10 citations · 51 across the 31 of their papers we have counts for
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math.AP2019
Spatial asymptotics and equilibria of heat flow on
Robert McOwen, Peter Topalov
We prove that the heat equation on is well-posed in certain spaces of functions allowing spatial asymptotic expansions as of any a priori given order.…
math.AP2019
On the asymptotic behavior of solutions of the 2d Euler equation
Saif Sultan, Peter Topalov
We prove that the 2d Euler equation is globally well-posed in a space of vector fields having spatial asymptotic expansion at infinity of any a priori given order. The asymptotic c…
math.AP2019★ 7 cited
On the flow map of the Benjamin-Ono equation on the torus
Patrick Gerard, Thomas Kappeler, Peter Topalov
We prove that for any , the Benjamin--Ono equation on the torus is globally in time well-posed on the Sobolev space $H^{-s}(\T, \R)$,in the sense that the soluti…