”