Abstract
We study Galpern—Sobolev equations with the help of a quaternionic operator calculus. Previous work is extended to the case of a variable dispersive term. We approximate the time derivative by forward finite differences. Solving the resulting stationary problems by means of a quaternionic calculus, we obtain representation formulae.
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© 2004 Birkhäuser Boston
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Sprössig, W. (2004). Quaternionic Calculus for a Class of Initial Boundary Value Problems. In: Abłamowicz, R. (eds) Clifford Algebras. Progress in Mathematical Physics, vol 34. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2044-2_9
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DOI: https://doi.org/10.1007/978-1-4612-2044-2_9
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3525-1
Online ISBN: 978-1-4612-2044-2
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