Abstract
Studying an inverse problem always requires a solid knowledge of the theory for the corresponding direct problem. Therefore, the following two chapters of our book are devoted to presenting the foundations of obstacle scattering problems for time-harmonic acoustic waves, that is, to exterior boundary value problems for the scalar Helmholtz equation. Our aim is to develop the analysis for the direct problems to an extent which is needed in the subsequent chapters on inverse problems.
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© 1992 Springer-Verlag Berlin Heidelberg
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Colton, D., Kress, R. (1992). The Helmholtz Equation. In: Inverse Acoustic and Electromagnetic Scattering Theory. Applied Mathematical Sciences, vol 93. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02835-3_2
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DOI: https://doi.org/10.1007/978-3-662-02835-3_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-02837-7
Online ISBN: 978-3-662-02835-3
eBook Packages: Springer Book Archive