Mikayelyan, Hayk New monotonicity formulas for the curve shortening flow in \(\mathbb{R}^3\). (English) Zbl 1536.53183 Ann. Mat. Pura Appl. (4) 202, No. 6, 2985-3004 (2023). MSC: 53E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chan, Pak-Yeung; Ma, Zilu; Zhang, Yongjia A local Sobolev inequality on Ricci flow and its applications. (English) Zbl 1517.53082 J. Funct. Anal. 285, No. 5, Article ID 109995, 36 p. (2023). Reviewer: Huansong Zhou (Wuhan) MSC: 53E20 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Ao On the entropy of parabolic Allen-Cahn equation. (English) Zbl 1480.53108 Interfaces Free Bound. 23, No. 3, 421-432 (2021). MSC: 53E10 35K57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kunikawa, Keita On Ecker’s local integral quantity at infinity for ancient mean curvature flows. (English) Zbl 1451.53122 Ann. Global Anal. Geom. 58, No. 3, 253-266 (2020). MSC: 53E10 53A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ding, Qi Minimal cones and self-expanding solutions for mean curvature flows. (English) Zbl 1432.53133 Math. Ann. 376, No. 1-2, 359-405 (2020). MSC: 53E10 53A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Afuni, Ahmad Heat ball formulæ for \(k\)-forms on evolving manifolds. (English) Zbl 1415.58016 Adv. Calc. Var. 12, No. 2, 135-156 (2019). Reviewer: Zdzisław Dzedzej (Gdansk) MSC: 58J35 35B05 35K55 53C07 53C44 58E20 58E15 × Cite Format Result Cite Review PDF Full Text: DOI
Afuni, Ahmad Local energy inequalities for mean curvature flow into evolving ambient spaces. (English) Zbl 1435.53065 Manuscr. Math. 158, No. 3-4, 317-343 (2019). MSC: 53E10 35B05 35K55 58J35 58C99 × Cite Format Result Cite Review PDF Full Text: DOI
Wheeler, Glen; Wheeler, Valentina-Mira Mean curvature flow with free boundary outside a hypersphere. (English) Zbl 1378.53079 Trans. Am. Math. Soc. 369, No. 12, 8319-8342 (2017). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 53C44 58J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Afuni, Ahmad Local monotonicity for the Yang-Mills-Higgs flow. (English) Zbl 1338.35020 Calc. Var. Partial Differ. Equ. 55, No. 1, Paper No. 13, 14 p. (2016). MSC: 35B05 53C07 53C44 81T13 35C06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colding, Tobias Holck; Minicozzi, William P. II; Pedersen, Erik Kjær Mean curvature flow. (English) Zbl 1442.53064 Bull. Am. Math. Soc., New Ser. 52, No. 2, 297-333 (2015). MSC: 53E10 × Cite Format Result Cite Review PDF Full Text: DOI
Brendle, Simon A sharp bound for the area of minimal surfaces in the unit ball. (English) Zbl 1266.53009 Geom. Funct. Anal. 22, No. 3, 621-626 (2012). Reviewer: Magdalena Daniela Toda (Lubbock) MSC: 53A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Smoczyk, Knut Mean curvature flow in higher codimension: introduction and survey. (English) Zbl 1247.53004 Bär, Christian (ed.) et al., Global differential geometry. Berlin: Springer (ISBN 978-3-642-22841-4/hbk; 978-3-642-22842-1/ebook). Springer Proceedings in Mathematics 17, 231-274 (2012). Reviewer: Isabel Salavessa (Lisboa) MSC: 53-02 53C44 53C25 53C20 53C38 53D12 53C24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ma, Li; Song, Xianfa; Zhao, Lin New monotonicity formulae for semi-linear elliptic and parabolic systems. (English) Zbl 1226.35048 Chin. Ann. Math., Ser. B 31, No. 3, 411-432 (2010). Reviewer: Ki-Bong Nam (Whitewater) MSC: 35J91 35Q56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ecker, Klaus; Knopf, Dan; Ni, Lei; Topping, Peter Local monotonicity and mean value formulas for evolving Riemannian manifolds. (English) Zbl 1170.35050 J. Reine Angew. Math. 616, 89-130 (2008). Reviewer: Christine Guenther (Forest Grove) MSC: 35K55 53C44 35B05 58J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Calle, Maria Bounding dimension of ambient space by density for mean curvature flow. (English) Zbl 1092.53051 Math. Z. 252, No. 3, 655-668 (2006). Reviewer: Alberto Parmeggiani (Bologna) MSC: 53C44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ecker, Klaus Local monotonicity formulas for some nonlinear diffusion equations. (English) Zbl 1119.35026 Calc. Var. Partial Differ. Equ. 23, No. 1, 67-81 (2005). MSC: 35K57 53C44 58J35 × Cite Format Result Cite Review PDF Full Text: DOI