Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains

DOI10.1007/978-3-030-35898-3_5zbMath1483.35300arXiv1810.11229OpenAlexW3122719349MaRDI QIDQ2230443

Ivica Nakić, Martin Tautenhahn, Matthias Täufer, Michela Egidi, Albrecht Seelmann, Ivan Veselić

Publication date: 17 September 2021

Full work available at URL: https://arxiv.org/abs/1810.11229

zbMATH Keywords

heat equationunbounded domainsunique continuationuncertainty principlesobservability estimatecontrol costsnullcontrollability

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Heat equation (35K05) Observability (93B07) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Continuation and prolongation of solutions to PDEs (35B60) PDEs in connection with control and optimization (35Q93)

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