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Bibliographic Details
Main Authors: Gamboa, Alfredo S., Lopes, André da Rocha, Yapu, Luis P.
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2605.15499
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author Gamboa, Alfredo S.
Lopes, André da Rocha
Yapu, Luis P.
author_facet Gamboa, Alfredo S.
Lopes, André da Rocha
Yapu, Luis P.
contents In this paper, we are concerned with local controllability properties of degenerate parabolic equations in bounded domains that evolve in time. More precisely, we deal with the exact controllability to a positive trajectory of a one-dimensional semilinear degenerate equation governed via the coefficient of the reaction term. We apply a well-known local inversion method combined with some appropriate specific estimates.
format Preprint
id arxiv_https___arxiv_org_abs_2605_15499
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Bilinear control to trajectories of 1D degenerate parabolic equations in moving domains
Gamboa, Alfredo S.
Lopes, André da Rocha
Yapu, Luis P.
Analysis of PDEs
In this paper, we are concerned with local controllability properties of degenerate parabolic equations in bounded domains that evolve in time. More precisely, we deal with the exact controllability to a positive trajectory of a one-dimensional semilinear degenerate equation governed via the coefficient of the reaction term. We apply a well-known local inversion method combined with some appropriate specific estimates.
title Bilinear control to trajectories of 1D degenerate parabolic equations in moving domains
topic Analysis of PDEs
url https://arxiv.org/abs/2605.15499