论文信息 - Convergence of sequences of semigroups of nonlinear operators with an application to gas kinetics

Convergence of sequences of semigroups of nonlinear operators with an application to gas kinetics

Let A j, A-, • • • be dissipative sets that generate semigroups of nonlinear contractions T At), T St) • • « . Conditions are given on \A } Which imply the existence of a limiting semigroup Tit). The results include types of convergence besides strong convergence. As an application, it is shown that solutions of the pair of equations „2, 2 2* u = — aux + a. [v — u ) and 2 2 2 vf = avx + a. (u u ), a a constant, approximate the solutions of ut = yÁ(d2/dx2) log u as o. goes to infinity.

Thomas G. Kurtz

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