Abstract.
The existence of solutions of a nonlinear parabolic equation describing the gravitational interaction of particles is studied for the initial data in spaces of (generalized) pseudomeasures. This approach permits us to relax regularity assumptions on the initial conditions and to prove asymptotic stability results for the above problem.
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Mathematics Subject Classification (2000):35B40, 35K15, 82C21
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Biler, P., Cannone, M., Guerra, I. et al. Global regular and singular solutions for a model of gravitating particles. Math. Ann. 330, 693–708 (2004). https://doi.org/10.1007/s00208-004-0565-7
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DOI: https://doi.org/10.1007/s00208-004-0565-7