Cauchy problem for Hamilton-Jacobi equations and Dirichlet boundary control problems of parabolic type. (English) Zbl 0844.93039

Cannarsa, Piermarco; Tessitore, Maria Elisabetta

Casas, Eduardo (ed.), Control of partial differential equations and applications. Proceedings of the IFIP TC7/WG-7.2 international conference, Laredo, Spain, 1994. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 174, 31-42 (1996).

The paper is concerned with the initial value problem for an infinite dimensional Hamilton-Jacobi equation related to boundary control problems of Dirichlet type for semilinear parabolic systems. An existence and uniqueness result for the time dependent case is obtained.
For the entire collection see [Zbl 0834.00041].

Reviewer: G.Aniculaesei (Iaşi)

MSC:

93C20	Control/observation systems governed by partial differential equations
93C99	Model systems in control theory
49L25	Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games
49J20	Existence theories for optimal control problems involving partial differential equations

Keywords:

Hamilton-Jacobi equation; semilinear parabolic systems; time dependent