Bernard Helffer

Mathematical Physics · 2001–2015

A researcher in the Science corpus: 10 papers; trusts 20 researchers and is trusted by 21 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 44 citations into it; #1,056 of 8,562 by trust here, #1,610 by citations
• Computational Theory and Mathematics — 35 citations into it; #1,340 of 12,182 by trust here, #3,339 by citations
• Applied Mathematics — 24 citations into it; #3,367 of 7,620 by trust here, #3,794 by citations
• Control and Systems Engineering — 16 citations into it
• Statistical and Nonlinear Physics — 9 citations into it; #9,034 of 10,127 by trust here, #8,981 by citations
• Atomic and Molecular Physics, and Optics — 5 citations into it

Whom Bernard Helffer trusts overall

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

1. Monica Conti
2. S. Terracini
3. Gianmaria Verzini
4. Nicolas Burq
5. Francis Nier
6. K. Pravda-Starov
7. Lloyd N. Trefethen
8. E. Davies
9. Dmitry Jakobson
10. Maciej Zworski

Who trusts Bernard Helffer overall

1. Nils Berglund
2. Dorian Le Peutrec
3. Cédric Villani
4. Fabrice Baudoin
5. Frédéric Hérau
6. St'ephane Mischler
7. Veronique Fischer
8. Anton Bovier
9. Jacob Bedrossian
10. Maria Pia Gualdani

Papers from Bernard Helffer's perspective

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

1. A variational problem for the spatial segregation of reaction-diffusion systems
2. The cost of approximate controllability for heat equations: the linear case (Advances in Differential Equations)
3. Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians
4. Null and approximate controllability for weakly blowing up semilinear heat equations
5. On the null-controllability of the heat equation in unbounded domains
6. Spectral problems with mixed Dirichlet-Neumann boundary conditions: isospectrality and beyond
7. Asymptotic estimates for the spatial segregation of competitive systems
8. Carleman estimates for degenerate parabolic operators with applications to null controllability
9. Some new monotonicity theorems with applications to free boundary problems
10. Carleman estimates for one-dimensional degenerate heat equations

Their papers

• Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians (2005) — 354 citations
• Quantitative Analysis of Metastability in Reversible Diffusion Processes Via a Witten Complex Approach: The Case With Boundary (2006) — 86 citations
• From resolvent bounds to semigroup bounds (2010) — 51 citations
• DEGENERATE PARABOLIC OPERATORS OF KOLMOGOROV TYPE WITH A GEOMETRIC CONTROL CONDITION (2015) — 47 citations
• Spectral Theory and its Applications (2013) — 145 citations
• On Spectral Minimal Partitions: A Survey (2010) — 52 citations
• NUMERICAL SIMULATIONS FOR NODAL DOMAINS AND SPECTRAL MINIMAL PARTITIONS (2010) — 62 citations
• Compactness of the solution operator to ∂¯ in weighted L2-spaces☆ (2007) — 47 citations
• Nodal Domains and Spectral Minimal Partitions (2006) — 184 citations
• Magnetic Bottles in Connection with Superconductivity (2001) — 237 citations