João P. G. Ramos

activity

20182023

collaborators

Showing math.APShow all

4 papers · 1 filter

math.AP2023

A Faber-Krahn type inequality for log-subharmonic functions in the hyperbolic ball

David Kalaj, João P. G. Ramos

Assume that $Δ_{h}$ is the hyperbolic Laplacian in the unit ball $B$ and assume that $Φ_{n}$ is the unique radial solution of Poisson equation $Δ_{h} lo g Φ_{n} = - 4 (n - 1)^{2}$ satis…

math.AP2022

Uniqueness of solutions to nonlinear Schrödinger equations from their zeros

Christoph Kehle, João P. G. Ramos

We show novel types of uniqueness and rigidity results for Schrödinger equations in either the nonlinear case or in the presence of a complex-valued potential. As our main result w…

math.AP2020

Maximal function estimates and local well-posedness for the generalized Zakharov--Kuznetsov equation

Felipe Linares, João P. G. Ramos

We prove a high-dimensional version of the Strichartz estimates for the unitary group associated to the free Zakharov--Kuznetsov equation. As a by--product, we deduce maximal estim…

math.AP2020

The Cauchy problem for the $L^{2} -$ critical generalized Zakharov-Kuznetsov equation in dimension 3

Felipe Linares, João P. G. Ramos

We prove local well-posedness for the $L^{2}$ critical generalized Zakharov-Kuznetsov equation in $H^{s}, s \in (3/4, 1) .$ We also prove that the equation is "almost well-posedness"…

A Faber-Krahn type inequality for log-subharmonic functions in the hyperbolic ball

Uniqueness of solutions to nonlinear Schrödinger equations from their zeros

Maximal function estimates and local well-posedness for the generalized Zakharov--Kuznetsov equation

The Cauchy problem for the L2−critical generalized Zakharov-Kuznetsov equation in dimension 3

The Cauchy problem for the $L^{2} -$ critical generalized Zakharov-Kuznetsov equation in dimension 3