Strong Singularities in Mixed Boundary Value Problems
نویسنده
چکیده
where [0, T ] ⊂ . We assume that D ⊂ 2 , f satisfies the Carathéodory conditions on (0, T ) × D , p ∈ C[0, T ] and 1/p need not be integrable on [0, T ]. Here f can have time singularities at t = 0 and/or t = T and a space singularity at x = 0. Moreover, f can change its sign. Provided f is nonnegative it can have even a space singularity at y = 0. We present conditions for the existence of solutions positive on [0, T ).
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تاریخ انتشار 2006