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Bibliographic Details
Main Authors: Gamboa, Alfredo S., Limaco, Juan, Yapu, Luis P.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2508.17546
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author Gamboa, Alfredo S.
Limaco, Juan
Yapu, Luis P.
author_facet Gamboa, Alfredo S.
Limaco, Juan
Yapu, Luis P.
contents We prove a Carleman estimate for a one-dimensional parabolic equation which degenerates at one extremity of the domain and has a bounded, time dependent coefficient multiplying the diffusion term. Then we use the estimate to show the null controllability of a coupled system characterized by this form of diffusion operator and bounded coefficients.
format Preprint
id arxiv_https___arxiv_org_abs_2508_17546
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Controllability of a system of non-autonomous degenerate coupled parabolic equations
Gamboa, Alfredo S.
Limaco, Juan
Yapu, Luis P.
Analysis of PDEs
We prove a Carleman estimate for a one-dimensional parabolic equation which degenerates at one extremity of the domain and has a bounded, time dependent coefficient multiplying the diffusion term. Then we use the estimate to show the null controllability of a coupled system characterized by this form of diffusion operator and bounded coefficients.
title Controllability of a system of non-autonomous degenerate coupled parabolic equations
topic Analysis of PDEs
url https://arxiv.org/abs/2508.17546