A. Axelsson

Applied Mathematics · with Auscher · 2004–2009

A researcher in the Science corpus: 7 papers; trusts 12 researchers and is trusted by 14 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 32 citations into it; #1,287 of 7,620 by trust here, #924 by citations
• Mathematical Physics — 23 citations into it; #1,887 of 8,562 by trust here, #1,209 by citations
• Computational Theory and Mathematics — 6 citations into it; #7,658 of 12,182 by trust here, #6,165 by citations

Whom A. Axelsson trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. P. Auscher
2. S. Hofmann
3. A. Mcintosh
4. S. Keith
5. P. Tchamitchian
6. Michael T. Lacey
7. Carlos E. Kenig
8. Jill Pipher
9. M. Qafsaoui

Who trusts A. Axelsson overall

1. P. Auscher
2. A. Mcintosh
3. Tuomas Hytönen
4. Mihalis Mourgoglou
5. S. Hofmann
6. Pierre Portal
7. J. V. Neerven
8. Ariel Barton
9. Svitlana Mayboroda
10. Robert Haller-Dintelmann

Papers from A. Axelsson's perspective

Ordered by how strongly the researchers A. Axelsson trusts endorse each paper. Same corpus, a different order for every researcher.

1. The solution of the Kato problem in two dimensions
2. The Solution of the Kato Problem for Divergence Form Elliptic Operators with Gaussian Heat Kernel Bounds
3. Quadratic estimates and functional calculi of perturbed Dirac operators
4. The solution of the Kato square root problem for second order elliptic operators on Rn
5. A New Approach to Absolute Continuity of Elliptic Measure, with Applications to Non-symmetric Equations☆
6. Equivalence between Regularity Theorems and Heat Kernel Estimates for Higher Order Elliptic Operators and Systems under Divergence Form
7. The Kato square root problem for higher order elliptic operators and systems on $ \Bbb R^n $
8. On a quadratic estimate related to the Kato conjecture and boundary value problems
9. Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators
10. The Dirichlet problem for elliptic equations with drift terms

Their papers

• The Kato Square Root Problem for Mixed Boundary Value Problems (2004) — 88 citations
• On a quadratic estimate related to the Kato conjecture and boundary value problems (2008) — 88 citations
• Weighted maximal regularity estimates and solvability of non-smooth elliptic systems I (2009) — 129 citations
• Solvability of elliptic systems with square integrable boundary data (2008) — 110 citations
• Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems (2007) — 73 citations
• Analyticity of layer potentials and $L^{2}$ solvability of boundary value problems for divergence form elliptic equations with complex $L^{\infty}$ coefficients (2007) — 114 citations
• Quadratic estimates and functional calculi of perturbed Dirac operators (2004) — 163 citations