Maximal regularity of discrete and continuous time evolution equations

By Sönke Blunck. 2001

103 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/7043c2ba87fe7af4e878dd8ba3281c4fb31fa9df

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Carlos Lizama
2. Christian Le Merdy
3. Lutz Weis
4. P. Kunstmann
5. Maria Girardi
6. Sönke Blunck
7. Yuri Tomilov
8. J. V. Neerven

In Control and Systems Engineering

1. Carlos Lizama
2. Christian Le Merdy
3. P. Kunstmann
4. Lutz Weis
5. Maria Girardi
6. Stephen Montgomery-Smith
7. Krzysztof Oleszkiewicz
8. Nigel J. Kalton

In Numerical Analysis

1. Carlos Lizama
2. Christian Le Merdy
3. P. Kunstmann
4. Lutz Weis
5. Maria Girardi
6. Yuri Tomilov

Citations in the corpus

• Operator-valued Fourier multiplier theorems on Lp(X) and geometry of Banach spaces (2003, background): “…theorems have had many applications in the theory of evolutions equations, in particular in connection with: maximal regularity of parabolic equations [4, 7, 11, 23, 37, 38], stability theory [17, 26, 36], elliptic operators on infinite dimensional state spaces [3], and pseudo…”
• Operator–valued Fourier multiplier theorems on Besov spaces (2003, background): “…many applications in the theory of evolution equations, in particular, in connection with: maximal regularity of parabolic equations [2, 28, 27, 6, 18, 4], stability theory [29, 15, 20], elliptic operators on infinite dimensional state spaces [1], and pseudo differential operators on manifolds…”
• lp ‐maximal regularity for fractional difference equations on UMD spaces (2015, methodology): “12 ([13]) Let p ∈ (1,∞) and let X be a Banach space.”
• H^\infty functional calculus and square function estimates for Ritt operators (2012, background): “This class was introduced by Blunck [7], [8] as a discrete counterpart of R-sectorial operators.”
• Weighted norm estimates and maximal regularity (2002, methodology): “It was shown in [4] that if T has discrete maximal regularity, then T is analytic in the sense of [11], i.”
• Power‐Bounded Operators and Related Norm Estimates (2002, background): “in the paper by Coulhon and Salo-Coste [9], and also in the papers by Blunck [5], [ 6 ], which give many applications of this condition to maximal regularity problems.”