Stability of the solutions of the Cauchy problem for first-order quasilinear equations

P. A. Andreianov

M. V. Lomonosov Moscow State University, USSR

Abstract: In this paper we establish estimates of the stability of the solutions of the Cauchy problem for the multidimensional quasilinear equation $u_t+(\varphi _i(u))_{x_i }=\psi(t,x,u)$ relative to variation of the function $\varphi_i(u)$,$\psi(t,x,u)$.

UDC: 517.944

Received: 21.01.1974

 English version: Mathematical Notes, 1975, 17:1, 46–52

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