【摘要】 本文研究了非线性抛物方程弱解的L2 衰减 ,证明了若u是非线性抛物方程的一个弱解 ,则u满足‖u‖L2 ≤C( 1 +t) -n/ 4,其中C是常数且仅依赖于初始值u0 的范数 .更多还原

【Abstract】 In this paper,the authors study the L2 decay for weak solutions of the nonlinear parabolic equations,and prove that if u is a weak solution of the parabolic equations,then ‖u‖ L2≤C(1+t) -n/4,where C is a constant depending only on the norms of the initial data u 0.更多还原