Introduction

Alexander Y. Khapalov
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Alexander Y. Khapalov: Washington State University, Department of Mathematics and Statistics

Chapter Chapter 1 in Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations, 2017, pp 1-10 from Springer

Abstract: Abstract The modern mathematical controllability theory of linear and semilinear partial differential equations (PDEs) with additive controls emerged about 50 years ago. It was strongly motivated by rising demand in the new areas of engineering applications (such as airspace technology and others). Since then it has received significant attention in the literature from both the engineering and applied mathematics research communities. Many powerful mathematical methods have been adopted to deal with a wide variety of applied problems including the so-called duality approach, the Hilbert uniqueness method, the techniques of harmonic and nonharmonic analysis, unique continuation, the multiplier method, Carleman estimates, microlocal analysis, and others (we refer the reader to the bibliography for further references).

Date: 2017
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DOI: 10.1007/978-3-319-60414-5_1

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