A Markov Process Associated with a Boltzmann Equation Without Cutoff and for Non-Maxwell Molecules

A parametrix construction for the fundam

A parametrix construction for the fundamental solution of the evolution equation associated with a pseudo-differential operator generating a Markov process

✍ Björn Böttcher 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 138 KB

## Abstract We use the method proposed by H. Kumano‐go in the classical case to construct a parametrix of the equation $ \textstyle {{\partial u} \over {\partial t}}$ + __q__ (__x, D__ )__u__ = 0 where __q__ (__x, D__ ) is a pseudo‐differential operator with symbol in the class introduced by W. Hoh