52 citations · 84 across the 17 of their papers we have counts for
5 papers · 2 filters
An evolution equation as the WKB correction in long-time asymptotics of Schrodinger dynamics
Sergey A. Denisov
We consider 3d Schrodinger operator with long-range potential that has short-range radial derivative. The long-time asymptotics of non-stationary problem is studied and existence o…
Infinite superlinear growth of the gradient for the two-dimensional Euler equation
Sergey A. Denisov
For two-dimensional Euler equation on the torus, we prove that the uniform norm of the gradient can grow superlinearly for some infinitely smooth initial data. We also show the exp…
Weak asymptotics for Schrodinger evolution
Sergey A. Denisov
We apply technique developed in [2] to study the long-time behavior of Schrodinger evolution.
Wave equation with slowly decaying potential: asymptotics and wave operators
Sergey A. Denisov
For the one-dimensional case, we establish the long-time asymptotics of solution to Cauchy problem and prove existence of modified wave operators. In particular, we show that the p…
The generic behavior of solutions to some evolution equations: asymptotics and Sobolev norms
Sergey A. Denisov
We study generic behavior of solutions to a large class of evolution equations. The methods are applied to Schrodinger evolution on the circle.