Herbert Amann

Applied Mathematics · 2000–2019

A researcher in the Science corpus: 13 papers; trusts 19 researchers and is trusted by 50 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 26 citations into it; #224 of 7,620 by trust here, #699 by citations
• Mathematical Physics — 20 citations into it; #345 of 8,562 by trust here, #1,209 by citations
• Computational Theory and Mathematics — 14 citations into it; #2,670 of 12,182 by trust here, #3,681 by citations
• Control and Systems Engineering — 5 citations into it; #252 of 8,257 by trust here, #1,294 by citations
• Numerical Analysis — 5 citations into it

Whom Herbert Amann trusts overall

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

1. Giovanni P. Galdi
2. Robert Denk
3. S. Cano-Casanova
4. Julián López-Gómez
5. Daniel Daners
6. Lutz Weis
7. Matthias Hieber
8. Philippe Clément
9. Shangquan Bu
10. Jan Prüss

Who trusts Herbert Amann overall

1. Michael Winkler
2. M. Meyries
3. Y. Taniuchi
4. Philippe Laurençot
5. Jean-Pierre Raymond
6. Yoshihiro Sawano
7. Ayman Moussa
8. Robert Denk
9. Reinhard Farwig
10. Giovanni P. Galdi

Papers from Herbert Amann's perspective

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

1. Analytic Semigroups and Optimal Regularity in Parabolic Problems
2. Nonhomogeneous Navier—Stokes Equations with Integrable Low—Regularity Data
3. Optimal Lp-Lq-estimates for parabolic boundary value problems with inhomogeneous data
4. Maximal regularity in continuous interpolation spaces and quasilinear parabolic equations
5. Fourier multipliers and problems of elliptic and parabolic type
6. Coagulation-Fragmentation Processes
7. On operator-valued Fourier multipliers
8. Operator–valued Fourier multiplier theorems and maximal $L_p$-regularity
9. Maximal Regularity for Nonautonomous Evolution Equations
10. On the linearization of some singular, nonlinear elliptic problems and applications

Their papers

• Linear parabolic problems involving measures (2001) — 57 citations
• Anisotropic function spaces and maximal regularity for parabolic problems Part 1: Function spaces (2009) — 77 citations
• Maximal Regularity for Nonautonomous Evolution Equations (2004) — 142 citations
• Linear and Quasilinear Parabolic Problems (2019) — 708 citations
• Function spaces on singular manifolds (2011) — 74 citations
• Local and global strong solutions to continuous coagulation–fragmentation equations with diffusion (2005) — 50 citations
• Quasilinear parabolic problems via maximal regularity (2005) — 63 citations
• Maximum Principles and Principal Eigenvalues (2005) — 51 citations
• Semilinear parabolic equations involving measures and low regularity data (2003) — 52 citations
• Nonhomogeneous Navier—Stokes Equations with Integrable Low—Regularity Data (2002) — 62 citations
• Coagulation-Fragmentation Processes (2000) — 80 citations
• On the Strong Solvability of the Navier—Stokes Equations (2000) — 267 citations
• Compact embeddings of vector valued Sobolev and Besov spaces (2000) — 267 citations