Liouville theorems and elliptic gradient estimates for a nonlinear parabolic equation involving the Witten Laplacian
Keyword(s):
Abstract In this paper, we establish local and global elliptic type gradient estimates for a nonlinear parabolic equation on a smooth metric measure space whose underlying metric and potential satisfy a ( k , m ) {(k,m)} -super Perelman–Ricci flow inequality. We discuss a number of applications and implications including curvature free global estimates and some constancy and Liouville type results.
2019 ◽
Vol 473
(1)
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pp. 297-312
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2012 ◽
Vol 43
(3)
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pp. 209-232
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2013 ◽
Vol 1
(4)
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pp. 437-464
2018 ◽
Vol 159
(3-4)
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pp. 511-547
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2016 ◽
Vol 50
(1)
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pp. 47-64
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