Fréchet differentiability for a damped Kirchhoff-type equation and its application to bilinear minimax optimal control problems
DOI10.1155/2019/3238462zbMath1435.35041OpenAlexW2911461243WikidataQ115243917 ScholiaQ115243917MaRDI QIDQ2282952
Publication date: 23 December 2019
Published in: International Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2019/3238462
Initial-boundary value problems for second-order hyperbolic equations (35L20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72) PDEs in connection with control and optimization (35Q93)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bilinear minimax control problems for a class of parabolic systems with applications to control of nuclear reactors
- Optimal control problems for an extensible beam equation
- Compact sets in the space \(L^ p(0,T;B)\)
- Bilinear optimal control of the velocity term in a Kirchhoff plate equation
- Existence and exponential decay for a Kirchhoff-Carrier model with viscosity
- Infinite-dimensional dynamical systems in mechanics and physics.
- Optimal pointwise control of semilinear parabolic equations
- Optimal control problems for the equation of motion of membrane with strong viscosity
- Optimal control problems for Kirchhoff type equation with a damping term
- The Cauchy problem for Kirchhoff equations
- Minimax Control of Parabolic Systems with State Constraints
- Sharp regularity theory for elastic and thermoelastic Kirchhoff equations with free boundary conditions
This page was built for publication: Fréchet differentiability for a damped Kirchhoff-type equation and its application to bilinear minimax optimal control problems
