Measure solutions for semilinear and quasilinear evolution equations and their optimal control

Nonlinear Analysis, Theory, Methods and Applications

Volumn 40, Issue 1, 2000, Pages 51-72

  Ahmed, N U ^a  

^a UNIVERSITY OF OTTAWA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; GRAPH THEORY; INTEGRAL EQUATIONS; OPTIMAL CONTROL SYSTEMS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

BANACH SPACE; SEMILINEAR/QUASILINEAR EVOLUTION EQUATIONS;

LINEAR EQUATIONS;

EID: 0034172567     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(00)85004-X     Document Type: Article

References (11)

1. N.U. Ahmed, Measure solutions for semilinear evolution equations with polynomial growth and their optimal controls, Discuss. Math. Differential Inclusions 17 (1997) 5-27.
2. N.U. Ahmed, Measure solutions for semilinear systems with unbounded nonlinearities, Nonlinear Anal. TMA 35 (1998) 487-503.
3. N.U. Ahmed, A general result on measure solutions for semilinear evolution equations, Nonlinear Anal. TMA, to appear.
4. H.O. Fattorini, A remark on existence of solutions of infinite dimensional noncompact optimal control problems, SIAM J. Control Optim. 35 (4) (1997) 1422-1433.
5. N.U. Ahmed, Semigroup Theory with Applications to Systems and Control, Pitman Research Notes in Mathematics Series, Vol. 246, Longman Scientific and Technical and John Wiley, London, New York, 1991.
6. N.U. Ahmed, Optimal control of infinite dimensional systems governed by functional differential inclusions, Discuss. Math. Differential Inclusions 15 (1995) 75-94.
7. N.U. Ahmed, Optimal control of turbulent flow as measure solutions, IJCFD 11 (1998) 169-180.
8. N. Dunford, J.T. Schwartz, Linear Operators, Part 1, Interscience Publishers, New York, 1958.
9. H. Tanabe, Equations of Evolution, Pitman Monographs and Studies in Mathematics, Vol. 6, London, San Francisco, Melbourne, 1979.
10. E. Zeidler, Nonlinear Functional Analysis and its Applications IIA, Linear Monotone Operators, Springer, New York, 1990.
11. R.Temam, Infinite Dimensional Dynamical Systems in Mechanics and Physics, Applied Mathematical Sciences, Vol. 68, Springer, New York, 1988.