On -estimates for solutions of the Cauchy problem for parabolic differential equations
On -estimates for the Cauchy problem for hyperbolic systems (Preliminary communication)
On -estimates for the time dependent Schrödinger operator on .
On L1-Vorticity for 2-D incompressible flow.
On L2 Decay of Weak Solutions of the Navier-Stokes Equations in Rn.
On large amplitude solutions of the Yang-Mills equations in Minkowski space-time
On Large Eddy Simulation and Variational Multiscale Methods in the numerical simulation of turbulent incompressible flows
Numerical simulation of turbulent flows is one of the great challenges in Computational Fluid Dynamics (CFD). In general, Direct Numerical Simulation (DNS) is not feasible due to limited computer resources (performance and memory), and the use of a turbulence model becomes necessary. The paper will discuss several aspects of two approaches of turbulent modeling—Large Eddy Simulation (LES) and Variational Multiscale (VMS) models. Topics which will be addressed are the detailed derivation of these...
On Lars Hörmander’s remark on the characteristic Cauchy problem
We extend the results of a work by L. Hörmander [9] concerning the resolution of the characteristic Cauchy problem for second order wave equations with regular first order potentials. The geometrical background of this work was a spatially compact spacetime with smooth metric. The initial data surface was spacelike or null at each point and merely Lipschitz. We lower the regularity hypotheses on the metric and potential and obtain similar results. The Cauchy problem for a spacelike initial data...
On Lavine's formula for time-delay.
On L...-decay and scattering for nonlinear Klein-Gordon equations.
On Lichtenstein's analysis of rotating newtonian stars
On limit-point and separation criteria for linear differential expressions
On linear problems in the space BV
On linearizing systems of diffusion equations.
On Liouville theorem and apriori estimates for the scalar curvature equations
On Liouville theorem and Hölder continuity of weak solutions to some quasilinear elliptic systems of higher order
The aim of this paper is to show that the Liouville-type property is a sufficient and necessary condition for the regularity of weak solutions of quasilinear elliptic systems of higher orders.
On Liouville theorem and the regularity of weak solutions to some nonlinear elliptic systems of higher order
The aim of this paper is to show that Liouville type property is a sufficient and necessary condition for the regularity of weak solutions of nonlinear elliptic systems of the higher order.
On Liouville theorems, continuity and Hölder continuity of weak solutions to some quasilinear elliptic systems
On Liouville type theorems for second order elliptic differential equations
On Lipschitz continuity of the solution map for two-dimensional wave maps