Hamilton and Souplet-Zhang type gradient estimate along geometric flow
Filomat, Tome 37 (2023) no. 12, p. 3939
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In this article we derive Hamilton type gradient estimate and Souplet-Zhang type gradient estimate for a generalized weighted parabolic heat equation with potential on a weighted Riemannian manifold evolving by a geometric flow in such a way that the Bakry-Émery Ricci tensor is bounded below.
Classification :
53C21, 35B45
Keywords: Hamilton type gradient estimate, Souplet Zhang, weighted Laplacian, parabolic equation, geometric flow
Keywords: Hamilton type gradient estimate, Souplet Zhang, weighted Laplacian, parabolic equation, geometric flow
Shyamal Kumar Hui; Apurba Saha; Sujit Bhattacharyya. Hamilton and Souplet-Zhang type gradient estimate along geometric flow. Filomat, Tome 37 (2023) no. 12, p. 3939 . doi: 10.2298/FIL2312939H
@article{10_2298_FIL2312939H,
author = {Shyamal Kumar Hui and Apurba Saha and Sujit Bhattacharyya},
title = {Hamilton and {Souplet-Zhang} type gradient estimate along geometric flow},
journal = {Filomat},
pages = {3939 },
year = {2023},
volume = {37},
number = {12},
doi = {10.2298/FIL2312939H},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2312939H/}
}
TY - JOUR AU - Shyamal Kumar Hui AU - Apurba Saha AU - Sujit Bhattacharyya TI - Hamilton and Souplet-Zhang type gradient estimate along geometric flow JO - Filomat PY - 2023 SP - 3939 VL - 37 IS - 12 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2312939H/ DO - 10.2298/FIL2312939H LA - en ID - 10_2298_FIL2312939H ER -
%0 Journal Article %A Shyamal Kumar Hui %A Apurba Saha %A Sujit Bhattacharyya %T Hamilton and Souplet-Zhang type gradient estimate along geometric flow %J Filomat %D 2023 %P 3939 %V 37 %N 12 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2312939H/ %R 10.2298/FIL2312939H %G en %F 10_2298_FIL2312939H
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