smoothness of solutions
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scholarly journals On regularity properties of a surface growth model

2021 ◽  
pp. 1-24
Author(s):  
Jan Burczak ◽  
Wojciech S. Ożański ◽  
Gregory Seregin
Keyword(s):  
Weak Solution ◽  
Growth Model ◽  
Surface Growth ◽  
Suitable Weak Solution ◽  
Scale Invariant ◽  
Local Smoothness ◽  
Higher Integrability ◽  
Regularity Properties ◽  
Smoothness Of Solutions

We show local higher integrability of derivative of a suitable weak solution to the surface growth model, provided a scale-invariant quantity is locally bounded. If additionally our scale-invariant quantity is small, we prove local smoothness of solutions.

scholarly journals On smoothness of solutions to projected differential equations

2019 ◽  
Vol 39 (4) ◽  
pp. 2255-2283 ◽  
Author(s):  
David Salas ◽  
◽  
Lionel Thibault ◽  
Emilio Vilches ◽  
◽  
...  
Keyword(s):  
Differential Equations ◽  
Smoothness Of Solutions
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