Optimal control problems in diffusion processes with a nonsmooth nonlinear boundary condition

DOI10.1002/mma.1670050109zbMath0509.49016OpenAlexW2053804675MaRDI QIDQ4747128

Ekkehard W. Sachs

Publication date: 1983

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670050109

zbMATH Keywords

boundary controlpositive solutionsdiffusion processnonsmooth nonlinear boundary condition

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items

A unified theory of necessary conditions for nonlinear nonconvex control systems

Cites Work

• Unnamed Item
• Unnamed Item
• Global convergence of quasi-Newton-type algorithms for some nonsmooth optimization problems
• On the optimal control of systems governed by nonlinear Volterra equations
• A nonlinear integral equation associated with gas absorption in a liquid
• Asymptotic behavior and bifurcation analysis for a nonlinear diffusion system arising from gas-liquid absorption
• Asymptotic Behavior of Solutions for a Parabolic Equation with Nonlinear Boundary Conditions
• Optimale Steuerung einer Klasse nichtlinearer Aufheizungsprozesse
• Optimale steuerung bei hammersteinschen integralgleichungen mit schwach singulären kernen
• A Parabolic Control Problem with a Boundary Condition of the Stefan‐Boltzmann Type