数学季刊 ›› 1987, Vol. 2 ›› Issue (1): 59-72.
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Abstract: In this paper, we construct a specisl space which incarates the estimate of decay of solutions, and use Banach fixed point theorem to directly prove the existence and uniqueness of the generalized solution of nonlinear heat equation.
俞新. 非线性热传导方程的 Cauchy 问题-整体解及生存区间 [J]. 数学季刊, 1987, 2(1): 59-72.
YU Xin. On the Cauchy Problem of Nonlinear Heat Equation, Solution and Existence Interval [J]. Chinese Quarterly Journal of Mathematics, 1987, 2(1): 59-72.
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