Strong Lp-Solutions of the Navier-Stokes Equation in Rm, with Applications to Weak Solutions.
Holomorphic Families of Dirac Operators.
Superconvexity of the Spectral Radius, and Convexity of the Spectral Bound and the Type.
On the Korteweg-De Vries Equation.
Smooth operators and commutators
On nonlinear Schrödinger equations
On some Schrödinger operators with a singular complex potential
Perturbation of Closed Operators and Their Adjoints.
On the nonstationary Navier-Stokes system
Nonlinear Evolution Equations and Analyticity. I
Well-posedness of the Euler and Navier-Stokes equations in the Lebesque spaces L (R).
In this paper we show that the Euler equation for incompressible fluids in R2 is well posed in the (vector-valued) Lebesgue spaces Ls p = (1 - ∆)-s/2 Lp(R2) with s > 1 + 2/p, 1 < p < ∞ and that the same is true of the Navier-Stokes equation uniformly in the viscosity ν.
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