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Minimax Solutions of the Dual Hamilton-Jacobi Equation
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A. Nowakowski
Published/Copyright:
June 9, 2010
Abstract
In the paper the existence and continuous dependence of a kind of minimax solution to the dual Hamilton-Jacobi equations is proved. The main difficulties which appear here are a special type of the boundary conditions and the transversality conditions which that solution must satisfy. That type of problems come from optimal control and game theory.
Key words and phrases.: Dual Hamilton-Jacobi equation; minimax solutions; generalized solutions; generalized problem of Bolza
Received: 2001-06-07
Revised: 2003-01-23
Published Online: 2010-06-09
Published in Print: 2003-June
© Heldermann Verlag
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- Crowded and Selective Ultrafilters under the Covering Property Axiom
- Solution of the Stieltjes Truncated Moment Problem
- Minimax Solutions of the Dual Hamilton-Jacobi Equation
- Nonexistence of Global Solutions to a Class of Nonlinear Differential Inequalities and Application to Hyperbolic–Elliptic Problems
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- On Maximal Element Problem and Quasi-Variational Inequality Problem in L.C. Metric Spaces
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Keywords for this article
Dual Hamilton-Jacobi equation;
minimax solutions;
generalized solutions;
generalized problem of Bolza
Articles in the same Issue
- Skew Products of Ideals
- Crowded and Selective Ultrafilters under the Covering Property Axiom
- Solution of the Stieltjes Truncated Moment Problem
- Minimax Solutions of the Dual Hamilton-Jacobi Equation
- Nonexistence of Global Solutions to a Class of Nonlinear Differential Inequalities and Application to Hyperbolic–Elliptic Problems
- Functions of Two Variables Whose Vertical Sections Are Equiderivatives
- On Maximal Element Problem and Quasi-Variational Inequality Problem in L.C. Metric Spaces
- On a Certain Generalization of the Krasnosel'skii Theorem
