A note on approximate controllability for semilinear one-dimensional heat equation

DOI10.1007/BF01447763zbMath0503.49023MaRDI QIDQ1173274

Hong Xing Zhou

Publication date: 1982

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

zbMATH Keywords

approximate controllabilitysemilinear heat equation

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Attainable sets, reachability (93B03)

Related Items (7)

Schauder's fixed-point theorem in approximate controllability problems ⋮ Approximate controllability of second-order distributed systems ⋮ Controllability of linear systems in Banach spaces ⋮ Approximate controllability of second-order distributed implicit functional systems ⋮ Approximate controllability of second-order stochastic distributed implicit functional differential systems with infinite delay ⋮ Approximate controllability and its well-posedness for the semilinear reaction-diffusion equation with internal lumped controls ⋮ Unnamed Item

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Exact controllability theorems for linear parabolic equations in one space dimension
• Boundary Control Problems with Convex Cost Criterion
• Existence and Uniqueness of Optimal Controls for a Quasilinear Parabolic Equation

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