02798nam 2200649 450 991080703310332120170816143344.01-4704-0221-1(CKB)3360000000464816(EBL)3114425(SSID)ssj0000889265(PQKBManifestationID)11493939(PQKBTitleCode)TC0000889265(PQKBWorkID)10874659(PQKB)10869886(MiAaPQ)EBC3114425(RPAM)1668559(PPN)195415167(EXLCZ)99336000000046481619980120h19981998 uy| 0engur|n|---|||||txtccrTime-dependent subdifferential evolution inclusions and optimal control /Shouchuan Hu, Nikolaos S. PapageorgiouProvidence, Rhode Island :American Mathematical Society,[1998]©19981 online resource (97 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 632"May 1998, volume 133, number 632 (third of 5 numbers)."0-8218-0779-X Includes bibliographical references.""Contents""; ""1. Introduction""; ""2. Preliminaries: Mathematical Background and Terminology""; ""3. Evolution Inclusions""; ""3.1. Existence results""; ""3.2. Extremal Solutions""; ""3.3. Relaxation Theorem""; ""3.4. Convergence Theorems""; ""3.5. Parametrized Relaxation""; ""3.6. A Topological Property of the Solution Set""; ""4. Optimal Control""; ""4.1. Existence Theory""; ""4.2. Relaxed Problem""; ""4.3. Well Posedness""; ""4.4. Relaxability vs. Well-Posedness""; ""5. Applications""; ""5.1. Obstacle Problems""; ""5.2. Navier-Stokes Equations""; ""5.3. Multivalued p.d.e's""""5.4. Nonlinear p.d.e's with Time Dependent Constraints""""5.5. Parametric Optimal Control Problems""; ""5.6. Differential Variational Inequalities""; ""References""Memoirs of the American Mathematical Society ;no. 632.SubdifferentialsDifferential inclusionsEvolution equationsControl theoryMathematical optimizationSubdifferentials.Differential inclusions.Evolution equations.Control theory.Mathematical optimization.510 s515/.35Hu Shouchuan730634Papageorgiou Nikolaos SocratesMiAaPQMiAaPQMiAaPQBOOK9910807033103321Time-dependent subdifferential evolution inclusions and optimal control3935634UNINA