Maximal Lp-regularity for Parabolic Equations, Fourier Multiplier Theorems and $H^\infty$-functional Calculus
By P. Kunstmann, Lutz Weis. 2004
422 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/633e3bd5fdf34a62d58fc5b4a920068be138d82d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Mark Veraar
- Carlos Lizama
- J. V. Neerven
- Lutz Weis
- V. Keyantuo
- Quanhua Xu
- Roland Schnaubelt
- M. Meyries
In Computational Theory and Mathematics
- Mark Veraar
- J. V. Neerven
- Carlos Lizama
- M. Meyries
- Roland Schnaubelt
- Mario Kaip
- V. Keyantuo
- Lutz Weis
In Mathematical Physics
- Mark Veraar
- Carlos Lizama
- J. V. Neerven
- Quanhua Xu
- V. Keyantuo
- Roland Schnaubelt
- Marius Junge
- M. Meyries
Citations in the corpus
- H^\infty functional calculus and square function estimates for Ritt operators (2012, background): “We refer the reader to [32] for relevant information.”
- Uniformly gamma-radonifying families of operators and and the stochastic Weiss conjecture (2006, background): “Uniformly γ –radonifying families of operators, R –boundedness, Laplace transforms, stochastic evolution equations, invariant measures, stochastic Weiss conjecture.”
- γ-Radonifying Operators: A Survey (2010, methodology): “The notion of R-boundedness plays an important role in vector-valued harmonic analysis as a tool for proving Fourier multiplier theorems; we refer to Clément, de Pagter, Sukochev, Witvliet [24] and the lecture notes of Denk, Hieber, Prüss [28] and Kunstmann and Weis [68] for an introduction to this ”
- Stochastic maximal Lp-regularity (2010, background): “This approach has proved very fruitful in the setting of deterministic PDEs, as can be seen from the surveys [16, 32].”
- General Parabolic Mixed Order Systems in Lp and Applications (2013, result): “The proofs of the following results can be found in [DHP03] or [KW04].”
- Interpolation, embeddings and traces of anisotropic fractional Sobolev spaces with temporal weights (2012, background): “The latter property is well understood, see [20] and the references therein.”
- Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces (2005, methodology): “We refer to the recent monographs by Denk, Hieber and Prüss [17] and Kunstmann and Weiss [23] for the corresponding developments.”
- Inhomogeneous symbols, the Newton polygon, and maximal Lp-regularity (2008, background): “This difficulty can be overcome by the concept of R-boundedness and R-sectorial operators, see [18], [5].”