Trends in Control Theory and Partial Differential Equations. 1st ed. 2019

種類:

電子ブック

責任表示:

edited by Fatiha Alabau-Boussouira, Fabio Ancona, Alessio Porretta, Carlo Sinestrari

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2019

著者名:

• Alabau-Boussouira, Fatiha.
• Ancona, Fabio.
• Porretta, Alessio.
• Sinestrari, Carlo.
• SpringerLink (Online service)

シリーズ名:

Springer INdAM Series ; 32

ISBN:

9783030179496 [3030179494]    

注記:

1 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 hidd
This 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.

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