LEADER 04544nam 22006015 450 001 9910349323803321 005 20251113210959.0 010 $a3-030-17949-4 024 7 $a10.1007/978-3-030-17949-6 035 $a(CKB)4100000008618332 035 $a(MiAaPQ)EBC5811697 035 $a(DE-He213)978-3-030-17949-6 035 $a(PPN)238490084 035 $a(EXLCZ)994100000008618332 100 $a20190704d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTrends in Control Theory and Partial Differential Equations /$fedited by Fatiha Alabau-Boussouira, Fabio Ancona, Alessio Porretta, Carlo Sinestrari 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (276 pages) 225 1 $aSpringer INdAM Series,$x2281-5198 ;$v32 311 08$a3-030-17948-6 327 $a1 P. Albano, Some remarks on the Dirichlet problem for the degenerate eikonal equation -- 2 V. Basco and H. Frankowska, Lipschitz continuity of the value function for the infinite horizon optimal control problem under state constraints -- 3 P. Cannarsa et al., Herglotz' generalized variational principle and contact type Hamilton-Jacobi equations -- 4 P. Cannarsa et al., Observability inequalities for transport equations through Carleman estimates -- 5 I. Capuzzo Dolcetta, On the weak maximum principle for degenerate elliptic operators -- 6 P. Cardaliaguet, On the convergence of open loop Nash equilibria in mean field games with a local coupling -- 7 E. Fernández-Cara and D. A. Souza, Remarks on the control of a family of b-equations -- 8 G. Leugering et al., 1-d wave equations coupled via viscoelastic springs and masses: boundary controllability of a quasilinear and exponential stabilizability of a linear model -- 9 P. Loreti and D. Sforza, A semilinear integro-differential equation: global existence and hidden regularity -- 10 M. Mazzola and K. T. Nguyen, Lyapunov's theorem via Baire category -- 11 D. Pighin and E. Zuazua, Controllability under positivity constraints of multi-d wave equations -- 12 C. Pignotti and I. Reche Vallejo, Asymptotic analysis of a Cucker-Smale system with leadership and distributed delay -- 13 J. Vancostenoble, Global non-negative approximate controllability of parabolic equations with singular potentials. 330 $aThis book presents cutting-edge contributions in the areas of control theory and partial differential equations. Over the decades, control theory has had deep and fruitful interactions with the theory of partial differential equations (PDEs). Well-known examples are the study of the generalized solutions of Hamilton-Jacobi-Bellman equations arising in deterministic and stochastic optimal control and the development of modern analytical tools to study the controllability of infinite dimensional systems governed by PDEs. In the present volume, leading experts provide an up-to-date overview of the connections between these two vast fields of mathematics. Topics addressed include regularity of the value function associated to finite dimensional control systems, controllability and observability for PDEs, and asymptotic analysis of multiagent systems. The book will be of interest for both researchers and graduate students working in these areas. 410 0$aSpringer INdAM Series,$x2281-5198 ;$v32 606 $aDifferential equations 606 $aMathematical optimization 606 $aCalculus of variations 606 $aGame theory 606 $aDifferential Equations 606 $aCalculus of Variations and Optimization 606 $aGame Theory 615 0$aDifferential equations. 615 0$aMathematical optimization. 615 0$aCalculus of variations. 615 0$aGame theory. 615 14$aDifferential Equations. 615 24$aCalculus of Variations and Optimization. 615 24$aGame Theory. 676 $a515.353 676 $a515.353 702 $aAlabau-Boussouira$b Fatiha$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aAncona$b Fabio$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aPorretta$b Alessio$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSinestrari$b Carlo$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910349323803321 996 $aTrends in Control Theory and Partial Differential Equations$91733807 997 $aUNINA