Solutions of a class of nonlinear master equations
1992; Elsevier BV; Volume: 43; Issue: 1 Linguagem: Inglês
10.1016/0304-4149(92)90076-3
ISSN1879-209X
Autores Tópico(s)advanced mathematical theories
ResumoNonlinear master equations in the case of one kind of particle are discussed from the point of view of solving a martingale problem. We get some conditions from which the existence, uniqueness and ergodicity of solutions follow. These results are then used to discuss the phenomenon of phase transitions of the second Schlögl model.
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