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• W3142450580 abstract "We study the homogeneous Dirichlet problem for the class of singular parabolic equationsut−div(|∇u|p[∇u]−2∇u)=fin Ω×(0,T), where Ω⊂Rd, d≥2, is a smooth domain. The exponent p nonlocally depends on the gradient of the solution: p is a given function defined byp[∇u]≡p(l(|∇u|)),l(|s|)=∫Ω|s|αdx with a constant α∈(1,2]. We find sufficient conditions on the data that guarantee global in time existence and uniqueness of a strong solution of the problem. It is shown that the problem has a solution if either u0 and f, or p′(s) are sufficiently small." @default.
• W3142450580 created "2021-04-13" @default.
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• W3142450580 date "2021-09-01" @default.
• W3142450580 modified "2023-10-18" @default.
• W3142450580 title "On a class of nonlocal evolution equations with the p[∇u]-Laplace operator" @default.
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• W3142450580 doi "https://doi.org/10.1016/j.jmaa.2021.125221" @default.
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