Problems paraboliques semi-lineaires avec donnees measures

Existence and regularity results for some parabolic equations with degenerate coercivity

“…If in particular θ = 0, this is the same result obtained in [11] and [14] for parabolic equations with measure data (see also [3,5,15,26]). …”

Solutions faibles d’équations paraboliques quasilinéaires avec données initiales mesurés

“…Ce papier décrit certains résultats concernant l'existence de solutions faibles pour les équations de [3] . Notons [7], [3].…”

On Uniqueness of Large Solutions of Nonlinear Parabolic Equations in Nonsmooth Domains

“…(see [1]) where µ is the uniform measure on {0} × R + defined by , (5.9) an expression which exists since 1 < q < N/(N − 2). If we let k → ∞ in (5.6 ), using the monotonicity of µ → u µ , we obtain that u kµ → u ∞µ , u ∞µ ≤ U and T ℓ [u ∞µ ] = u ℓ 2/(q−1)−N ∞µ = u ∞µ ∀ℓ > 0.…”