Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss
By T. Coulhon, Xuan Thinh Duong. Advances in Differential Equations, 2000
126 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/4b70259a52180ea94744da19a2428b7747545d2d
How researchers see this paper
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In Applied Mathematics
- Xuan Thinh Duong
- Lixin Yan
- Frédéric Bernicot
- P. Kunstmann
- D. Deng
- Jiman Zhao
- Adam S. Sikora
- Sönke Blunck
In Computational Theory and Mathematics
- P. Kunstmann
- Robert Haller-Dintelmann
- Alf Jonsson
- Dorothee Knees
- Sönke Blunck
- Jiman Zhao
- Frédéric Bernicot
- Joachim Rehberg
In Mathematical Physics
- Lixin Yan
- Xuan Thinh Duong
- P. Kunstmann
- Frédéric Bernicot
- D. Deng
- Sönke Blunck
- Adam S. Sikora
- Jiman Zhao
Citations in the corpus
- Elliptic and parabolic regularity for second‐ order divergence operators with mixed boundary conditions (2013, background): “This, however, has again far-reaching consequences like the independence of the Lp-spectrum of r r from p [21] and maximal parabolic regularity for r r on Lp [22, 23], see also [6].”
- Optimal regularity for elliptic transmission problems including C1 interfaces (2006, background): “The semigroup generated by A2 on L2(Λ) admits upper Gaussian estimates (see [8] or [6]), which implies maximal parabolic regularity on L spaces [30] (see also [18]).”
- Maximal regularity for parabolic equations with inhomogeneous boundary conditions in Sobolev spaces with mixed _{}-norm (2002, background): “Results of maximal regularity type have been established under various conditions ([2], [4], [6], [9]), but always for homogeneous boundary conditions or the Cauchy problem.”
- New Abstract Hardy Spaces (2007, methodology): “For the maximal L regularity, we refer to [11], [14], [13], [16], [26], [28] etc.”
- COMPARISON OF THE CLASSICAL BMO WITH THE BMO SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS (2006, background): “5 of [9], the kernel of the operator v d dv e−vL has Gaussian upper bound (2.”
- Weighted norm estimates and maximal regularity (2002, methodology): “Hence, it is clear that the result of Hieber/Prüss and Coulhon/Duong cannot be applied in situations where the semigroup does not act on all Lp(Ω), 1 ≤ p ≤ ∞.”
- Unique continuation principle for systems of parabolic equations (2010, background): “[2] T. Coulhon and X.T. Duong, Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss.”
- Duality of Hardy and BMO spaces associated with operators with heat kernel bounds on product domains (2005, unknown): “5 of [5].”