scholarly journals On the KPZ equation with fractional diffusion: Global regularity and existence results

2022 ◽  
Vol 312 ◽  
pp. 65-147
Author(s):  
Boumediene Abdellaoui ◽  
Ireneo Peral ◽  
Ana Primo ◽  
Fernando Soria
Keyword(s):  
Global Regularity ◽  
Fractional Diffusion ◽  
Existence Results ◽  
Kpz Equation ◽  
The Kpz Equation ◽  
Regularity And Existence

Application to the KPZ Equation

2014 ◽  
pp. 221-240
Author(s):  
Peter K. Friz ◽  
Martin Hairer
Keyword(s):  
Kpz Equation ◽  
The Kpz Equation

scholarly journals Self-Similar Blow-Up Solutions of the KPZ Equation

2015 ◽  
Vol 2015 ◽  
pp. 1-4 ◽  
Author(s):  
Alexander Gladkov
Keyword(s):  
Asymptotic Behavior ◽  
Blow Up ◽  
Kpz Equation ◽  
Self Similar ◽  
The Kpz Equation ◽  
Similar Solutions

Self-similar blow-up solutions for the generalized deterministic KPZ equationut=uxx+|ux|qwithq>2are considered. The asymptotic behavior of self-similar solutions is studied.

scholarly journals Solving the KPZ equation

2013 ◽  
Vol 178 (2) ◽  
pp. 559-664 ◽  
Author(s):  
Martin Hairer
Keyword(s):  
Kpz Equation ◽  
The Kpz Equation

scholarly journals The Scaling Limit of the KPZ Equation in Space Dimension 3 and Higher

2018 ◽  
Vol 171 (4) ◽  
pp. 543-598 ◽  
Author(s):  
Jacques Magnen ◽  
Jérémie Unterberger
Keyword(s):  
Space Dimension ◽  
Scaling Limit ◽  
Kpz Equation ◽  
The Kpz Equation

scholarly journals Local Brownian property of the narrow wedge solution of the KPZ equation

2011 ◽  
Vol 16 (0) ◽  
pp. 712-719 ◽  
Author(s):  
Jeremy Quastel ◽  
Daniel Remenik
Keyword(s):  
Kpz Equation ◽  
The Kpz Equation
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