Infinite-dimensional Hamilton-Jacobi equations and Dirichlet boundary control problems of parabolic type

Infinite-dimensional Hamilton-Jacobi equations and Dirichlet boundary control problems of parabolic type

The paper is concerned with an infinite-dimensional Hamilton-Jacobi equation. This equation is related to boundary control problems of Dirichlet type for semilinear parabolic systems. The viscosity solution approach is adapted to the equation under consideration, using the properties of fractional p...

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Veröffentlicht in:SIAM journal on control and optimization 1996-11, Vol.34 (6), p.1831-1847
Hauptverfasser: CANNARSA, P, TESSITORE, M. E
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Boundary conditions
Computer science
control theory
systems
Control theory. Systems
Dynamic programming
Exact sciences and technology
Hilbert space
System theory
Viscosity
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Zusammenfassung:The paper is concerned with an infinite-dimensional Hamilton-Jacobi equation. This equation is related to boundary control problems of Dirichlet type for semilinear parabolic systems. The viscosity solution approach is adapted to the equation under consideration, using the properties of fractional powers of generators of analytic semigroups. An existence-and-uniqueness result for such problem is obtained.
ISSN:0363-0129
1095-7138
DOI:10.1137/S0363012994263354