L p -L q estimates of solutions to the damped wave equation in 3-dimensional space and their application

2003 ◽  
Vol 244 (3) ◽  
pp. 631-649 ◽  
Author(s):  
Kenji Nishihara
2009 ◽  
Author(s):  
Xiu Jianjuan ◽  
Li Yuli ◽  
He You ◽  
Wang Guohong

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Tomoya Miura ◽  
Shun Maeta

Abstract We show that any triharmonic Riemannian submersion from a 3-dimensional space form into a surface is harmonic. This is an affirmative partial answer to the submersion version of the generalized Chen conjecture. Moreover, a non-existence theorem for f -biharmonic Riemannian submersions is also presented.


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