Timur Akhunov

activity

20122018

collaborators

3 papers

math.AP2018

Well-posedness of fully nonlinear KdV-type evolution equations

Timur Akhunov, David M. Ambrose, J. Douglas Wright

We study the well-posedness of the initial value problem for fully nonlinear evolution equations, $u_{t} = f [u],$ where $f$ may depend on up to the first three spatial derivatives of…

math.AP2017

Hypoellipticity without loss of derivatives for Fedii's type operators

Timur Akhunov, Lyudmila Korobenko, Cristian Rios

We prove that second order linear operators on $R^{n + m}$ of the form $L (x, y, D_{x}, D_{y}) = L_{1} (x, D_{x}) + g (x) L_{2} (y, D_{y})$ , where $L_{1}$ and $L_{2}$ satisfy Morimoto's super-logari…

math.AP2012

A sharp condition for the well-posedness of the linear KdV-type equation

Timur Akhunov

To make the illposedness argument more transparent the argument is rewritten to reduce the equation to the constant dispersion case. Minor errors are corrected. Accepted to the Pro…