On distributional solutions of local and nonlocal problems of porous medium type
We present a theory of well-posedness and a priori estimates for bounded distributional (or very weak) solutions of ∂tu − L σ,µ[ϕ(u)] = g(x, t) in R N (0.1) × (0, T ), where ϕ is merely continuous and nondecreasing and L σ,µ is the generator of a general symmetric L´evy process. This means that L σ,...
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