General result on measure solutions for semilinear evolution equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 42, Issue 8, 2000, Pages 1335-1349

  Ahmed, N U ^a  

^a UNIVERSITY OF OTTAWA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONFORMAL MAPPING; CONVERGENCE OF NUMERICAL METHODS; FUNCTION EVALUATION; INTEGRAL EQUATIONS; POLYNOMIALS; SET THEORY; THEOREM PROVING; TOPOLOGY;

ANALYTIC SEMIGROUPS; MEASURE SOLUTIONS; QUASILINEAR EQUATIONS; SEMILINEAR EVOLUTION EQUATIONS;

LINEAR EQUATIONS;

EID: 0342520749     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00145-5     Document Type: Article

References (8)

1. N.U. Ahmed, Semigroup Theory with Applications to Systems and Control, Pitman Res. Notes in Math. Ser., vol. 246, Longman Scientific and Technical and Wiley, London, New York, 1991.
2. Ahmed N.U. Optimal control of infinite dimensional systems governed by functional differential inclusions. Discuss. Math. Differential Inclusions. 15:1995;75-94.
3. N.U. Ahmed, Measure solutions for semilinear systems with unbounded nonlinearities, Nonlinear Anal. TMA (1997), 35 (1999) 487-503.
4. Ahmed N.U. Measure solutions for semilinear evolution equations with polynomial growth and their optimal controls. Discuss. Mathe. Differential Inclusions. 17:1997;5-27.
5. N. Dunford, J.T. Schwartz, Linear Operators, Part 1, Interscience Publishers, Inc., New York, 1958.
6. Fattorini H.O. A remark on existence of solutions of infinite dimensional noncompact optimal control problems. SIAM J. Control Optim. 35(4):1997;1422-1433.
7. H. Tanabe, Equations of Evolution, Pitman Monographs and Studies in Mathematics, vol. 6, London, 1979.
8. E. Zeidler, Nonlinear Functional Analysis and its Applications IIA, Linear Monotone Operators, Springer, New York, 1990.