Concentration of Local Energy for Two-dimensional Wave Maps
نویسنده
چکیده
We construct some particular kind of solution to the two dimensional equivariant wave map problem in space-time domain of type Ωα(t) = {x ∈ R2 : |x|α < t}, where α ∈ (0, 1], with a source term. More precisely, taking the initial data (u0, u1) in time T to belongs to the Sobolev space H1+ε × Hε with some ε > 0, the source term is in L1((0, T ); Hε (Ωα(t))), we show that the H1+ε norm of the solution blows-up, when t → T − 0.
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تاریخ انتشار 2003