Hermite basis diagonalization for the non-cutoff radially symmetric linearized Boltzmann operator

N. Lerner; Y. Morimoto; K. Pravda-Starov; C.-J. Xu

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This paper deals with two types of non-local problems for the Poisson equation in the disc. The first of them deals with the situation when the function value on the circle is given as a combination of unknown function values in the disc. The other type deals with the situation when a combination of the value of the function and its derivative by radius on the circle are given as a combination of unknown function values in the disc. The existence and uniqueness of the classical solution...