# American Institute of Mathematical Sciences

February  2013, 33(2): 723-737. doi: 10.3934/dcds.2013.33.723

## On global existence of classical solutions for the Vlasov-Poisson system in convex bounded domains

 1 Department of Mathematics, Pohang University of Science and Technology, Pohang, Gyeongbuk, South Korea 2 Department of Mathematics, Pohang University of Science and Technology, Pohang, 790-784, South Korea 3 Institute for Applied Mathematics, University of Bonn, Endenicher Allee 60, 53115 Bonn, Germany

Received  July 2011 Revised  March 2012 Published  September 2012

We prove global existence of strong solutions for the Vlasov-Poisson system in a convex bounded domain in the plasma physics case assuming homogeneous Dirichlet boundary conditions for the electric potential and the specular reflection boundary conditions for the distribution density.
Citation: Hyung Ju Hwang, Jaewoo Jung, Juan J. L. Velázquez. On global existence of classical solutions for the Vlasov-Poisson system in convex bounded domains. Discrete & Continuous Dynamical Systems - A, 2013, 33 (2) : 723-737. doi: 10.3934/dcds.2013.33.723
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