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math.DS2007
The Kuramoto-Sivashinsky equation in R^1 and R^2: effective estimates of the high-frequency tails and higher Sobolev norms
Milena Stanislavova, Atanas Stefanov
We consider the Kuramoto-Sivashinsky (KS) equation in finite domains of the form . Our main result provides refined Gevrey estimates for the solutions of the one dimensio…
math.CA2007★ 1 cited
Pseudodifferential operators with rough symbols
Atanas Stefanov
In this work, we develop boundedness theory for pseudodifferential operators with rough (not even continuous in general) symbols in the variable. Moreover, the o…