2 citations · 2 across the 4 of their papers we have counts for
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Hölder estimates up to the singular time for the Córdoba-Córdoba-Fontelos equation
Ángel Castro, Alberto Enciso, Antonio J. Fernández
We prove that the solution to the Córdoba-Córdoba-Fontelos equation , , on the real line with analytic initial datum develops a finite-time…
Smooth nonradial stationary solutions to SQG via the half-Yamabe equation
Ángel Castro, Antonio J. Fernández, Claudia García
We prove the existence of infinitely many smooth nonradial stationary solutions to the surface quasi-geostrophic (SQG) equation with finite kinetic energy. Our construction is base…
Non-uniqueness for the nonlocal Liouville equation in and applications
Luca Battaglia, Matteo Cozzi, Antonio J. Fernández +1
We construct multiple solutions to the nonlocal Liouville equation \begin{equation} \label{eqk} \tag{L} (-Δ)^{\frac{1}{2}} u = K(x) e^u \quad \mbox{ in } \mathbb{R}. \end{equation}…
Deterministic KPZ-type equations with nonlocal "gradient terms"
Boumediene Abdellaoui, Antonio J. Fernández, Tommaso Leonori +1
The main goal of this paper is to prove existence and non-existence results for deterministic Kardar-Parisi-Zhang type equations involving non-local "gradient terms". More precisel…