We prove the existence of a solution to the obstacle problem for a convection-diffusion parabolic equation whose principal part is of p-Laplacian type, with p in the subcritical range 1,2NN+2 and with lower order terms. The operator is not coercive and the obstacle function is time dependent and irregular.
Noncoercive parabolic obstacle problems in the subcritical case / Farroni, F.; Greco, L.; Moscariello, G.; Zecca, G.. - In: JOURNAL OF EVOLUTION EQUATIONS. - ISSN 1424-3199. - 25:2(2025). [10.1007/s00028-025-01081-x]
Noncoercive parabolic obstacle problems in the subcritical case
Farroni F.;Greco L.
;Moscariello G.;Zecca G.
2025
Abstract
We prove the existence of a solution to the obstacle problem for a convection-diffusion parabolic equation whose principal part is of p-Laplacian type, with p in the subcritical range 1,2NN+2 and with lower order terms. The operator is not coercive and the obstacle function is time dependent and irregular.File in questo prodotto:
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