Functional Analysis Background of Ill-Posed Problems

Alemdar Hasanov Hasanoğlu and Vladimir G. Romanov
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Alemdar Hasanov Hasanoğlu: University of Kocaeli, Department of Mathematics
Vladimir G. Romanov: Sobolev Institute of Mathematics

Chapter Chapter 2 in Introduction to Inverse Problems for Differential Equations, 2021, pp 23-64 from Springer

Abstract: Abstract The main objective of this chapter is to present some necessary results of functional analysis, frequently used in study of inverse problems. For simplicity, we derive these results in Hilbert spaces. Let H be a vector space over the field of real ( ℝ $$\mathbb {R}$$ ) or complex ( ℂ $$\mathbb {C}$$ ) numbers.

Date: 2021
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DOI: 10.1007/978-3-030-79427-9_2

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