On the Cauchy problem for the fast diffusion equation

For , the author studies the existence of a kind of weak solution to the Cauchy problem

     

On the deficiency indices and self-adjointness of symmetric Hamiltonian systems

The main purpose of this paper is to investigate the formal deficiency indices of a symmetric first-order system

     

Derivatives of the L-cosine transform

The L^p-cosine transform of an even, continuous function is defined by

     

Existence of smooth attractors for the Navier-Stokes-omega model of turbulence

We consider the Navier-Stokes- model, given by

     

Asymptotic expansion of the boundary layers of the perturbed simple pendulum problems

We consider the nonlinear eigenvalue problem on an interval