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| BLOW-UP OF A CLASS OF SEMILINEAR PARABOLIC VARIATIONAL INEQUALITIES | |
| 作者姓名： | 吴新民 韦志辉 |
| 作者单位： | Department of Applied Mathematics East China Institute of Technology，Nanjing 210014，Department of Applied Mathematics，East China Institute of Technology，Nanjing 210014 |
| 摘 要： | In this paper we study the blow-up behavior for a class of semilinear parabolic variational inequalities;whereK = {u ∈L~2(0,T;H_0~1(Ω))|u(x,t)≥ψ(x) a. e. (x,t) ∈Ω×(0,T), u(x,0) = (x)},andis a uniformly elliptic operator.We prove the following main theorem.Theorem Let u(x,t) be a local solution of problem (I),u∈C(0,T;H~2(Ω)∩H_0~1(Q)),u_i∈L~2(0,T;L~2(Ω)), and following conditions are satisfied.(1) There exists a continuously differentiable function G(x,s) and a positive number α,such that |
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