An elementary proof of the lack of null controllability for the heat equation on the half line

DOI10.1016/j.aml.2020.106241zbMath1441.93028arXiv1908.11579OpenAlexW3000591973WikidataQ126318791 ScholiaQ126318791MaRDI QIDQ2176475

Konstantinos Kalimeris, Türker Özsarı

Publication date: 4 May 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.11579

zbMATH Keywords

boundary controllabilitynull controllabilityFokas methodunified transform

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Heat equation (35K05)

Related Items (4)

Observability and null-controllability for parabolic equations in \(L_p\)-spaces ⋮ Boundary behavior for the heat equation on the half‐line ⋮ Integral representations for the double-diffusivity system on the half-line ⋮ The nonlinear Schrödinger equation on the half-line with a Robin boundary condition

Cites Work

• Unnamed Item
• The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line
• On the lack of null-controllability of the heat equation on the half-line
• The nonlinear Schrödinger equation on the half-line
• A Unified Approach to Boundary Value Problems
• A unified transform method for solving linear and certain nonlinear PDEs
• A new transform method for evolution partial differential equations
• Exact Boundary Controllability for the Linear Korteweg--de Vries Equation on the Half-Line
• The Korteweg-de Vries equation on an interval

This page was built for publication: An elementary proof of the lack of null controllability for the heat equation on the half line