9,466 research outputs found
Infinite superlinear growth of the gradient for the two-dimensional Euler equation
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 exponential growth of the gradient for the finite time
On a conjecture by Y. Last
We prove a conjecture due to Y. Last on Jacobi matrices.Comment: preprint, final version published in J. Appr. Theor
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