科研之友
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摘要
In this paper we present the convergence analysis of iterative schemes for solving semilinear systems resulting from multidimensional semilinear second-order parabolic partial differential equations (PDEs) defined in a domain R-n x R+ and subject to Cauchy boundary conditions on R-n, using the method of integral successive iterative approximation and the principle of decay estimation, we derive the bounded, nonnegative, local solutions and global solutions. Blowing-up results of the solutions are also presented.
