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On the rate of convergence of weak Euler approximation for non-degenerate SDEs
L´ evy processes stochastic differential equations
2010/12/10
The paper estimates the rate of convergence of the weak Euler approximation for solutions to SDEs driven by point and martingale measures, with H¨older continuous coefficients. The equation considered...
A weak Harnack inequality for fractional evolution equations with discontinuous coefficients
weak Harnack inequality Moser iterations fractional derivativ weak solutions
2010/12/13
We study linear time fractional diffusion equations in divergence form of time order less than one. It is merely assumed that the coefficients are measurable and bounded, and that they satisfy a unifo...
Existence of global weak solutions for Navier-Stokes equations with large flux
Navier-Stokes equation weighted Sobolev spaces Neumann boundary-value problem
2010/12/14
Global existence of weak solutions to the Navier-Stokes equation in a cylindrical domain under the slip boundary conditions and with inflow and outflow was proved. To prove the energy estimate, crucia...