Author: Martynenko A.V.
Publisher: Taylor & Francis Ltd
ISSN: 0003-6811
Source: Applicable Analysis, Vol.92, Iss.9, 2013-09, pp. : 1863-1888
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
We study the Cauchy problem for quasilinear parabolic equation with inhomogeneous density and a source. We show that this problem has a global solution under the assumptions that initial datum is small enough in the integral sense and the source term has overcritical behaviour. The sharp estimates of a solution is obtained as well.
Related content
Solvability of a Quasilinear Elliptic Resonance Equation on the N-torus
By Kuo C-C.
Applicable Analysis, Vol. 80, Iss. 1, 2002-01 ,pp. :