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Course by Shiva Shankar «Controllability and Vector Potential»
October 20–November 3, 2019, Moscow, Steklov Mathematical Institute, 8 Gubkina
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The Controllability Question
Sh. Shankar |
Number of views: |
This page: | 78 | Materials: | 33 |
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Abstract:
The solvability question for systems of partial differential equations: the Fundamental
Principal of Malgrange and Palamadov [1,2]. The question dual to the solvability question.
Controllability for state space systems; its generalisation to distributed systems given as kernels
of differential operators defined over the ring $A=\mathbb{C}[\delta_1,\dots,\delta_n]$ of constant coefficient pde; the
functor $\mathsf{Hom}_A(-,\mathcal{F})$, where $\mathcal{F}$ is a space of distributions on $\mathbb{R}^n$; the description of the $A$-module
structure of $\mathcal{D}'$
, the space of distributions on $\mathbb{R}^n$, and of $\mathcal{C}^{\infty}, \mathcal{S}'$
etc.
Supplementary materials:
Shankar_Lecture1.pdf (297.9 Kb)
Language: English
References
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B. Malgrange, “Systèmes différentiels à coefficients constants”, Séminaire Bourbaki vol. 1962/63, 1963, 246.01–246.11
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V.P. Palamodov, “A remark on exponential representation of solutions of differential equations with constant coefficients”, Math. USSR Sbornik, 5 (1968), 401–416
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