On the structure of a solution set of controlled initial-boundary value problems

DOI10.3103/S1066369X16020109zbMath1342.35417MaRDI QIDQ283087

A. V. Chernov

Publication date: 13 May 2016

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

parabolic equationelliptic equationconvexity conditionfunctional operator equation of the Hammerstein typenonlinear distributed systemreachability tubetotal preservation of solvability

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Semilinear elliptic equations (35J61) Semilinear parabolic equations (35K58) PDEs in connection with control and optimization (35Q93)

Related Items (1)

Non-Volterra first-order test for the preservation of solvability of a controlled Hammerstein-type equation

Cites Work

• On a generalization of the method of monotone operators
• On the convexity of reachability sets of controlled initial-boundary value problems
• A majorant criterion for the total preservation of global solvability of controlled functional operator equation
• Convexity of reachable sets of nonlinear ordinary differential equations
• A majorant-minorant criterion for the total preservation of global solvability of a functional operator equation
• Convexity properties of the minimum time function
• Difference approximations of optimization problems for semilinear elliptic equations in a convex domain with controls in the coefficients multiplying the highest derivatives
• On Volterra type generalization of monotonization method for nonlinear functional operator equations
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