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The global in time existence, uniqueness as well as the regularity of a solution are addressed.
We provide a local in time existence theorem and a weak-strong uniqueness result.
Using this formulation, we prove the local in time existence and uniqueness of strong solutions.
In this note, we study the long time existence of the Calabi flow on X= Cn/Zn+iZn.
The main analytical result we provide is the short time existence and uniqueness of a solution to the resulting dispersion-velocity transport equation.
We consider a fully nonlinear parabolic equation with nonlinear Neumann type boundary condition, and show the long time existence and convergence of the flow.
Similar(22)
It is thought that adopting a night-time existence was one of our ancestors' greatest innovations.
For the first few years, the show lived some kind of real-time existence, but then suddenly got stuck in 1969.
"Wind from the Sea" and "Christina's World" are the products of Wyeth's part-time existence as a Mainer, where he lived for only a season each year.
Pretty soon, "lello" will be gone and all I'll have is the written and audio record of its one-time existence.
As an application, we also explain how to apply this inequality in order to establish a long-time existence result for a class of nonlinear parabolic problems.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com