Volume 4, Issue 3
Uniqueness of Solution of the Initial Value Problem for ut=ΔUm-up

Zhao Junning and Du Zhongfu

J. Part. Diff. Eq., 4 (1991), pp. 89-96.

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  • Abstract

The uniqueness of solution of the Cauchy problem u_t = Δu^m - u^p, \qquad S_T = R^n × (0, T) u(x, 0) = Φ(x), \qquad × ∈ R^n is obtained. Where n ≥ 1, m, p > 0, Φ(x) ∈ L^∞(R^n), Φ(x) ≥ 0.

  • History

Published online: 1991-04

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