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Optimality of integrability estimates for advection-diffusion equations
JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)
 
ID 4192710
Author(s) Bianchini, Stefano; Colombo, Maria; Crippa, Gianluca; Spinolo, Laura Valentina
Author(s) at UniBasel Crippa, Gianluca
Year 2017
Title Optimality of integrability estimates for advection-diffusion equations
Journal Nonlinear Differential Equations and Applications
Volume 24
Number 4
Pages / Article-Number 19
Abstract We discuss Lp integrability estimates for the solution u of the advection–diffusion equation ∂tu+div(bu)=Δu, where the velocity field b∈LrtLqx. We first summarize some classical results proving such estimates for certain ranges of the exponents r and q. Afterwards we prove the optimality of such ranges by means of new original examples.
Publisher Elsevier
ISSN/ISBN 1021-9722 ; 1420-9004
edoc-URL http://edoc.unibas.ch/58738/
Full Text on edoc Restricted
Digital Object Identifier DOI 10.1007/s00030-017-0455-9
ISI-Number WOS:000407747800003
Document type (ISI) Article
 
   

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