Matthias Hieber

Applied Mathematics · 2001–2018

A researcher in the Science corpus: 12 papers; trusts 26 researchers and is trusted by 25 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 79 citations into it; #673 of 7,620 by trust here, #277 by citations
• Mathematical Physics — 57 citations into it; #869 of 8,562 by trust here, #277 by citations
• Computational Theory and Mathematics — 44 citations into it; #2,378 of 12,182 by trust here, #845 by citations
• Control and Systems Engineering — 21 citations into it
• Computational Mechanics — 11 citations into it; #5,582 of 10,001 by trust here, #9,276 by citations

Whom Matthias Hieber trusts overall

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

1. Lutz Weis
2. Jan Prüss
3. Giorgio Metafune
4. Yoshihiro Shibata
5. V. Solonnikov
6. Herbert Amann
7. Jean Bourgain
8. Ken Abe
9. Franck Boyer
10. Yoshikazu Giga

Who trusts Matthias Hieber overall

1. Robert Denk
2. T. Iwabuchi
3. T. Hishida
4. Herbert Amann
5. Yoshihiro Shibata
6. Rico Zacher
7. Jürgen Saal
8. Ken Abe
9. Roland Schnaubelt
10. M. Meyries

Papers from Matthias Hieber's perspective

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

1. Operator–valued Fourier multiplier theorems and maximal $L_p$-regularity
2. Analytic Semigroups and Optimal Regularity in Parabolic Problems
3. Mikhlin's Theorem for Operator–Valued Fourier Multipliers in n Variables
4. 3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity
5. On Nonstationary Stokes Problem and Navier–Stokes Problem in a Half-Space with Initial Data Nondecreasing at Infinity
6. The H ∞ −calculus and sums of closed operators
7. Theory of Function Spaces III
8. AnLq-approach to Stokes and Navier-Stokes equations in general domains
9. The domain of the Ornstein-Uhlenbeck operator on an $L^p$-space with invariant measure
10. On a resolvent estimate of the Stokes equation on an infinite layer

Their papers

• Fourier multipliers and problems of elliptic and parabolic type (2003) — 975 citations
• The Navier-Stokes Equations in ℝn with Linearly Growing Initial Data (2005) — 71 citations
• New thoughts on old results of R.T. Seeley (2004) — 127 citations
• On the Equation div u = g and Bogovskii’s Operator in Sobolev Spaces of Negative Order (2006) — 135 citations
• Stokes Resolvent Estimates in Spaces of Bounded Functions (2012) — 53 citations
• The stokes equation in the Lp-setting: Well-posedness and regularity properties (2018) — 55 citations
• Weak Neumann implies Stokes (2011) — 50 citations
• The Fujita–Kato approach to the Navier–Stokes equations in the rotational framework (2010) — 104 citations
• Maximal Lp – Lq-Estimates for the Stokes Equation: a Short Proof of Solonnikov’s Theorem (2010) — 48 citations
• Optimal Lp-Lq-estimates for parabolic boundary value problems with inhomogeneous data (2007) — 340 citations
• Lp – Lq Estimates for Parabolic Systems in Non‐Divergence Form with VMO Coefficients (2006) — 46 citations
• $ L^p $-Theory of the Stokes equation in a half space (2001) — 144 citations