A new proof for Koch and Tataru's result on the well-posedness of Navier-Stokes equations in BMO⁻¹

الأصل · EN

We give a new proof of a well-known result of Koch and Tataru on the well-posedness of Navier-Stokes equations in ⁿ with small initial data in BMO⁻¹(ⁿ). The proof is formulated operator theoretically and does not make use of self-adjointness of the Laplacian.