Null controllability of nonlinear heat equation with memory effects

DOI10.1016/j.nahs.2008.12.003zbMath1166.93004OpenAlexW2010607453MaRDI QIDQ924106

R. Lakshmi Lavanya, Krishnan Balachandran

Publication date: 27 July 2009

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2008.12.003

zbMATH Keywords

observabilitycontrollabilityCarleman estimateparabolic integrodifferential equation

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Initial-boundary value problems for second-order parabolic equations (35K20) Observability (93B07)

Related Items (8)

On the null controllability of heat equation with memory ⋮ Approximate controllability of a parabolic integrodifferential equation ⋮ Null controllability for a degenerate population equation with memory ⋮ On a class of population dynamics problem with mixed boundary conditions ⋮ Approximate controllability of a parabolic equation with memory ⋮ Controllability of the impulsive semilinear heat equation with memory and delay ⋮ Determining the memory kernel from a fixed point measurement data for a parabolic equation with memory effect ⋮ Numerical approximate controllability for unidimensional parabolic integro-differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Controllability results of linear parabolic integrodifferential equations.
• Null controllability of a nonlinear heat equation
• Exact controllability of partial integrodifferential equations with mixed boundary conditions
• Exact internal controllability for the two-dimensional Navier--Stokes equations with the Navier slip boundary conditions
• Navier-Stokes equation with hereditary viscosity
• Exact controllability of the superlinear heat equation
• On a population dynamics control problem with age dependence and spatial structure
• Null controllability of the heat equation with boundary Fourier conditions: the linear case
• Approximate Controllability of a Semilinear Heat Equation in $\Bbb R^N$
• On exact controllability for the Navier-Stokes equations
• Approximate controllability of the semilinear heat equation
• Global Carleman Inequalities for Parabolic Systems and Applications to Controllability
• Controllability of the heat equation with memory
• The cost of approximate controllability for heat equations: The linear case

This page was built for publication: Null controllability of nonlinear heat equation with memory effects