On the $$\mathrm {L}^p$$-theory for second-order elliptic operators in divergence form with complex coefficients-Reference-Cited by-同舟云学术

On the $$\mathrm {L}^p$$-theory for second-order elliptic operators in divergence form with complex coefficients

Published:2021-06-18 Issue:4 Volume:21 Page:3963-4003
ISSN:1424-3199
Container-title:Journal of Evolution Equations
language:en
Short-container-title:J. Evol. Equ.

Author:

ter Elst A. F. M.,Haller-Dintelmann R.,Rehberg J.,Tolksdorf P.

Funder

Marsden Fund

Agence Nationale de la Recherche

Publisher

Springer Science and Business Media LLC

Subject

Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1007/s00028-021-00711-4.pdf

Reference51 articles.

1. W. Arendt and A. F. M. ter Elst: Gaussian estimates for second order elliptic operators with boundary conditions. J. Operator Theory 38 (1997), 87–130.

2. K. Astala, D. Faraco, and L. Székelyhidi Jr.: Convex integration and the $$L^p$$ theory of elliptic equations. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 7 (2008), no. 1, 1–50.

3. P. Auscher: Regularity theorems and heat kernels for elliptic operators. J. London Math. Soc. (2) 54 (1996), 284–296.

4. P. Auscher: On necessary and sufficient conditions for $$L^p$$-estimates of Riesz transforms associated to elliptic operators on $${\mathbb{R}}^n$$ and related estimates. Mem. Amer. Math. Soc. 186 (2007), no. 871.

5. P. Auscher, N. Badr, R. Haller-Dintelmann, and J. Rehberg: The square root problem for second-order, divergence form operators with mixed boundary conditions on $$L^p$$. J. Evol. Equ. 15 (2015), no. 1, 165–208.

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Gaussian estimates vs. elliptic regularity on open sets;Mathematische Annalen;2024-09-10

2. On semigroup maximal operators associated with divergence-form operators with complex coefficients;Journal of Differential Equations;2024-06

3. Generation of semigroups associated to strongly coupled elliptic operators in Lp(Rd;Rm);Journal of Differential Equations;2024-02

4. Euclidean Structures and Operator Theory in Banach Spaces;Memoirs of the American Mathematical Society;2023-08

5. A survey of functional and Lp-dissipativity theory;Bulletin of Mathematical Sciences;2022-02-26