General asymptotic supnorm estimates for solutions of one-dimensional advection-diffusion equations in heterogeneous media

dc.contributor.author	Barrionuevo, Jose Afonso	pt_BR
dc.contributor.author	Oliveira, Lucas da Silva	pt_BR
dc.contributor.author	Zingano, Paulo Ricardo de Avila	pt_BR
dc.date.accessioned	2015-09-23T01:58:41Z	pt_BR
dc.date.issued	2014	pt_BR
dc.identifier.issn	2356-7082	pt_BR
dc.identifier.uri	http://hdl.handle.net/10183/127045	pt_BR
dc.description.abstract	We derive general bounds for the large time size of supnorm values ‖𝑢(⋅, 𝑡)‖𝐿∞(R) of solutions to one-dimensional advectiondiffusion equations 𝑢𝑡 + (𝑏(𝑥, 𝑡)𝑢)𝑥 = 𝑢𝑥𝑥, 𝑥 ∈ R, 𝑡 > 0 with initial data 𝑢(⋅, 0) ∈ 𝐿𝑝 0 (R) ∩ 𝐿∞(R) for some 1 ≤ 𝑝0 < ∞and arbitrary bounded advection speeds 𝑏(𝑥, 𝑡), introducing new techniques based on suitable energy arguments. Some open problems and related results are also given.	en
dc.format.mimetype	application/pdf	pt_BR
dc.language.iso	eng	pt_BR
dc.relation.ispartof	International journal of partial differential equations. New York. Vol. 2014 (2014), 8 f. Article ID 450417	pt_BR
dc.rights	Open Access	en
dc.subject	Equações	pt_BR
dc.title	General asymptotic supnorm estimates for solutions of one-dimensional advection-diffusion equations in heterogeneous media	pt_BR
dc.type	Artigo de periódico	pt_BR
dc.identifier.nrb	000965270	pt_BR
dc.type.origin	Estrangeiro	pt_BR

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