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In this paper, we study the existence of a special type of distributional solutions, the so-called “renormalized solutions” for some parabolic problems with unbounded term and general measure data. We… Click to show full abstract
In this paper, we study the existence of a special type of distributional solutions, the so-called “renormalized solutions” for some parabolic problems with unbounded term and general measure data. We obtain the a priori estimates and we establish the main result using “cut-off” functions. Dans ce papier, nous étudions l’existence d’un type spécifique de solutions de distributions, appelées “solutions renormalisées” pour certains problèmes paraboliques avec un terme non borné et une donnée mesure générale. Nous obtenons des estimations a priori et nous établirons le résultat à l’aide des fonctions isolées.
Journal Title: Ricerche di Matematica
Year Published: 2020
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