most citedon a second critical value for the local existence of solutions in lebesgue spaces

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math.AP2022★ 1 cited

on a second critical value for the local existence of solutions in lebesgue spaces

Brandon Carhuas-Torre, Ricardo Castillo, Miguel Loayza

We provide new conditions for the local existence of solutions to the time-weighted parabolic equation $ u_t - Δu = h(t)f(u) \mbox{ in } Ω\times (0,T),$ where is a arbitrary s…