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- Centre National de la Recherche ScientifiqueFR214 papers
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9 papers · 2 filters
Convex monotone semigroups on lattices of continuous functions
Robert Denk, Michael Kupper, Max Nendel
We consider convex monotone -semigroups on a Banach lattice, which is assumed to be a Riesz subspace of a -Dedekind complete Banach lattice. Typical examples include the sp…
Well-posedness for a system of quadratic derivative nonlinear Schrödinger equations in almost critical spaces
Hiroyuki Hirayama, Shinya Kinoshita, Mamoru Okamoto
In this paper, we consider the Cauchy problem of the system of quadratic derivative nonlinear Schrödinger equations introduced by Colin and Colin (2004). We determine an almost opt…
The Zakharov-Kuznetsov equation in high dimensions: Small initial data of critical regularity
Sebastian Herr, Shinya Kinoshita
The Zakharov-Kuznetsov equation in spatial dimension is considered. The Cauchy problem is shown to be globally well-posed for small initial data in critical spaces and it…
Higher Hölder regularity for nonlocal equations with irregular kernel
Simon Nowak
We study the higher Hölder regularity of local weak solutions to a class of nonlinear nonlocal elliptic equations with kernels that satisfy a mild continuity assumption. An interes…
Ergodic theory for energetically open compressible fluid flows
Francesco Fanelli, Eduard Feireisl, Martina Hofmanová
The ergodic hypothesis is examined for energetically open fluid systems represented by the barotropic Navier--Stokes equations with general inflow/outflow boundary conditions. We s…
Global wellposedness for the energy-critical Zakharov system below the ground state
Timothy Candy, Sebastian Herr, Kenji Nakanishi
The Cauchy problem for the Zakharov system in the energy-critical dimension is considered. We prove that global well-posedness holds in the full (non-radial) energy space for…