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Local boundedness for solutions to parabolic double phase problems

Year: 2026
Type: preprint
Abstract: In this paper, we investigate the local boundedness of weak solutions to parabolic double phase equations of type $$u_t-\mathrm{div}(|Du|^{p-2}Du+a(x,t)|Du|^{q-2}Du)=0\quad\text{in }Ω_T:=Ω\times(0,T),$$ where $0\leq a(\cdot)\in L^\infty(Ω_T)$ and $\frac{2n}{n+2}
Open Access status: green
OpenAlex ID: W7154726489
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