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In this paper, the relativistic Vlasov-Klein-Gordon system in one dimension is investigated. This non-linear dynamics system consists of a transport equation for the distribution function combined with Klein-Gordon equation. Without any assumption of continuity or compact support of any initial particle density $f_{0}$, we prove the existence and uniqueness of the mild solution via the iteration method.
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참고문헌 (21)
참고문헌 신청
A. A. Arsen'ev / 1975 / Global existence of a weak solution of Vlasov's system of equations / U.S.S.R. Comp. Math. and Math. Phys 15:131~143
C. Bardos / 1985 / Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data / Ann. Inst. H. Poincare Anal. Non Lineaire 2(2):101~118
Jürgen Batt / 1977 / Global symmetric solutions of the initial value problem of stellar dynamics / Journal of Differential Equations 25(3):342~364
M. Bostan / 2007 / Mild solutions for the one-dimensional Nordstrom-Vlasov system / Nonlin-earity 20(5):1257~1281
Mihai Bostan / 2007 / Mild solutions for the relativistic Vlasov-Maxwell system for laser-plasma interaction / Quarterly of Applied Mathematics 65(1):163~187
C. Bardos / 1985 / Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data / Ann. Inst. H. Poincare Anal. Non Lineaire 2(2):101~118
Jürgen Batt / 1977 / Global symmetric solutions of the initial value problem of stellar dynamics / Journal of Differential Equations 25(3):342~364
M. Bostan / 2007 / Mild solutions for the one-dimensional Nordstrom-Vlasov system / Nonlin-earity 20(5):1257~1281
Mihai Bostan / 2007 / Mild solutions for the relativistic Vlasov-Maxwell system for laser-plasma interaction / Quarterly of Applied Mathematics 65(1):163~187
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