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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 $\varphi_i(u)$,$\psi(t,x,u)$.
Received: 21.01.1974
Citation:
P. A. Andreianov, “Stability of the solutions of the Cauchy problem for first-order quasilinear equations”, Mat. Zametki, 17:1 (1975), 79–89; Math. Notes, 17:1 (1975), 46–52
Linking options:
https://www.mathnet.ru/eng/mzm7226 https://www.mathnet.ru/eng/mzm/v17/i1/p79
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Abstract page: | 168 | Full-text PDF : | 77 | First page: | 1 |
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