LOCAL EXISTENCE WITH MILD REGULARITY FOR THE BOLTZMANN EQUATION
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Article de revue
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Kinetic and Related Models. 2013, vol. 6, n° 4, p. 1011-1041
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Resumen en inglés
Without Grad's angular cuto assumption, the local existence of classical solutions to the Boltzmann equation is studied. There are two newimprovements: the index of Sobolev spaces for the solution is related to the parameter ...Leer más >
Without Grad's angular cuto assumption, the local existence of classical solutions to the Boltzmann equation is studied. There are two newimprovements: the index of Sobolev spaces for the solution is related to the parameter of the angular singularity; moreover, we do not assume that theinitial data is close to a global equilibrium. Using the energy method, one important step in the analysis is the study of fractional derivatives of thecollision operator and related commutators.< Leer menos
Palabras clave en inglés
fractional derivatives.
existence of solution
energy estimates
Boltzmann equation
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