Uniqueness of Solution of the Initial Value Problem for u<sub>t</sub>=ΔU<sup>m</sup>-u<sup>p</sup>

Uniqueness of Solution of the Initial Value Problem for u<sub>t</sub>=ΔU<sup>m</sup>-u<sup>p</sup>

Year:    1991

Journal of Partial Differential Equations, Vol. 4 (1991), Iss. 3 : pp. 89–96

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.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1991-JPDE-5778

Journal of Partial Differential Equations, Vol. 4 (1991), Iss. 3 : pp. 89–96

Published online:    1991-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Uniqueness of solution