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dc.contributor.authorGonzález Nogueras, María del Mar
dc.contributor.authorGualdani, Maria
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2012-10-16T10:37:54Z
dc.date.created2012-10
dc.date.issued2012-10
dc.identifier.citationGonzález, M.; Gualdani, M. Some non-standard sobolev spaces, interpolation and its application to PDE. "Acta applicandae mathematicae", Octubre 2012, vol. 121, núm. 1, p. 57-67.
dc.identifier.issn0167-8019
dc.identifier.urihttp://hdl.handle.net/2117/16730
dc.description.abstractWe consider some nonstandard Sobolev spaces in one dimension, in which functions have different regularity in different subsets. These spaces are useful in the study of some nonlinear parabolic equations where the nonlinearity is highly degenerate and depends on the smoothness of the solution at a certain subset (that may vary with time). An example of application is a diffusion equation with a smooth free boundary, and a moving source/sink where the solution has singularity. The main new idea here is to characterize the functional space setting that is needed for semigroup theory to apply.
dc.format.extent11 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.otherFunctional spaces
dc.subject.otherInterpolation
dc.subject.otherNonlinear parabolic equation
dc.titleSome non-standard sobolev spaces, interpolation and its application to PDE
dc.typeArticle
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.identifier.doi10.1007/s10440-012-9674-6
dc.subject.amsClassificació AMS::35 Partial differential equations::35K Parabolic equations and systems
dc.subject.amsClassificació AMS::35 Partial differential equations::35S Pseudodifferential operators and other generalizations of partial differential operators
dc.subject.amsClassificació AMS::26 Real functions::26A Functions of one variable
dc.subject.amsClassificació AMS::46 Associative rings and algebras::46B Normed linear spaces and Banach spaces; Banach lattices
dc.relation.publisherversionhttp://www.springerlink.com/content/w228h36687847477/fulltext.pdf
dc.rights.accessRestricted access - publisher's policy
local.identifier.drac10965887
dc.description.versionPostprint (published version)
dc.date.lift10000-01-01
local.citation.authorGonzález, M.; Gualdani, M.
local.citation.publicationNameActa applicandae mathematicae
local.citation.volume121
local.citation.number1
local.citation.startingPage57
local.citation.endingPage67


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