This article is cited in 2 papers

The cauchy problem for a nonlinear integro-differential transport equation

A. V. Kalinin, S. F. Morozov

N. I. Lobachevski State University of Nizhni Novgorod

Abstract: In the present paper, we study the Cauchy problem for a nonlinear time-dependent kinetic neutrino transport equation. We prove the existence and uniqueness theorem for the solution of the Cauchy problem, establish uniform bounds in $t$ for the solution of this problem, and prove the existence and uniqueness of a stationary trajectory and the stabilization as $t\to\infty$ of the solution of the time-dependent problem for arbitrary initial data.

UDC: 517.598.7

Received: 01.03.1995

DOI: 10.4213/mzm1549

 English version: Mathematical Notes, 1997, 61:5, 566–573

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