Fourier transform approach to operator-dependent problems

Tobias Nau

Chapter 6 in Lp-Theory of Cylindrical Boundary Value Problems, 2012, pp 55-73 from Springer

Abstract: Abstract In this chapter we employ the continuous Fourier multiplier result Theorem 3.17 to investigate partial differential equations in the whole space ℝ n . These equations are allowed to depend on a closed linear operator in a suitable way. Apart from its own interest, this chapter provides the first part of an abstract background for the treatment of cylindrical boundary value problems later on.

Date: 2012
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DOI: 10.1007/978-3-8348-2505-6_6

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