We study existence and non existence results for a class of parabolic problems related to some Caffarelli Kohn Nirenberg inequalities, which include the classical Hardy inequality. The paper starts by the results of Baras and Goldstein concerning existence and blow-up for the solution to the heat equation with a critical potential, results which use as essential tool the Hardy inequality.
Results on parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities / Dall'Aglio, Andrea; Giachetti, Daniela; I., Peral. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - STAMPA. - 36:(2004), pp. 691-716. [10.1137/S0036141003432353]
Results on parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities
DALL'AGLIO, Andrea;GIACHETTI, Daniela;
2004
Abstract
We study existence and non existence results for a class of parabolic problems related to some Caffarelli Kohn Nirenberg inequalities, which include the classical Hardy inequality. The paper starts by the results of Baras and Goldstein concerning existence and blow-up for the solution to the heat equation with a critical potential, results which use as essential tool the Hardy inequality.| File | Dimensione | Formato | |
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