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This volume presents recent advances and open problems in the cross section of infinite-dimensional systems theory and the modern treatment of PDEs. Chapters are based on talks and problem sessions from the first “Workshop on Systems Theory and PDEs” (WOSTAP), held at TU Bergakademie Freiberg in July 2022. The main topics covered include:
Trends in Control Theory and Partial Differential Equations
Modern Problems in PDEs and Applications
Advances in Partial Differential Equations and Control
Control Theory and Inverse Problems
Control and Inverse Problems
Infinite Dimensional Dynamical Systems
Research in PDEs and Related Fields
Infinite Dimensional And Finite Dimensional Stochastic Equations And Applications In Physics
Control Theory of Partial Differential Equations
Contemporary Research in Elliptic PDEs and Related Topics
Geometry of PDEs and Related Problems
Primer for a Secret Shortcut to PDEs of Mathematical Physics