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The estimates are global in time and are proved using a variation of Morawetz multipliers.
The global in time existence, uniqueness as well as the regularity of a solution are addressed.
This will be applied to obtain various new global in time estimates for weak solutions of the Navier-Stokes equations.
We obtain global in time bounds for the heat kernel G of the Schrödinger operator L=−Δ+V.
The algorithm is global in time, meaning that the entire propagation can be carried out in just a few time steps.
We derive a new conservative and entropy decaying semi-discretized FPLE for which we prove the existence of global in time, positive.
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We derive a conservative and entropy decaying semidiscretized Landau equation for which we prove the existence of global in-time positive solutions.
We prove a local-in-time non-squeezing result and a conditional global-in-time result which states that uniform bounds on the Strichartz norms of solutions imply global-in-time non-squeezing.
This requires a global-in-time study of the dynamics generated by a non normal operator with non constant coefficients.
For these equations, only the existence of global-in-time weak solutions is available in some particular cases.
In this article we study global-in-time Strichartz estimates for the Schrödinger evolution corresponding to long-range perturbations of the Euclidean Laplacian.
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