Weighted gradient inequalities and unique continuation problems

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Use this identifier to quote or link this document: http://hdl.handle.net/2072/445800

Title:	Weighted gradient inequalities and unique continuation problems
Author:	De, Carli; Gorbachev, D.; Tikhonov, S.
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.
Publication date:	2020-01-01
Subject(s):	51
Pages:	24 p.
Document type:	Article Article - Published version
DOI:	10.1007/s00526-020-1716-8
Published by:	Springer
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