Weighted gradient inequalities and unique continuation problems

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dc.contributor.author	De, Carli
dc.contributor.author	Gorbachev, D.
dc.contributor.author	Tikhonov, S.
dc.date.accessioned	2021-03-19T00:03:15Z
dc.date.available	2021-03-19T00:03:15Z
dc.date.created	2020-01-01
dc.date.issued	2020-01-01
dc.identifier.uri	http://hdl.handle.net/2072/445800
dc.format.extent	24 p.
dc.language.iso	eng
dc.publisher	Springer
dc.source	RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other	51
dc.title	Weighted gradient inequalities and unique continuation problems
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.embargo.terms	12 mesos
dc.identifier.doi	10.1007/s00526-020-1716-8
dc.rights.accessLevel	info:eu-repo/semantics/openAccess
dc.description.abstract	We use Pitt inequalities for the Fourier transform to prove the following weighted gradient inequality ‖e-τℓ(·)u1qf‖q≤cτ‖e-τℓ(·)v1p∇f‖p,f∈C0∞(Rn).This inequality is a Carleman-type estimate that yields unique continuation results for solutions of first order differential equations and systems. © 2020, Springer-Verlag GmbH Germany, part of Springer Nature.

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