【摘要】 本文利用线性椭圆问题误差估计的部分结果,在较弱的条件下,获得了弱非线性抛物型方程半离散Galerkin近似解的L₂（L₂）、L_∞（L₂）和L_∞（L_∞）估计。更多还原

【Abstract】 The semidiscrete Galerkin method for weakly nonlinear parabolic equations is investigated. L2(L2), L∞(L∞) estimations for the approximation are derived by means of the weak conditions and the results of error estimates for the linear elliptic problem. The error estimates given are optimal, and the linear results are included as a special case.更多还原