In this paper we give a suitable notion of entropy solution of parabolic p-laplacian type equations with 1 <= p < 2 which blows up at the boundary of the domain. We prove existence and uniqueness of this type of solutions when the initial datum is locally integrable (for 1 < p < 2) or integrable (for p = 1; i.e. the total variation flow case). (C) 2011 Elsevier Inc. All rights reserved.
Large solutions for nonlinear parabolic equations without absorption terms / Salvador, Moll; Petitta, Francesco. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 262:4(2012), pp. 1566-1602. [10.1016/j.jfa.2011.11.020]
Large solutions for nonlinear parabolic equations without absorption terms
PETITTA, FRANCESCO
2012
Abstract
In this paper we give a suitable notion of entropy solution of parabolic p-laplacian type equations with 1 <= p < 2 which blows up at the boundary of the domain. We prove existence and uniqueness of this type of solutions when the initial datum is locally integrable (for 1 < p < 2) or integrable (for p = 1; i.e. the total variation flow case). (C) 2011 Elsevier Inc. All rights reserved.File allegati a questo prodotto
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