Pontryagin's principle for the control of parabolic equations with gradient state constraints

[1]  Jean-Pierre Raymond,et al.  Time optimal problems with boundary controls , 2000, Differential and Integral Equations.

[2]  Eduardo Casas,et al.  Corrigendum: Optimal control of semilinear elliptic equations with pointwise constraints on the gradient of the state , 1993 .

[3]  Eduardo Casas,et al.  Optimal control of semilinear elliptic equations with pointwise constraints on the gradient of the state , 1993 .

[4]  H. O. Fattorini,et al.  Optimal control problems with state constraints for semilinear distributed-parameter systems , 1996 .

[5]  E. Casas,et al.  Pontryagin's Principle For Local Solutions of Control Problems with Mixed Control-State Constraints , 2000, SIAM J. Control. Optim..

[6]  Daniel Daners,et al.  Abstract evolution equations, periodic problems and applications , 1992 .

[7]  Jiongmin Yong,et al.  Pontryagin Maximum Principle for Semilinear and QuasilinearParabolic Equations with Pointwise State Constraints , 1995 .

[8]  O. Ladyženskaja.  Linear and Quasilinear Equations of Parabolic Type , 1968 .

[9]  H. Triebel.  Interpolation Theory, Function Spaces, Differential Operators , 1978 .

[10]  P. Grisvard.  Elliptic Problems in Nonsmooth Domains , 1985 .

[11]  Jean-Pierre Raymond,et al.  Pontryagin's Principle for State-Constrained Control Problems Governed by Parabolic Equations with Unbounded Controls , 1998 .

[12]  Luther W. White.  Control of a hyperbolic problem with pointwise stress constraints , 1983 .

[13]  J. Simon.  Compact sets in the spaceLp(O,T; B) , 1986 .

[14]  E. Casas.  Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations , 1997 .

[15]  Control Problems for Parabolic Equations with State Constraints and Unbounded Control Sets , 1998 .

[16]  Jean-Pierre Raymond,et al.  Hamiltonian Pontryagin's Principles for Control Problems Governed by Semilinear Parabolic Equations , 1999 .

[17]  Jiongmin Yong,et al.  Optimal Control Theory for Infinite Dimensional Systems , 1994 .